question_id,task,image,prompt,groundtruth
fbd_0001_q1,Image Description,fbd_0001.png,How many force arrows are shown in this diagram?,4
fbd_0001_q2,Basic Relational Reasoning,fbd_0001.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0001_q3,Comparative Reasoning,fbd_0001.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0001_q4,Compound Reasoning,fbd_0001.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.66}"
fbd_0001_q5,Extrapolative/Counterfactual Reasoning,fbd_0001.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0002_q1,Image Description,fbd_0002.png,How many force arrows are shown in this diagram?,2
fbd_0002_q2,Basic Relational Reasoning,fbd_0002.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0002_q3,Comparative Reasoning,fbd_0002.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0002_q4,Compound Reasoning,fbd_0002.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 208.95}"
fbd_0002_q5,Extrapolative/Counterfactual Reasoning,fbd_0002.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0003_q1,Image Description,fbd_0003.png,How many force arrows are shown in this diagram?,4
fbd_0003_q2,Basic Relational Reasoning,fbd_0003.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0003_q3,Comparative Reasoning,fbd_0003.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0003_q4,Compound Reasoning,fbd_0003.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 96.24}"
fbd_0003_q5,Extrapolative/Counterfactual Reasoning,fbd_0003.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0004_q1,Image Description,fbd_0004.png,How many force arrows are shown in this diagram?,4
fbd_0004_q2,Basic Relational Reasoning,fbd_0004.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0004_q3,Comparative Reasoning,fbd_0004.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0004_q4,Compound Reasoning,fbd_0004.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 0.0}"
fbd_0004_q5,Extrapolative/Counterfactual Reasoning,fbd_0004.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0005_q1,Image Description,fbd_0005.png,How many force arrows are shown in this diagram?,2
fbd_0005_q2,Basic Relational Reasoning,fbd_0005.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0005_q3,Comparative Reasoning,fbd_0005.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0005_q4,Compound Reasoning,fbd_0005.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 156.67}"
fbd_0005_q5,Extrapolative/Counterfactual Reasoning,fbd_0005.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0006_q1,Image Description,fbd_0006.png,How many force arrows are shown in this diagram?,3
fbd_0006_q2,Basic Relational Reasoning,fbd_0006.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0006_q3,Comparative Reasoning,fbd_0006.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0006_q4,Compound Reasoning,fbd_0006.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_0006_q5,Extrapolative/Counterfactual Reasoning,fbd_0006.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (241 degrees; 0=right, 90=up)"
fbd_0007_q1,Image Description,fbd_0007.png,How many force arrows are shown in this diagram?,4
fbd_0007_q2,Basic Relational Reasoning,fbd_0007.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0007_q3,Comparative Reasoning,fbd_0007.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0007_q4,Compound Reasoning,fbd_0007.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 35.34, 'required_friction_coefficient': 0.45}"
fbd_0007_q5,Extrapolative/Counterfactual Reasoning,fbd_0007.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0008_q1,Image Description,fbd_0008.png,How many force arrows are shown in this diagram?,2
fbd_0008_q2,Basic Relational Reasoning,fbd_0008.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0008_q3,Comparative Reasoning,fbd_0008.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0008_q4,Compound Reasoning,fbd_0008.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 30.05, 'tension_magnitude': 64.42}"
fbd_0008_q5,Extrapolative/Counterfactual Reasoning,fbd_0008.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0009_q1,Image Description,fbd_0009.png,How many force arrows are shown in this diagram?,4
fbd_0009_q2,Basic Relational Reasoning,fbd_0009.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0009_q3,Comparative Reasoning,fbd_0009.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0009_q4,Compound Reasoning,fbd_0009.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 22.76, 'tension_magnitude': 154.31}"
fbd_0009_q5,Extrapolative/Counterfactual Reasoning,fbd_0009.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0010_q1,Image Description,fbd_0010.png,How many force arrows are shown in this diagram?,4
fbd_0010_q2,Basic Relational Reasoning,fbd_0010.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0010_q3,Comparative Reasoning,fbd_0010.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0010_q4,Compound Reasoning,fbd_0010.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 69.38}"
fbd_0010_q5,Extrapolative/Counterfactual Reasoning,fbd_0010.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (343.6 degrees; 0=right, 90=up)"
fbd_0011_q1,Image Description,fbd_0011.png,How many force arrows are shown in this diagram?,2
fbd_0011_q2,Basic Relational Reasoning,fbd_0011.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0011_q3,Comparative Reasoning,fbd_0011.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0011_q4,Compound Reasoning,fbd_0011.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 25.16, 'support_force_magnitude': 155.04}"
fbd_0011_q5,Extrapolative/Counterfactual Reasoning,fbd_0011.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0012_q1,Image Description,fbd_0012.png,How many force arrows are shown in this diagram?,3
fbd_0012_q2,Basic Relational Reasoning,fbd_0012.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0012_q3,Comparative Reasoning,fbd_0012.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0012_q4,Compound Reasoning,fbd_0012.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 27.86, 'required_friction_coefficient': 0.25}"
fbd_0012_q5,Extrapolative/Counterfactual Reasoning,fbd_0012.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (255.8 degrees; 0=right, 90=up)"
fbd_0013_q1,Image Description,fbd_0013.png,How many force arrows are shown in this diagram?,3
fbd_0013_q2,Basic Relational Reasoning,fbd_0013.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0013_q3,Comparative Reasoning,fbd_0013.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0013_q4,Compound Reasoning,fbd_0013.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_0013_q5,Extrapolative/Counterfactual Reasoning,fbd_0013.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0014_q1,Image Description,fbd_0014.png,How many force arrows are shown in this diagram?,1
fbd_0014_q2,Basic Relational Reasoning,fbd_0014.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0014_q3,Comparative Reasoning,fbd_0014.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0014_q4,Compound Reasoning,fbd_0014.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 75.64}"
fbd_0014_q5,Extrapolative/Counterfactual Reasoning,fbd_0014.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0015_q1,Image Description,fbd_0015.png,How many force arrows are shown in this diagram?,3
fbd_0015_q2,Basic Relational Reasoning,fbd_0015.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0015_q3,Comparative Reasoning,fbd_0015.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0015_q4,Compound Reasoning,fbd_0015.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 210.33}"
fbd_0015_q5,Extrapolative/Counterfactual Reasoning,fbd_0015.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0016_q1,Image Description,fbd_0016.png,How many force arrows are shown in this diagram?,3
fbd_0016_q2,Basic Relational Reasoning,fbd_0016.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0016_q3,Comparative Reasoning,fbd_0016.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0016_q4,Compound Reasoning,fbd_0016.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0}"
fbd_0016_q5,Extrapolative/Counterfactual Reasoning,fbd_0016.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0017_q1,Image Description,fbd_0017.png,How many force arrows are shown in this diagram?,1
fbd_0017_q2,Basic Relational Reasoning,fbd_0017.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0017_q3,Comparative Reasoning,fbd_0017.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0017_q4,Compound Reasoning,fbd_0017.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 140.77}"
fbd_0017_q5,Extrapolative/Counterfactual Reasoning,fbd_0017.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0018_q1,Image Description,fbd_0018.png,How many force arrows are shown in this diagram?,2
fbd_0018_q2,Basic Relational Reasoning,fbd_0018.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0018_q3,Comparative Reasoning,fbd_0018.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0018_q4,Compound Reasoning,fbd_0018.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_0018_q5,Extrapolative/Counterfactual Reasoning,fbd_0018.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_0019_q1,Image Description,fbd_0019.png,How many force arrows are shown in this diagram?,4
fbd_0019_q2,Basic Relational Reasoning,fbd_0019.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0019_q3,Comparative Reasoning,fbd_0019.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0019_q4,Compound Reasoning,fbd_0019.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.63, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 127.0, 'magnitude': 131.85656}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 162.0, 'magnitude': 131.85656}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0019_q5,Extrapolative/Counterfactual Reasoning,fbd_0019.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0020_q1,Image Description,fbd_0020.png,How many force arrows are shown in this diagram?,2
fbd_0020_q2,Basic Relational Reasoning,fbd_0020.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0020_q3,Comparative Reasoning,fbd_0020.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0020_q4,Compound Reasoning,fbd_0020.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 201.01, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 201.0069}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 281.40966}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0020_q5,Extrapolative/Counterfactual Reasoning,fbd_0020.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0021_q1,Image Description,fbd_0021.png,How many force arrows are shown in this diagram?,4
fbd_0021_q2,Basic Relational Reasoning,fbd_0021.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0021_q3,Comparative Reasoning,fbd_0021.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0021_q4,Compound Reasoning,fbd_0021.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 84.76, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 84.7584}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 84.7584}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0021_q5,Extrapolative/Counterfactual Reasoning,fbd_0021.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0022_q1,Image Description,fbd_0022.png,How many force arrows are shown in this diagram?,4
fbd_0022_q2,Basic Relational Reasoning,fbd_0022.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0022_q3,Comparative Reasoning,fbd_0022.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0022_q4,Compound Reasoning,fbd_0022.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.7, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 298.64}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 418.096}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0022_q5,Extrapolative/Counterfactual Reasoning,fbd_0022.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0023_q1,Image Description,fbd_0023.png,How many force arrows are shown in this diagram?,2
fbd_0023_q2,Basic Relational Reasoning,fbd_0023.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0023_q3,Comparative Reasoning,fbd_0023.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0023_q4,Compound Reasoning,fbd_0023.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 204.05, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 204.048}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 204.048}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0023_q5,Extrapolative/Counterfactual Reasoning,fbd_0023.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0024_q1,Image Description,fbd_0024.png,How many force arrows are shown in this diagram?,3
fbd_0024_q2,Basic Relational Reasoning,fbd_0024.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0024_q3,Comparative Reasoning,fbd_0024.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0024_q4,Compound Reasoning,fbd_0024.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 61.0, 'magnitude': 149.292336}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 61.0, 'magnitude': 209.00927}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0024_q5,Extrapolative/Counterfactual Reasoning,fbd_0024.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (241 degrees; 0=right, 90=up)"
fbd_0025_q1,Image Description,fbd_0025.png,How many force arrows are shown in this diagram?,4
fbd_0025_q2,Basic Relational Reasoning,fbd_0025.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0025_q3,Comparative Reasoning,fbd_0025.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0025_q4,Compound Reasoning,fbd_0025.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.65}"
fbd_0025_q5,Extrapolative/Counterfactual Reasoning,fbd_0025.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0026_q1,Image Description,fbd_0026.png,How many force arrows are shown in this diagram?,2
fbd_0026_q2,Basic Relational Reasoning,fbd_0026.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0026_q3,Comparative Reasoning,fbd_0026.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0026_q4,Compound Reasoning,fbd_0026.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 176.19}"
fbd_0026_q5,Extrapolative/Counterfactual Reasoning,fbd_0026.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0027_q1,Image Description,fbd_0027.png,How many force arrows are shown in this diagram?,4
fbd_0027_q2,Basic Relational Reasoning,fbd_0027.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0027_q3,Comparative Reasoning,fbd_0027.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0027_q4,Compound Reasoning,fbd_0027.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 160.69}"
fbd_0027_q5,Extrapolative/Counterfactual Reasoning,fbd_0027.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0028_q1,Image Description,fbd_0028.png,How many force arrows are shown in this diagram?,4
fbd_0028_q2,Basic Relational Reasoning,fbd_0028.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0028_q3,Comparative Reasoning,fbd_0028.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0028_q4,Compound Reasoning,fbd_0028.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.7, 'net_force_N': 0.0}"
fbd_0028_q5,Extrapolative/Counterfactual Reasoning,fbd_0028.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0029_q1,Image Description,fbd_0029.png,How many force arrows are shown in this diagram?,2
fbd_0029_q2,Basic Relational Reasoning,fbd_0029.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0029_q3,Comparative Reasoning,fbd_0029.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0029_q4,Compound Reasoning,fbd_0029.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 144.89}"
fbd_0029_q5,Extrapolative/Counterfactual Reasoning,fbd_0029.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0030_q1,Image Description,fbd_0030.png,How many force arrows are shown in this diagram?,3
fbd_0030_q2,Basic Relational Reasoning,fbd_0030.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0030_q3,Comparative Reasoning,fbd_0030.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0030_q4,Compound Reasoning,fbd_0030.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36}"
fbd_0030_q5,Extrapolative/Counterfactual Reasoning,fbd_0030.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_0031_q1,Image Description,fbd_0031.png,How many force arrows are shown in this diagram?,4
fbd_0031_q2,Basic Relational Reasoning,fbd_0031.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0031_q3,Comparative Reasoning,fbd_0031.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0031_q4,Compound Reasoning,fbd_0031.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 17.03, 'required_friction_coefficient': 0.41}"
fbd_0031_q5,Extrapolative/Counterfactual Reasoning,fbd_0031.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0032_q1,Image Description,fbd_0032.png,How many force arrows are shown in this diagram?,2
fbd_0032_q2,Basic Relational Reasoning,fbd_0032.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0032_q3,Comparative Reasoning,fbd_0032.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0032_q4,Compound Reasoning,fbd_0032.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 10.64, 'tension_magnitude': 60.38}"
fbd_0032_q5,Extrapolative/Counterfactual Reasoning,fbd_0032.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0033_q1,Image Description,fbd_0033.png,How many force arrows are shown in this diagram?,4
fbd_0033_q2,Basic Relational Reasoning,fbd_0033.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0033_q3,Comparative Reasoning,fbd_0033.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0033_q4,Compound Reasoning,fbd_0033.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 29.26, 'tension_magnitude': 177.69}"
fbd_0033_q5,Extrapolative/Counterfactual Reasoning,fbd_0033.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0034_q1,Image Description,fbd_0034.png,How many force arrows are shown in this diagram?,4
fbd_0034_q2,Basic Relational Reasoning,fbd_0034.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0034_q3,Comparative Reasoning,fbd_0034.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0034_q4,Compound Reasoning,fbd_0034.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 49.58}"
fbd_0034_q5,Extrapolative/Counterfactual Reasoning,fbd_0034.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (348.2 degrees; 0=right, 90=up)"
fbd_0035_q1,Image Description,fbd_0035.png,How many force arrows are shown in this diagram?,2
fbd_0035_q2,Basic Relational Reasoning,fbd_0035.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0035_q3,Comparative Reasoning,fbd_0035.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0035_q4,Compound Reasoning,fbd_0035.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 36.8, 'support_force_magnitude': 108.19}"
fbd_0035_q5,Extrapolative/Counterfactual Reasoning,fbd_0035.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0036_q1,Image Description,fbd_0036.png,How many force arrows are shown in this diagram?,3
fbd_0036_q2,Basic Relational Reasoning,fbd_0036.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0036_q3,Comparative Reasoning,fbd_0036.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0036_q4,Compound Reasoning,fbd_0036.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 31.88, 'required_friction_coefficient': 0.0}"
fbd_0036_q5,Extrapolative/Counterfactual Reasoning,fbd_0036.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (270.1 degrees; 0=right, 90=up)"
fbd_0037_q1,Image Description,fbd_0037.png,How many force arrows are shown in this diagram?,3
fbd_0037_q2,Basic Relational Reasoning,fbd_0037.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0037_q3,Comparative Reasoning,fbd_0037.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0037_q4,Compound Reasoning,fbd_0037.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_0037_q5,Extrapolative/Counterfactual Reasoning,fbd_0037.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0038_q1,Image Description,fbd_0038.png,How many force arrows are shown in this diagram?,1
fbd_0038_q2,Basic Relational Reasoning,fbd_0038.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0038_q3,Comparative Reasoning,fbd_0038.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0038_q4,Compound Reasoning,fbd_0038.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 159.22}"
fbd_0038_q5,Extrapolative/Counterfactual Reasoning,fbd_0038.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0039_q1,Image Description,fbd_0039.png,How many force arrows are shown in this diagram?,3
fbd_0039_q2,Basic Relational Reasoning,fbd_0039.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0039_q3,Comparative Reasoning,fbd_0039.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0039_q4,Compound Reasoning,fbd_0039.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 91.82}"
fbd_0039_q5,Extrapolative/Counterfactual Reasoning,fbd_0039.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0040_q1,Image Description,fbd_0040.png,How many force arrows are shown in this diagram?,3
fbd_0040_q2,Basic Relational Reasoning,fbd_0040.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0040_q3,Comparative Reasoning,fbd_0040.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0040_q4,Compound Reasoning,fbd_0040.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 0.0}"
fbd_0040_q5,Extrapolative/Counterfactual Reasoning,fbd_0040.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0041_q1,Image Description,fbd_0041.png,How many force arrows are shown in this diagram?,1
fbd_0041_q2,Basic Relational Reasoning,fbd_0041.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0041_q3,Comparative Reasoning,fbd_0041.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0041_q4,Compound Reasoning,fbd_0041.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 118.7}"
fbd_0041_q5,Extrapolative/Counterfactual Reasoning,fbd_0041.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0042_q1,Image Description,fbd_0042.png,How many force arrows are shown in this diagram?,2
fbd_0042_q2,Basic Relational Reasoning,fbd_0042.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0042_q3,Comparative Reasoning,fbd_0042.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0042_q4,Compound Reasoning,fbd_0042.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29}"
fbd_0042_q5,Extrapolative/Counterfactual Reasoning,fbd_0042.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_0043_q1,Image Description,fbd_0043.png,How many force arrows are shown in this diagram?,4
fbd_0043_q2,Basic Relational Reasoning,fbd_0043.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0043_q3,Comparative Reasoning,fbd_0043.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0043_q4,Compound Reasoning,fbd_0043.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.61, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 126.0, 'magnitude': 52.539343}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 161.0, 'magnitude': 52.539343}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0043_q5,Extrapolative/Counterfactual Reasoning,fbd_0043.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0044_q1,Image Description,fbd_0044.png,How many force arrows are shown in this diagram?,2
fbd_0044_q2,Basic Relational Reasoning,fbd_0044.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0044_q3,Comparative Reasoning,fbd_0044.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0044_q4,Compound Reasoning,fbd_0044.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 123.02, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 123.0174}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 172.22436}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0044_q5,Extrapolative/Counterfactual Reasoning,fbd_0044.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0045_q1,Image Description,fbd_0045.png,How many force arrows are shown in this diagram?,4
fbd_0045_q2,Basic Relational Reasoning,fbd_0045.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0045_q3,Comparative Reasoning,fbd_0045.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0045_q4,Compound Reasoning,fbd_0045.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 101.53, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 101.5335}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 101.5335}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0045_q5,Extrapolative/Counterfactual Reasoning,fbd_0045.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0046_q1,Image Description,fbd_0046.png,How many force arrows are shown in this diagram?,4
fbd_0046_q2,Basic Relational Reasoning,fbd_0046.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0046_q3,Comparative Reasoning,fbd_0046.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0046_q4,Compound Reasoning,fbd_0046.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 311.27}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 435.778}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0046_q5,Extrapolative/Counterfactual Reasoning,fbd_0046.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0047_q1,Image Description,fbd_0047.png,How many force arrows are shown in this diagram?,2
fbd_0047_q2,Basic Relational Reasoning,fbd_0047.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0047_q3,Comparative Reasoning,fbd_0047.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0047_q4,Compound Reasoning,fbd_0047.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 114.09, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 114.0903}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 114.0903}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0047_q5,Extrapolative/Counterfactual Reasoning,fbd_0047.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0048_q1,Image Description,fbd_0048.png,How many force arrows are shown in this diagram?,3
fbd_0048_q2,Basic Relational Reasoning,fbd_0048.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0048_q3,Comparative Reasoning,fbd_0048.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0048_q4,Compound Reasoning,fbd_0048.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.32, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 72.0, 'magnitude': 137.802098}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 72.0, 'magnitude': 192.922937}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0048_q5,Extrapolative/Counterfactual Reasoning,fbd_0048.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_0049_q1,Image Description,fbd_0049.png,How many force arrows are shown in this diagram?,4
fbd_0049_q2,Basic Relational Reasoning,fbd_0049.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0049_q3,Comparative Reasoning,fbd_0049.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0049_q4,Compound Reasoning,fbd_0049.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.5}"
fbd_0049_q5,Extrapolative/Counterfactual Reasoning,fbd_0049.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0050_q1,Image Description,fbd_0050.png,How many force arrows are shown in this diagram?,2
fbd_0050_q2,Basic Relational Reasoning,fbd_0050.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0050_q3,Comparative Reasoning,fbd_0050.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0050_q4,Compound Reasoning,fbd_0050.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 136.95}"
fbd_0050_q5,Extrapolative/Counterfactual Reasoning,fbd_0050.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0051_q1,Image Description,fbd_0051.png,How many force arrows are shown in this diagram?,4
fbd_0051_q2,Basic Relational Reasoning,fbd_0051.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0051_q3,Comparative Reasoning,fbd_0051.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0051_q4,Compound Reasoning,fbd_0051.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 97.12}"
fbd_0051_q5,Extrapolative/Counterfactual Reasoning,fbd_0051.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0052_q1,Image Description,fbd_0052.png,How many force arrows are shown in this diagram?,4
fbd_0052_q2,Basic Relational Reasoning,fbd_0052.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0052_q3,Comparative Reasoning,fbd_0052.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0052_q4,Compound Reasoning,fbd_0052.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.72, 'net_force_N': 0.0}"
fbd_0052_q5,Extrapolative/Counterfactual Reasoning,fbd_0052.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0053_q1,Image Description,fbd_0053.png,How many force arrows are shown in this diagram?,2
fbd_0053_q2,Basic Relational Reasoning,fbd_0053.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0053_q3,Comparative Reasoning,fbd_0053.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0053_q4,Compound Reasoning,fbd_0053.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 155.68}"
fbd_0053_q5,Extrapolative/Counterfactual Reasoning,fbd_0053.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0054_q1,Image Description,fbd_0054.png,How many force arrows are shown in this diagram?,3
fbd_0054_q2,Basic Relational Reasoning,fbd_0054.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0054_q3,Comparative Reasoning,fbd_0054.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0054_q4,Compound Reasoning,fbd_0054.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.32}"
fbd_0054_q5,Extrapolative/Counterfactual Reasoning,fbd_0054.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_0055_q1,Image Description,fbd_0055.png,How many force arrows are shown in this diagram?,4
fbd_0055_q2,Basic Relational Reasoning,fbd_0055.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0055_q3,Comparative Reasoning,fbd_0055.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0055_q4,Compound Reasoning,fbd_0055.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 19.18, 'required_friction_coefficient': 0.48}"
fbd_0055_q5,Extrapolative/Counterfactual Reasoning,fbd_0055.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0056_q1,Image Description,fbd_0056.png,How many force arrows are shown in this diagram?,2
fbd_0056_q2,Basic Relational Reasoning,fbd_0056.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0056_q3,Comparative Reasoning,fbd_0056.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0056_q4,Compound Reasoning,fbd_0056.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 47.83, 'tension_magnitude': 162.59}"
fbd_0056_q5,Extrapolative/Counterfactual Reasoning,fbd_0056.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0057_q1,Image Description,fbd_0057.png,How many force arrows are shown in this diagram?,4
fbd_0057_q2,Basic Relational Reasoning,fbd_0057.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0057_q3,Comparative Reasoning,fbd_0057.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0057_q4,Compound Reasoning,fbd_0057.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 22.8, 'tension_magnitude': 88.33}"
fbd_0057_q5,Extrapolative/Counterfactual Reasoning,fbd_0057.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0058_q1,Image Description,fbd_0058.png,How many force arrows are shown in this diagram?,4
fbd_0058_q2,Basic Relational Reasoning,fbd_0058.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0058_q3,Comparative Reasoning,fbd_0058.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0058_q4,Compound Reasoning,fbd_0058.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.68, 'net_force_N': 73.62}"
fbd_0058_q5,Extrapolative/Counterfactual Reasoning,fbd_0058.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (341.5 degrees; 0=right, 90=up)"
fbd_0059_q1,Image Description,fbd_0059.png,How many force arrows are shown in this diagram?,2
fbd_0059_q2,Basic Relational Reasoning,fbd_0059.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0059_q3,Comparative Reasoning,fbd_0059.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0059_q4,Compound Reasoning,fbd_0059.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 10.07, 'support_force_magnitude': 104.15}"
fbd_0059_q5,Extrapolative/Counterfactual Reasoning,fbd_0059.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0060_q1,Image Description,fbd_0060.png,How many force arrows are shown in this diagram?,3
fbd_0060_q2,Basic Relational Reasoning,fbd_0060.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0060_q3,Comparative Reasoning,fbd_0060.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0060_q4,Compound Reasoning,fbd_0060.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 20.58, 'required_friction_coefficient': 0.25}"
fbd_0060_q5,Extrapolative/Counterfactual Reasoning,fbd_0060.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (255.9 degrees; 0=right, 90=up)"
fbd_0061_q1,Image Description,fbd_0061.png,How many force arrows are shown in this diagram?,3
fbd_0061_q2,Basic Relational Reasoning,fbd_0061.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0061_q3,Comparative Reasoning,fbd_0061.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0061_q4,Compound Reasoning,fbd_0061.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_0061_q5,Extrapolative/Counterfactual Reasoning,fbd_0061.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0062_q1,Image Description,fbd_0062.png,How many force arrows are shown in this diagram?,1
fbd_0062_q2,Basic Relational Reasoning,fbd_0062.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0062_q3,Comparative Reasoning,fbd_0062.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0062_q4,Compound Reasoning,fbd_0062.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 204.54}"
fbd_0062_q5,Extrapolative/Counterfactual Reasoning,fbd_0062.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0063_q1,Image Description,fbd_0063.png,How many force arrows are shown in this diagram?,3
fbd_0063_q2,Basic Relational Reasoning,fbd_0063.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0063_q3,Comparative Reasoning,fbd_0063.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0063_q4,Compound Reasoning,fbd_0063.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 128.71}"
fbd_0063_q5,Extrapolative/Counterfactual Reasoning,fbd_0063.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0064_q1,Image Description,fbd_0064.png,How many force arrows are shown in this diagram?,3
fbd_0064_q2,Basic Relational Reasoning,fbd_0064.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0064_q3,Comparative Reasoning,fbd_0064.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0064_q4,Compound Reasoning,fbd_0064.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 0.0}"
fbd_0064_q5,Extrapolative/Counterfactual Reasoning,fbd_0064.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0065_q1,Image Description,fbd_0065.png,How many force arrows are shown in this diagram?,1
fbd_0065_q2,Basic Relational Reasoning,fbd_0065.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0065_q3,Comparative Reasoning,fbd_0065.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0065_q4,Compound Reasoning,fbd_0065.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 124.0}"
fbd_0065_q5,Extrapolative/Counterfactual Reasoning,fbd_0065.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0066_q1,Image Description,fbd_0066.png,How many force arrows are shown in this diagram?,2
fbd_0066_q2,Basic Relational Reasoning,fbd_0066.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0066_q3,Comparative Reasoning,fbd_0066.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0066_q4,Compound Reasoning,fbd_0066.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_0066_q5,Extrapolative/Counterfactual Reasoning,fbd_0066.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_0067_q1,Image Description,fbd_0067.png,How many force arrows are shown in this diagram?,4
fbd_0067_q2,Basic Relational Reasoning,fbd_0067.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0067_q3,Comparative Reasoning,fbd_0067.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0067_q4,Compound Reasoning,fbd_0067.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.66, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 127.0, 'magnitude': 56.409223}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 162.0, 'magnitude': 56.409223}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0067_q5,Extrapolative/Counterfactual Reasoning,fbd_0067.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0068_q1,Image Description,fbd_0068.png,How many force arrows are shown in this diagram?,2
fbd_0068_q2,Basic Relational Reasoning,fbd_0068.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0068_q3,Comparative Reasoning,fbd_0068.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0068_q4,Compound Reasoning,fbd_0068.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 175.3, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 175.3047}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 245.42658}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0068_q5,Extrapolative/Counterfactual Reasoning,fbd_0068.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0069_q1,Image Description,fbd_0069.png,How many force arrows are shown in this diagram?,4
fbd_0069_q2,Basic Relational Reasoning,fbd_0069.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0069_q3,Comparative Reasoning,fbd_0069.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0069_q4,Compound Reasoning,fbd_0069.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 166.28, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 166.2795}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 166.2795}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0069_q5,Extrapolative/Counterfactual Reasoning,fbd_0069.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0070_q1,Image Description,fbd_0070.png,How many force arrows are shown in this diagram?,4
fbd_0070_q2,Basic Relational Reasoning,fbd_0070.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0070_q3,Comparative Reasoning,fbd_0070.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0070_q4,Compound Reasoning,fbd_0070.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 304.91}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 426.874}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0070_q5,Extrapolative/Counterfactual Reasoning,fbd_0070.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0071_q1,Image Description,fbd_0071.png,How many force arrows are shown in this diagram?,2
fbd_0071_q2,Basic Relational Reasoning,fbd_0071.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0071_q3,Comparative Reasoning,fbd_0071.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0071_q4,Compound Reasoning,fbd_0071.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 109.68, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 109.6758}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 109.6758}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0071_q5,Extrapolative/Counterfactual Reasoning,fbd_0071.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0072_q1,Image Description,fbd_0072.png,How many force arrows are shown in this diagram?,3
fbd_0072_q2,Basic Relational Reasoning,fbd_0072.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0072_q3,Comparative Reasoning,fbd_0072.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0072_q4,Compound Reasoning,fbd_0072.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 65.0, 'magnitude': 63.747605}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 65.0, 'magnitude': 89.246647}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0072_q5,Extrapolative/Counterfactual Reasoning,fbd_0072.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_0073_q1,Image Description,fbd_0073.png,How many force arrows are shown in this diagram?,4
fbd_0073_q2,Basic Relational Reasoning,fbd_0073.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0073_q3,Comparative Reasoning,fbd_0073.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0073_q4,Compound Reasoning,fbd_0073.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.57}"
fbd_0073_q5,Extrapolative/Counterfactual Reasoning,fbd_0073.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0074_q1,Image Description,fbd_0074.png,How many force arrows are shown in this diagram?,2
fbd_0074_q2,Basic Relational Reasoning,fbd_0074.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0074_q3,Comparative Reasoning,fbd_0074.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0074_q4,Compound Reasoning,fbd_0074.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 193.85}"
fbd_0074_q5,Extrapolative/Counterfactual Reasoning,fbd_0074.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0075_q1,Image Description,fbd_0075.png,How many force arrows are shown in this diagram?,4
fbd_0075_q2,Basic Relational Reasoning,fbd_0075.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0075_q3,Comparative Reasoning,fbd_0075.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0075_q4,Compound Reasoning,fbd_0075.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 129.59}"
fbd_0075_q5,Extrapolative/Counterfactual Reasoning,fbd_0075.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0076_q1,Image Description,fbd_0076.png,How many force arrows are shown in this diagram?,4
fbd_0076_q2,Basic Relational Reasoning,fbd_0076.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0076_q3,Comparative Reasoning,fbd_0076.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0076_q4,Compound Reasoning,fbd_0076.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 0.0}"
fbd_0076_q5,Extrapolative/Counterfactual Reasoning,fbd_0076.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0077_q1,Image Description,fbd_0077.png,How many force arrows are shown in this diagram?,2
fbd_0077_q2,Basic Relational Reasoning,fbd_0077.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0077_q3,Comparative Reasoning,fbd_0077.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0077_q4,Compound Reasoning,fbd_0077.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 184.33}"
fbd_0077_q5,Extrapolative/Counterfactual Reasoning,fbd_0077.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0078_q1,Image Description,fbd_0078.png,How many force arrows are shown in this diagram?,3
fbd_0078_q2,Basic Relational Reasoning,fbd_0078.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0078_q3,Comparative Reasoning,fbd_0078.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0078_q4,Compound Reasoning,fbd_0078.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_0078_q5,Extrapolative/Counterfactual Reasoning,fbd_0078.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_0079_q1,Image Description,fbd_0079.png,How many force arrows are shown in this diagram?,4
fbd_0079_q2,Basic Relational Reasoning,fbd_0079.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0079_q3,Comparative Reasoning,fbd_0079.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0079_q4,Compound Reasoning,fbd_0079.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 27.09, 'required_friction_coefficient': 0.5}"
fbd_0079_q5,Extrapolative/Counterfactual Reasoning,fbd_0079.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0080_q1,Image Description,fbd_0080.png,How many force arrows are shown in this diagram?,2
fbd_0080_q2,Basic Relational Reasoning,fbd_0080.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0080_q3,Comparative Reasoning,fbd_0080.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0080_q4,Compound Reasoning,fbd_0080.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 22.64, 'tension_magnitude': 78.79}"
fbd_0080_q5,Extrapolative/Counterfactual Reasoning,fbd_0080.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0081_q1,Image Description,fbd_0081.png,How many force arrows are shown in this diagram?,4
fbd_0081_q2,Basic Relational Reasoning,fbd_0081.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0081_q3,Comparative Reasoning,fbd_0081.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0081_q4,Compound Reasoning,fbd_0081.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 24.83, 'tension_magnitude': 163.15}"
fbd_0081_q5,Extrapolative/Counterfactual Reasoning,fbd_0081.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0082_q1,Image Description,fbd_0082.png,How many force arrows are shown in this diagram?,4
fbd_0082_q2,Basic Relational Reasoning,fbd_0082.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0082_q3,Comparative Reasoning,fbd_0082.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0082_q4,Compound Reasoning,fbd_0082.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 39.19}"
fbd_0082_q5,Extrapolative/Counterfactual Reasoning,fbd_0082.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (343.5 degrees; 0=right, 90=up)"
fbd_0083_q1,Image Description,fbd_0083.png,How many force arrows are shown in this diagram?,2
fbd_0083_q2,Basic Relational Reasoning,fbd_0083.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0083_q3,Comparative Reasoning,fbd_0083.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0083_q4,Compound Reasoning,fbd_0083.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 16.45, 'support_force_magnitude': 153.2}"
fbd_0083_q5,Extrapolative/Counterfactual Reasoning,fbd_0083.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0084_q1,Image Description,fbd_0084.png,How many force arrows are shown in this diagram?,3
fbd_0084_q2,Basic Relational Reasoning,fbd_0084.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0084_q3,Comparative Reasoning,fbd_0084.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0084_q4,Compound Reasoning,fbd_0084.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 39.67, 'required_friction_coefficient': 0.31}"
fbd_0084_q5,Extrapolative/Counterfactual Reasoning,fbd_0084.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252.9 degrees; 0=right, 90=up)"
fbd_0085_q1,Image Description,fbd_0085.png,How many force arrows are shown in this diagram?,3
fbd_0085_q2,Basic Relational Reasoning,fbd_0085.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0085_q3,Comparative Reasoning,fbd_0085.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0085_q4,Compound Reasoning,fbd_0085.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.57}"
fbd_0085_q5,Extrapolative/Counterfactual Reasoning,fbd_0085.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0086_q1,Image Description,fbd_0086.png,How many force arrows are shown in this diagram?,1
fbd_0086_q2,Basic Relational Reasoning,fbd_0086.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0086_q3,Comparative Reasoning,fbd_0086.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0086_q4,Compound Reasoning,fbd_0086.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 183.05}"
fbd_0086_q5,Extrapolative/Counterfactual Reasoning,fbd_0086.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0087_q1,Image Description,fbd_0087.png,How many force arrows are shown in this diagram?,3
fbd_0087_q2,Basic Relational Reasoning,fbd_0087.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0087_q3,Comparative Reasoning,fbd_0087.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0087_q4,Compound Reasoning,fbd_0087.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 81.82}"
fbd_0087_q5,Extrapolative/Counterfactual Reasoning,fbd_0087.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0088_q1,Image Description,fbd_0088.png,How many force arrows are shown in this diagram?,3
fbd_0088_q2,Basic Relational Reasoning,fbd_0088.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0088_q3,Comparative Reasoning,fbd_0088.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0088_q4,Compound Reasoning,fbd_0088.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 0.0}"
fbd_0088_q5,Extrapolative/Counterfactual Reasoning,fbd_0088.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0089_q1,Image Description,fbd_0089.png,How many force arrows are shown in this diagram?,1
fbd_0089_q2,Basic Relational Reasoning,fbd_0089.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0089_q3,Comparative Reasoning,fbd_0089.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0089_q4,Compound Reasoning,fbd_0089.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 71.61}"
fbd_0089_q5,Extrapolative/Counterfactual Reasoning,fbd_0089.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0090_q1,Image Description,fbd_0090.png,How many force arrows are shown in this diagram?,2
fbd_0090_q2,Basic Relational Reasoning,fbd_0090.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0090_q3,Comparative Reasoning,fbd_0090.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0090_q4,Compound Reasoning,fbd_0090.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_0090_q5,Extrapolative/Counterfactual Reasoning,fbd_0090.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_0091_q1,Image Description,fbd_0091.png,How many force arrows are shown in this diagram?,4
fbd_0091_q2,Basic Relational Reasoning,fbd_0091.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0091_q3,Comparative Reasoning,fbd_0091.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0091_q4,Compound Reasoning,fbd_0091.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 117.0, 'magnitude': 64.157281}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 152.0, 'magnitude': 64.157281}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0091_q5,Extrapolative/Counterfactual Reasoning,fbd_0091.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0092_q1,Image Description,fbd_0092.png,How many force arrows are shown in this diagram?,2
fbd_0092_q2,Basic Relational Reasoning,fbd_0092.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0092_q3,Comparative Reasoning,fbd_0092.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0092_q4,Compound Reasoning,fbd_0092.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 124.98, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 124.9794}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 174.97116}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0092_q5,Extrapolative/Counterfactual Reasoning,fbd_0092.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0093_q1,Image Description,fbd_0093.png,How many force arrows are shown in this diagram?,4
fbd_0093_q2,Basic Relational Reasoning,fbd_0093.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0093_q3,Comparative Reasoning,fbd_0093.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0093_q4,Compound Reasoning,fbd_0093.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 202.09, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 202.086}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 202.086}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0093_q5,Extrapolative/Counterfactual Reasoning,fbd_0093.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0094_q1,Image Description,fbd_0094.png,How many force arrows are shown in this diagram?,4
fbd_0094_q2,Basic Relational Reasoning,fbd_0094.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0094_q3,Comparative Reasoning,fbd_0094.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0094_q4,Compound Reasoning,fbd_0094.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 205.22}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 287.308}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0094_q5,Extrapolative/Counterfactual Reasoning,fbd_0094.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0095_q1,Image Description,fbd_0095.png,How many force arrows are shown in this diagram?,2
fbd_0095_q2,Basic Relational Reasoning,fbd_0095.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0095_q3,Comparative Reasoning,fbd_0095.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0095_q4,Compound Reasoning,fbd_0095.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 178.15, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 178.1496}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 178.1496}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0095_q5,Extrapolative/Counterfactual Reasoning,fbd_0095.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0096_q1,Image Description,fbd_0096.png,How many force arrows are shown in this diagram?,3
fbd_0096_q2,Basic Relational Reasoning,fbd_0096.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0096_q3,Comparative Reasoning,fbd_0096.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0096_q4,Compound Reasoning,fbd_0096.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 60.0, 'magnitude': 101.353811}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 60.0, 'magnitude': 141.895335}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0096_q5,Extrapolative/Counterfactual Reasoning,fbd_0096.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_0097_q1,Image Description,fbd_0097.png,How many force arrows are shown in this diagram?,4
fbd_0097_q2,Basic Relational Reasoning,fbd_0097.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0097_q3,Comparative Reasoning,fbd_0097.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0097_q4,Compound Reasoning,fbd_0097.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.62}"
fbd_0097_q5,Extrapolative/Counterfactual Reasoning,fbd_0097.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0098_q1,Image Description,fbd_0098.png,How many force arrows are shown in this diagram?,2
fbd_0098_q2,Basic Relational Reasoning,fbd_0098.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0098_q3,Comparative Reasoning,fbd_0098.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0098_q4,Compound Reasoning,fbd_0098.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 114.78}"
fbd_0098_q5,Extrapolative/Counterfactual Reasoning,fbd_0098.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0099_q1,Image Description,fbd_0099.png,How many force arrows are shown in this diagram?,4
fbd_0099_q2,Basic Relational Reasoning,fbd_0099.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0099_q3,Comparative Reasoning,fbd_0099.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0099_q4,Compound Reasoning,fbd_0099.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 122.23}"
fbd_0099_q5,Extrapolative/Counterfactual Reasoning,fbd_0099.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0100_q1,Image Description,fbd_0100.png,How many force arrows are shown in this diagram?,4
fbd_0100_q2,Basic Relational Reasoning,fbd_0100.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0100_q3,Comparative Reasoning,fbd_0100.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0100_q4,Compound Reasoning,fbd_0100.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0}"
fbd_0100_q5,Extrapolative/Counterfactual Reasoning,fbd_0100.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0101_q1,Image Description,fbd_0101.png,How many force arrows are shown in this diagram?,2
fbd_0101_q2,Basic Relational Reasoning,fbd_0101.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0101_q3,Comparative Reasoning,fbd_0101.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0101_q4,Compound Reasoning,fbd_0101.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 150.09}"
fbd_0101_q5,Extrapolative/Counterfactual Reasoning,fbd_0101.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0102_q1,Image Description,fbd_0102.png,How many force arrows are shown in this diagram?,3
fbd_0102_q2,Basic Relational Reasoning,fbd_0102.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0102_q3,Comparative Reasoning,fbd_0102.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0102_q4,Compound Reasoning,fbd_0102.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_0102_q5,Extrapolative/Counterfactual Reasoning,fbd_0102.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_0103_q1,Image Description,fbd_0103.png,How many force arrows are shown in this diagram?,4
fbd_0103_q2,Basic Relational Reasoning,fbd_0103.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0103_q3,Comparative Reasoning,fbd_0103.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0103_q4,Compound Reasoning,fbd_0103.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 60.99, 'required_friction_coefficient': 0.52}"
fbd_0103_q5,Extrapolative/Counterfactual Reasoning,fbd_0103.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0104_q1,Image Description,fbd_0104.png,How many force arrows are shown in this diagram?,2
fbd_0104_q2,Basic Relational Reasoning,fbd_0104.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0104_q3,Comparative Reasoning,fbd_0104.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0104_q4,Compound Reasoning,fbd_0104.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 62.37, 'tension_magnitude': 147.17}"
fbd_0104_q5,Extrapolative/Counterfactual Reasoning,fbd_0104.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0105_q1,Image Description,fbd_0105.png,How many force arrows are shown in this diagram?,4
fbd_0105_q2,Basic Relational Reasoning,fbd_0105.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0105_q3,Comparative Reasoning,fbd_0105.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0105_q4,Compound Reasoning,fbd_0105.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 23.5, 'tension_magnitude': 220.19}"
fbd_0105_q5,Extrapolative/Counterfactual Reasoning,fbd_0105.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0106_q1,Image Description,fbd_0106.png,How many force arrows are shown in this diagram?,4
fbd_0106_q2,Basic Relational Reasoning,fbd_0106.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0106_q3,Comparative Reasoning,fbd_0106.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0106_q4,Compound Reasoning,fbd_0106.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 100.27}"
fbd_0106_q5,Extrapolative/Counterfactual Reasoning,fbd_0106.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (342.3 degrees; 0=right, 90=up)"
fbd_0107_q1,Image Description,fbd_0107.png,How many force arrows are shown in this diagram?,2
fbd_0107_q2,Basic Relational Reasoning,fbd_0107.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0107_q3,Comparative Reasoning,fbd_0107.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0107_q4,Compound Reasoning,fbd_0107.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 19.58, 'support_force_magnitude': 117.09}"
fbd_0107_q5,Extrapolative/Counterfactual Reasoning,fbd_0107.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0108_q1,Image Description,fbd_0108.png,How many force arrows are shown in this diagram?,3
fbd_0108_q2,Basic Relational Reasoning,fbd_0108.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0108_q3,Comparative Reasoning,fbd_0108.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0108_q4,Compound Reasoning,fbd_0108.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 20.05, 'required_friction_coefficient': 0.26}"
fbd_0108_q5,Extrapolative/Counterfactual Reasoning,fbd_0108.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (255.2 degrees; 0=right, 90=up)"
fbd_0109_q1,Image Description,fbd_0109.png,How many force arrows are shown in this diagram?,3
fbd_0109_q2,Basic Relational Reasoning,fbd_0109.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0109_q3,Comparative Reasoning,fbd_0109.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0109_q4,Compound Reasoning,fbd_0109.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_0109_q5,Extrapolative/Counterfactual Reasoning,fbd_0109.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0110_q1,Image Description,fbd_0110.png,How many force arrows are shown in this diagram?,1
fbd_0110_q2,Basic Relational Reasoning,fbd_0110.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0110_q3,Comparative Reasoning,fbd_0110.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0110_q4,Compound Reasoning,fbd_0110.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 205.52}"
fbd_0110_q5,Extrapolative/Counterfactual Reasoning,fbd_0110.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0111_q1,Image Description,fbd_0111.png,How many force arrows are shown in this diagram?,3
fbd_0111_q2,Basic Relational Reasoning,fbd_0111.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0111_q3,Comparative Reasoning,fbd_0111.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0111_q4,Compound Reasoning,fbd_0111.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 188.65}"
fbd_0111_q5,Extrapolative/Counterfactual Reasoning,fbd_0111.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0112_q1,Image Description,fbd_0112.png,How many force arrows are shown in this diagram?,3
fbd_0112_q2,Basic Relational Reasoning,fbd_0112.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0112_q3,Comparative Reasoning,fbd_0112.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0112_q4,Compound Reasoning,fbd_0112.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 0.0}"
fbd_0112_q5,Extrapolative/Counterfactual Reasoning,fbd_0112.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0113_q1,Image Description,fbd_0113.png,How many force arrows are shown in this diagram?,1
fbd_0113_q2,Basic Relational Reasoning,fbd_0113.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0113_q3,Comparative Reasoning,fbd_0113.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0113_q4,Compound Reasoning,fbd_0113.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 63.67}"
fbd_0113_q5,Extrapolative/Counterfactual Reasoning,fbd_0113.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0114_q1,Image Description,fbd_0114.png,How many force arrows are shown in this diagram?,2
fbd_0114_q2,Basic Relational Reasoning,fbd_0114.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0114_q3,Comparative Reasoning,fbd_0114.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0114_q4,Compound Reasoning,fbd_0114.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_0114_q5,Extrapolative/Counterfactual Reasoning,fbd_0114.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_0115_q1,Image Description,fbd_0115.png,How many force arrows are shown in this diagram?,4
fbd_0115_q2,Basic Relational Reasoning,fbd_0115.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0115_q3,Comparative Reasoning,fbd_0115.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0115_q4,Compound Reasoning,fbd_0115.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 118.0, 'magnitude': 176.092684}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 153.0, 'magnitude': 176.092684}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0115_q5,Extrapolative/Counterfactual Reasoning,fbd_0115.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0116_q1,Image Description,fbd_0116.png,How many force arrows are shown in this diagram?,2
fbd_0116_q2,Basic Relational Reasoning,fbd_0116.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0116_q3,Comparative Reasoning,fbd_0116.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0116_q4,Compound Reasoning,fbd_0116.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 187.76, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 187.7634}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 262.86876}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0116_q5,Extrapolative/Counterfactual Reasoning,fbd_0116.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0117_q1,Image Description,fbd_0117.png,How many force arrows are shown in this diagram?,4
fbd_0117_q2,Basic Relational Reasoning,fbd_0117.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0117_q3,Comparative Reasoning,fbd_0117.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0117_q4,Compound Reasoning,fbd_0117.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 96.53, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 96.5304}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 96.5304}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0117_q5,Extrapolative/Counterfactual Reasoning,fbd_0117.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0118_q1,Image Description,fbd_0118.png,How many force arrows are shown in this diagram?,4
fbd_0118_q2,Basic Relational Reasoning,fbd_0118.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0118_q3,Comparative Reasoning,fbd_0118.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0118_q4,Compound Reasoning,fbd_0118.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 247.29}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 346.206}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0118_q5,Extrapolative/Counterfactual Reasoning,fbd_0118.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0119_q1,Image Description,fbd_0119.png,How many force arrows are shown in this diagram?,2
fbd_0119_q2,Basic Relational Reasoning,fbd_0119.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0119_q3,Comparative Reasoning,fbd_0119.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0119_q4,Compound Reasoning,fbd_0119.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 204.24, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 204.2442}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 204.2442}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0119_q5,Extrapolative/Counterfactual Reasoning,fbd_0119.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0120_q1,Image Description,fbd_0120.png,How many force arrows are shown in this diagram?,3
fbd_0120_q2,Basic Relational Reasoning,fbd_0120.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0120_q3,Comparative Reasoning,fbd_0120.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0120_q4,Compound Reasoning,fbd_0120.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 71.0, 'magnitude': 132.08365}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 71.0, 'magnitude': 184.91711}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0120_q5,Extrapolative/Counterfactual Reasoning,fbd_0120.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_0121_q1,Image Description,fbd_0121.png,How many force arrows are shown in this diagram?,4
fbd_0121_q2,Basic Relational Reasoning,fbd_0121.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0121_q3,Comparative Reasoning,fbd_0121.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0121_q4,Compound Reasoning,fbd_0121.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.56}"
fbd_0121_q5,Extrapolative/Counterfactual Reasoning,fbd_0121.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0122_q1,Image Description,fbd_0122.png,How many force arrows are shown in this diagram?,2
fbd_0122_q2,Basic Relational Reasoning,fbd_0122.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0122_q3,Comparative Reasoning,fbd_0122.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0122_q4,Compound Reasoning,fbd_0122.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 138.91}"
fbd_0122_q5,Extrapolative/Counterfactual Reasoning,fbd_0122.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0123_q1,Image Description,fbd_0123.png,How many force arrows are shown in this diagram?,4
fbd_0123_q2,Basic Relational Reasoning,fbd_0123.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0123_q3,Comparative Reasoning,fbd_0123.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0123_q4,Compound Reasoning,fbd_0123.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 67.1}"
fbd_0123_q5,Extrapolative/Counterfactual Reasoning,fbd_0123.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0124_q1,Image Description,fbd_0124.png,How many force arrows are shown in this diagram?,4
fbd_0124_q2,Basic Relational Reasoning,fbd_0124.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0124_q3,Comparative Reasoning,fbd_0124.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0124_q4,Compound Reasoning,fbd_0124.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0}"
fbd_0124_q5,Extrapolative/Counterfactual Reasoning,fbd_0124.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0125_q1,Image Description,fbd_0125.png,How many force arrows are shown in this diagram?,2
fbd_0125_q2,Basic Relational Reasoning,fbd_0125.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0125_q3,Comparative Reasoning,fbd_0125.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0125_q4,Compound Reasoning,fbd_0125.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 200.12}"
fbd_0125_q5,Extrapolative/Counterfactual Reasoning,fbd_0125.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0126_q1,Image Description,fbd_0126.png,How many force arrows are shown in this diagram?,3
fbd_0126_q2,Basic Relational Reasoning,fbd_0126.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0126_q3,Comparative Reasoning,fbd_0126.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0126_q4,Compound Reasoning,fbd_0126.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_0126_q5,Extrapolative/Counterfactual Reasoning,fbd_0126.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_0127_q1,Image Description,fbd_0127.png,How many force arrows are shown in this diagram?,4
fbd_0127_q2,Basic Relational Reasoning,fbd_0127.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0127_q3,Comparative Reasoning,fbd_0127.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0127_q4,Compound Reasoning,fbd_0127.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 21.09, 'required_friction_coefficient': 0.58}"
fbd_0127_q5,Extrapolative/Counterfactual Reasoning,fbd_0127.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0128_q1,Image Description,fbd_0128.png,How many force arrows are shown in this diagram?,2
fbd_0128_q2,Basic Relational Reasoning,fbd_0128.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0128_q3,Comparative Reasoning,fbd_0128.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0128_q4,Compound Reasoning,fbd_0128.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 31.98, 'tension_magnitude': 174.42}"
fbd_0128_q5,Extrapolative/Counterfactual Reasoning,fbd_0128.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0129_q1,Image Description,fbd_0129.png,How many force arrows are shown in this diagram?,4
fbd_0129_q2,Basic Relational Reasoning,fbd_0129.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0129_q3,Comparative Reasoning,fbd_0129.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0129_q4,Compound Reasoning,fbd_0129.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 32.58, 'tension_magnitude': 183.45}"
fbd_0129_q5,Extrapolative/Counterfactual Reasoning,fbd_0129.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0130_q1,Image Description,fbd_0130.png,How many force arrows are shown in this diagram?,4
fbd_0130_q2,Basic Relational Reasoning,fbd_0130.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0130_q3,Comparative Reasoning,fbd_0130.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0130_q4,Compound Reasoning,fbd_0130.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.67, 'net_force_N': 62.92}"
fbd_0130_q5,Extrapolative/Counterfactual Reasoning,fbd_0130.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (343.4 degrees; 0=right, 90=up)"
fbd_0131_q1,Image Description,fbd_0131.png,How many force arrows are shown in this diagram?,2
fbd_0131_q2,Basic Relational Reasoning,fbd_0131.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0131_q3,Comparative Reasoning,fbd_0131.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0131_q4,Compound Reasoning,fbd_0131.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 19.78, 'support_force_magnitude': 88.62}"
fbd_0131_q5,Extrapolative/Counterfactual Reasoning,fbd_0131.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0132_q1,Image Description,fbd_0132.png,How many force arrows are shown in this diagram?,3
fbd_0132_q2,Basic Relational Reasoning,fbd_0132.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0132_q3,Comparative Reasoning,fbd_0132.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0132_q4,Compound Reasoning,fbd_0132.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 22.74, 'required_friction_coefficient': 0.2}"
fbd_0132_q5,Extrapolative/Counterfactual Reasoning,fbd_0132.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (258.4 degrees; 0=right, 90=up)"
fbd_0133_q1,Image Description,fbd_0133.png,How many force arrows are shown in this diagram?,3
fbd_0133_q2,Basic Relational Reasoning,fbd_0133.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0133_q3,Comparative Reasoning,fbd_0133.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0133_q4,Compound Reasoning,fbd_0133.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_0133_q5,Extrapolative/Counterfactual Reasoning,fbd_0133.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0134_q1,Image Description,fbd_0134.png,How many force arrows are shown in this diagram?,1
fbd_0134_q2,Basic Relational Reasoning,fbd_0134.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0134_q3,Comparative Reasoning,fbd_0134.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0134_q4,Compound Reasoning,fbd_0134.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 134.89}"
fbd_0134_q5,Extrapolative/Counterfactual Reasoning,fbd_0134.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0135_q1,Image Description,fbd_0135.png,How many force arrows are shown in this diagram?,3
fbd_0135_q2,Basic Relational Reasoning,fbd_0135.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0135_q3,Comparative Reasoning,fbd_0135.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0135_q4,Compound Reasoning,fbd_0135.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 163.93}"
fbd_0135_q5,Extrapolative/Counterfactual Reasoning,fbd_0135.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0136_q1,Image Description,fbd_0136.png,How many force arrows are shown in this diagram?,3
fbd_0136_q2,Basic Relational Reasoning,fbd_0136.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0136_q3,Comparative Reasoning,fbd_0136.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0136_q4,Compound Reasoning,fbd_0136.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0}"
fbd_0136_q5,Extrapolative/Counterfactual Reasoning,fbd_0136.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0137_q1,Image Description,fbd_0137.png,How many force arrows are shown in this diagram?,1
fbd_0137_q2,Basic Relational Reasoning,fbd_0137.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0137_q3,Comparative Reasoning,fbd_0137.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0137_q4,Compound Reasoning,fbd_0137.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 70.24}"
fbd_0137_q5,Extrapolative/Counterfactual Reasoning,fbd_0137.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0138_q1,Image Description,fbd_0138.png,How many force arrows are shown in this diagram?,2
fbd_0138_q2,Basic Relational Reasoning,fbd_0138.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0138_q3,Comparative Reasoning,fbd_0138.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0138_q4,Compound Reasoning,fbd_0138.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_0138_q5,Extrapolative/Counterfactual Reasoning,fbd_0138.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_0139_q1,Image Description,fbd_0139.png,How many force arrows are shown in this diagram?,4
fbd_0139_q2,Basic Relational Reasoning,fbd_0139.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0139_q3,Comparative Reasoning,fbd_0139.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0139_q4,Compound Reasoning,fbd_0139.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.62, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 126.0, 'magnitude': 47.777469}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 161.0, 'magnitude': 47.777469}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0139_q5,Extrapolative/Counterfactual Reasoning,fbd_0139.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0140_q1,Image Description,fbd_0140.png,How many force arrows are shown in this diagram?,2
fbd_0140_q2,Basic Relational Reasoning,fbd_0140.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0140_q3,Comparative Reasoning,fbd_0140.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0140_q4,Compound Reasoning,fbd_0140.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 180.01, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 180.0135}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 252.0189}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0140_q5,Extrapolative/Counterfactual Reasoning,fbd_0140.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0141_q1,Image Description,fbd_0141.png,How many force arrows are shown in this diagram?,4
fbd_0141_q2,Basic Relational Reasoning,fbd_0141.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0141_q3,Comparative Reasoning,fbd_0141.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0141_q4,Compound Reasoning,fbd_0141.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 140.09, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 140.0868}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 140.0868}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0141_q5,Extrapolative/Counterfactual Reasoning,fbd_0141.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0142_q1,Image Description,fbd_0142.png,How many force arrows are shown in this diagram?,4
fbd_0142_q2,Basic Relational Reasoning,fbd_0142.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0142_q3,Comparative Reasoning,fbd_0142.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0142_q4,Compound Reasoning,fbd_0142.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 259.11}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 362.754}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0142_q5,Extrapolative/Counterfactual Reasoning,fbd_0142.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0143_q1,Image Description,fbd_0143.png,How many force arrows are shown in this diagram?,2
fbd_0143_q2,Basic Relational Reasoning,fbd_0143.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0143_q3,Comparative Reasoning,fbd_0143.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0143_q4,Compound Reasoning,fbd_0143.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 201.11, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 201.105}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 201.105}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0143_q5,Extrapolative/Counterfactual Reasoning,fbd_0143.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0144_q1,Image Description,fbd_0144.png,How many force arrows are shown in this diagram?,3
fbd_0144_q2,Basic Relational Reasoning,fbd_0144.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0144_q3,Comparative Reasoning,fbd_0144.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0144_q4,Compound Reasoning,fbd_0144.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 67.0, 'magnitude': 118.92711}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 67.0, 'magnitude': 166.497954}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0144_q5,Extrapolative/Counterfactual Reasoning,fbd_0144.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_0145_q1,Image Description,fbd_0145.png,How many force arrows are shown in this diagram?,4
fbd_0145_q2,Basic Relational Reasoning,fbd_0145.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0145_q3,Comparative Reasoning,fbd_0145.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0145_q4,Compound Reasoning,fbd_0145.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.66}"
fbd_0145_q5,Extrapolative/Counterfactual Reasoning,fbd_0145.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0146_q1,Image Description,fbd_0146.png,How many force arrows are shown in this diagram?,2
fbd_0146_q2,Basic Relational Reasoning,fbd_0146.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0146_q3,Comparative Reasoning,fbd_0146.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0146_q4,Compound Reasoning,fbd_0146.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 79.76}"
fbd_0146_q5,Extrapolative/Counterfactual Reasoning,fbd_0146.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0147_q1,Image Description,fbd_0147.png,How many force arrows are shown in this diagram?,4
fbd_0147_q2,Basic Relational Reasoning,fbd_0147.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0147_q3,Comparative Reasoning,fbd_0147.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0147_q4,Compound Reasoning,fbd_0147.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 153.82}"
fbd_0147_q5,Extrapolative/Counterfactual Reasoning,fbd_0147.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0148_q1,Image Description,fbd_0148.png,How many force arrows are shown in this diagram?,4
fbd_0148_q2,Basic Relational Reasoning,fbd_0148.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0148_q3,Comparative Reasoning,fbd_0148.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0148_q4,Compound Reasoning,fbd_0148.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 0.0}"
fbd_0148_q5,Extrapolative/Counterfactual Reasoning,fbd_0148.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0149_q1,Image Description,fbd_0149.png,How many force arrows are shown in this diagram?,2
fbd_0149_q2,Basic Relational Reasoning,fbd_0149.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0149_q3,Comparative Reasoning,fbd_0149.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0149_q4,Compound Reasoning,fbd_0149.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 70.04}"
fbd_0149_q5,Extrapolative/Counterfactual Reasoning,fbd_0149.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0150_q1,Image Description,fbd_0150.png,How many force arrows are shown in this diagram?,3
fbd_0150_q2,Basic Relational Reasoning,fbd_0150.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0150_q3,Comparative Reasoning,fbd_0150.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0150_q4,Compound Reasoning,fbd_0150.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_0150_q5,Extrapolative/Counterfactual Reasoning,fbd_0150.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_0151_q1,Image Description,fbd_0151.png,How many force arrows are shown in this diagram?,4
fbd_0151_q2,Basic Relational Reasoning,fbd_0151.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0151_q3,Comparative Reasoning,fbd_0151.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0151_q4,Compound Reasoning,fbd_0151.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 62.98, 'required_friction_coefficient': 0.65}"
fbd_0151_q5,Extrapolative/Counterfactual Reasoning,fbd_0151.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0152_q1,Image Description,fbd_0152.png,How many force arrows are shown in this diagram?,2
fbd_0152_q2,Basic Relational Reasoning,fbd_0152.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0152_q3,Comparative Reasoning,fbd_0152.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0152_q4,Compound Reasoning,fbd_0152.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 40.25, 'tension_magnitude': 172.04}"
fbd_0152_q5,Extrapolative/Counterfactual Reasoning,fbd_0152.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0153_q1,Image Description,fbd_0153.png,How many force arrows are shown in this diagram?,4
fbd_0153_q2,Basic Relational Reasoning,fbd_0153.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0153_q3,Comparative Reasoning,fbd_0153.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0153_q4,Compound Reasoning,fbd_0153.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 16.02, 'tension_magnitude': 230.76}"
fbd_0153_q5,Extrapolative/Counterfactual Reasoning,fbd_0153.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0154_q1,Image Description,fbd_0154.png,How many force arrows are shown in this diagram?,4
fbd_0154_q2,Basic Relational Reasoning,fbd_0154.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0154_q3,Comparative Reasoning,fbd_0154.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0154_q4,Compound Reasoning,fbd_0154.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 41.03}"
fbd_0154_q5,Extrapolative/Counterfactual Reasoning,fbd_0154.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (346.3 degrees; 0=right, 90=up)"
fbd_0155_q1,Image Description,fbd_0155.png,How many force arrows are shown in this diagram?,2
fbd_0155_q2,Basic Relational Reasoning,fbd_0155.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0155_q3,Comparative Reasoning,fbd_0155.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0155_q4,Compound Reasoning,fbd_0155.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 45.41, 'support_force_magnitude': 195.41}"
fbd_0155_q5,Extrapolative/Counterfactual Reasoning,fbd_0155.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0156_q1,Image Description,fbd_0156.png,How many force arrows are shown in this diagram?,3
fbd_0156_q2,Basic Relational Reasoning,fbd_0156.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0156_q3,Comparative Reasoning,fbd_0156.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0156_q4,Compound Reasoning,fbd_0156.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 36.21, 'required_friction_coefficient': 0.27}"
fbd_0156_q5,Extrapolative/Counterfactual Reasoning,fbd_0156.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (255 degrees; 0=right, 90=up)"
fbd_0157_q1,Image Description,fbd_0157.png,How many force arrows are shown in this diagram?,3
fbd_0157_q2,Basic Relational Reasoning,fbd_0157.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0157_q3,Comparative Reasoning,fbd_0157.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0157_q4,Compound Reasoning,fbd_0157.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.48}"
fbd_0157_q5,Extrapolative/Counterfactual Reasoning,fbd_0157.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0158_q1,Image Description,fbd_0158.png,How many force arrows are shown in this diagram?,1
fbd_0158_q2,Basic Relational Reasoning,fbd_0158.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0158_q3,Comparative Reasoning,fbd_0158.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0158_q4,Compound Reasoning,fbd_0158.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 166.28}"
fbd_0158_q5,Extrapolative/Counterfactual Reasoning,fbd_0158.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0159_q1,Image Description,fbd_0159.png,How many force arrows are shown in this diagram?,3
fbd_0159_q2,Basic Relational Reasoning,fbd_0159.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0159_q3,Comparative Reasoning,fbd_0159.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0159_q4,Compound Reasoning,fbd_0159.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 120.76}"
fbd_0159_q5,Extrapolative/Counterfactual Reasoning,fbd_0159.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0160_q1,Image Description,fbd_0160.png,How many force arrows are shown in this diagram?,3
fbd_0160_q2,Basic Relational Reasoning,fbd_0160.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0160_q3,Comparative Reasoning,fbd_0160.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0160_q4,Compound Reasoning,fbd_0160.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.65, 'net_force_N': 0.0}"
fbd_0160_q5,Extrapolative/Counterfactual Reasoning,fbd_0160.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0161_q1,Image Description,fbd_0161.png,How many force arrows are shown in this diagram?,1
fbd_0161_q2,Basic Relational Reasoning,fbd_0161.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0161_q3,Comparative Reasoning,fbd_0161.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0161_q4,Compound Reasoning,fbd_0161.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 140.18}"
fbd_0161_q5,Extrapolative/Counterfactual Reasoning,fbd_0161.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0162_q1,Image Description,fbd_0162.png,How many force arrows are shown in this diagram?,2
fbd_0162_q2,Basic Relational Reasoning,fbd_0162.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0162_q3,Comparative Reasoning,fbd_0162.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0162_q4,Compound Reasoning,fbd_0162.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_0162_q5,Extrapolative/Counterfactual Reasoning,fbd_0162.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_0163_q1,Image Description,fbd_0163.png,How many force arrows are shown in this diagram?,4
fbd_0163_q2,Basic Relational Reasoning,fbd_0163.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0163_q3,Comparative Reasoning,fbd_0163.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0163_q4,Compound Reasoning,fbd_0163.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.52, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 122.0, 'magnitude': 121.961698}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 157.0, 'magnitude': 121.961698}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0163_q5,Extrapolative/Counterfactual Reasoning,fbd_0163.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0164_q1,Image Description,fbd_0164.png,How many force arrows are shown in this diagram?,2
fbd_0164_q2,Basic Relational Reasoning,fbd_0164.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0164_q3,Comparative Reasoning,fbd_0164.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0164_q4,Compound Reasoning,fbd_0164.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 73.87, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 73.8693}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 103.41702}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0164_q5,Extrapolative/Counterfactual Reasoning,fbd_0164.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0165_q1,Image Description,fbd_0165.png,How many force arrows are shown in this diagram?,4
fbd_0165_q2,Basic Relational Reasoning,fbd_0165.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0165_q3,Comparative Reasoning,fbd_0165.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0165_q4,Compound Reasoning,fbd_0165.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 61.51, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 61.5087}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 61.5087}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0165_q5,Extrapolative/Counterfactual Reasoning,fbd_0165.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0166_q1,Image Description,fbd_0166.png,How many force arrows are shown in this diagram?,4
fbd_0166_q2,Basic Relational Reasoning,fbd_0166.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0166_q3,Comparative Reasoning,fbd_0166.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0166_q4,Compound Reasoning,fbd_0166.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 146.18}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 204.652}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0166_q5,Extrapolative/Counterfactual Reasoning,fbd_0166.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0167_q1,Image Description,fbd_0167.png,How many force arrows are shown in this diagram?,2
fbd_0167_q2,Basic Relational Reasoning,fbd_0167.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0167_q3,Comparative Reasoning,fbd_0167.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0167_q4,Compound Reasoning,fbd_0167.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 94.76, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 94.7646}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 94.7646}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0167_q5,Extrapolative/Counterfactual Reasoning,fbd_0167.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0168_q1,Image Description,fbd_0168.png,How many force arrows are shown in this diagram?,3
fbd_0168_q2,Basic Relational Reasoning,fbd_0168.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0168_q3,Comparative Reasoning,fbd_0168.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0168_q4,Compound Reasoning,fbd_0168.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 66.0, 'magnitude': 160.686525}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 66.0, 'magnitude': 224.961135}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0168_q5,Extrapolative/Counterfactual Reasoning,fbd_0168.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (246 degrees; 0=right, 90=up)"
fbd_0169_q1,Image Description,fbd_0169.png,How many force arrows are shown in this diagram?,4
fbd_0169_q2,Basic Relational Reasoning,fbd_0169.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0169_q3,Comparative Reasoning,fbd_0169.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0169_q4,Compound Reasoning,fbd_0169.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.61}"
fbd_0169_q5,Extrapolative/Counterfactual Reasoning,fbd_0169.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0170_q1,Image Description,fbd_0170.png,How many force arrows are shown in this diagram?,2
fbd_0170_q2,Basic Relational Reasoning,fbd_0170.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0170_q3,Comparative Reasoning,fbd_0170.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0170_q4,Compound Reasoning,fbd_0170.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 182.47}"
fbd_0170_q5,Extrapolative/Counterfactual Reasoning,fbd_0170.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0171_q1,Image Description,fbd_0171.png,How many force arrows are shown in this diagram?,4
fbd_0171_q2,Basic Relational Reasoning,fbd_0171.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0171_q3,Comparative Reasoning,fbd_0171.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0171_q4,Compound Reasoning,fbd_0171.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 181.49}"
fbd_0171_q5,Extrapolative/Counterfactual Reasoning,fbd_0171.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0172_q1,Image Description,fbd_0172.png,How many force arrows are shown in this diagram?,4
fbd_0172_q2,Basic Relational Reasoning,fbd_0172.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0172_q3,Comparative Reasoning,fbd_0172.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0172_q4,Compound Reasoning,fbd_0172.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.68, 'net_force_N': 0.0}"
fbd_0172_q5,Extrapolative/Counterfactual Reasoning,fbd_0172.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0173_q1,Image Description,fbd_0173.png,How many force arrows are shown in this diagram?,2
fbd_0173_q2,Basic Relational Reasoning,fbd_0173.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0173_q3,Comparative Reasoning,fbd_0173.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0173_q4,Compound Reasoning,fbd_0173.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 109.77}"
fbd_0173_q5,Extrapolative/Counterfactual Reasoning,fbd_0173.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0174_q1,Image Description,fbd_0174.png,How many force arrows are shown in this diagram?,3
fbd_0174_q2,Basic Relational Reasoning,fbd_0174.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0174_q3,Comparative Reasoning,fbd_0174.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0174_q4,Compound Reasoning,fbd_0174.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_0174_q5,Extrapolative/Counterfactual Reasoning,fbd_0174.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_0175_q1,Image Description,fbd_0175.png,How many force arrows are shown in this diagram?,4
fbd_0175_q2,Basic Relational Reasoning,fbd_0175.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0175_q3,Comparative Reasoning,fbd_0175.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0175_q4,Compound Reasoning,fbd_0175.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 25.53, 'required_friction_coefficient': 0.4}"
fbd_0175_q5,Extrapolative/Counterfactual Reasoning,fbd_0175.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0176_q1,Image Description,fbd_0176.png,How many force arrows are shown in this diagram?,2
fbd_0176_q2,Basic Relational Reasoning,fbd_0176.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0176_q3,Comparative Reasoning,fbd_0176.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0176_q4,Compound Reasoning,fbd_0176.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 17.43, 'tension_magnitude': 46.14}"
fbd_0176_q5,Extrapolative/Counterfactual Reasoning,fbd_0176.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0177_q1,Image Description,fbd_0177.png,How many force arrows are shown in this diagram?,4
fbd_0177_q2,Basic Relational Reasoning,fbd_0177.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0177_q3,Comparative Reasoning,fbd_0177.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0177_q4,Compound Reasoning,fbd_0177.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 27.66, 'tension_magnitude': 238.47}"
fbd_0177_q5,Extrapolative/Counterfactual Reasoning,fbd_0177.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0178_q1,Image Description,fbd_0178.png,How many force arrows are shown in this diagram?,4
fbd_0178_q2,Basic Relational Reasoning,fbd_0178.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0178_q3,Comparative Reasoning,fbd_0178.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0178_q4,Compound Reasoning,fbd_0178.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 52.25}"
fbd_0178_q5,Extrapolative/Counterfactual Reasoning,fbd_0178.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (352.4 degrees; 0=right, 90=up)"
fbd_0179_q1,Image Description,fbd_0179.png,How many force arrows are shown in this diagram?,2
fbd_0179_q2,Basic Relational Reasoning,fbd_0179.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0179_q3,Comparative Reasoning,fbd_0179.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0179_q4,Compound Reasoning,fbd_0179.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 25.52, 'support_force_magnitude': 174.8}"
fbd_0179_q5,Extrapolative/Counterfactual Reasoning,fbd_0179.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0180_q1,Image Description,fbd_0180.png,How many force arrows are shown in this diagram?,3
fbd_0180_q2,Basic Relational Reasoning,fbd_0180.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0180_q3,Comparative Reasoning,fbd_0180.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0180_q4,Compound Reasoning,fbd_0180.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 16.07, 'required_friction_coefficient': 0.27}"
fbd_0180_q5,Extrapolative/Counterfactual Reasoning,fbd_0180.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (255.1 degrees; 0=right, 90=up)"
fbd_0181_q1,Image Description,fbd_0181.png,How many force arrows are shown in this diagram?,3
fbd_0181_q2,Basic Relational Reasoning,fbd_0181.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0181_q3,Comparative Reasoning,fbd_0181.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0181_q4,Compound Reasoning,fbd_0181.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45}"
fbd_0181_q5,Extrapolative/Counterfactual Reasoning,fbd_0181.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0182_q1,Image Description,fbd_0182.png,How many force arrows are shown in this diagram?,1
fbd_0182_q2,Basic Relational Reasoning,fbd_0182.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0182_q3,Comparative Reasoning,fbd_0182.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0182_q4,Compound Reasoning,fbd_0182.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 129.79}"
fbd_0182_q5,Extrapolative/Counterfactual Reasoning,fbd_0182.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0183_q1,Image Description,fbd_0183.png,How many force arrows are shown in this diagram?,3
fbd_0183_q2,Basic Relational Reasoning,fbd_0183.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0183_q3,Comparative Reasoning,fbd_0183.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0183_q4,Compound Reasoning,fbd_0183.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 75.83}"
fbd_0183_q5,Extrapolative/Counterfactual Reasoning,fbd_0183.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0184_q1,Image Description,fbd_0184.png,How many force arrows are shown in this diagram?,3
fbd_0184_q2,Basic Relational Reasoning,fbd_0184.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0184_q3,Comparative Reasoning,fbd_0184.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0184_q4,Compound Reasoning,fbd_0184.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.67, 'net_force_N': 0.0}"
fbd_0184_q5,Extrapolative/Counterfactual Reasoning,fbd_0184.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0185_q1,Image Description,fbd_0185.png,How many force arrows are shown in this diagram?,1
fbd_0185_q2,Basic Relational Reasoning,fbd_0185.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0185_q3,Comparative Reasoning,fbd_0185.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0185_q4,Compound Reasoning,fbd_0185.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 200.12}"
fbd_0185_q5,Extrapolative/Counterfactual Reasoning,fbd_0185.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0186_q1,Image Description,fbd_0186.png,How many force arrows are shown in this diagram?,2
fbd_0186_q2,Basic Relational Reasoning,fbd_0186.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0186_q3,Comparative Reasoning,fbd_0186.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0186_q4,Compound Reasoning,fbd_0186.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_0186_q5,Extrapolative/Counterfactual Reasoning,fbd_0186.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_0187_q1,Image Description,fbd_0187.png,How many force arrows are shown in this diagram?,4
fbd_0187_q2,Basic Relational Reasoning,fbd_0187.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0187_q3,Comparative Reasoning,fbd_0187.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0187_q4,Compound Reasoning,fbd_0187.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.52, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 122.0, 'magnitude': 96.670868}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 157.0, 'magnitude': 96.670868}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0187_q5,Extrapolative/Counterfactual Reasoning,fbd_0187.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0188_q1,Image Description,fbd_0188.png,How many force arrows are shown in this diagram?,2
fbd_0188_q2,Basic Relational Reasoning,fbd_0188.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0188_q3,Comparative Reasoning,fbd_0188.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0188_q4,Compound Reasoning,fbd_0188.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 182.76, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 182.7603}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 255.86442}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0188_q5,Extrapolative/Counterfactual Reasoning,fbd_0188.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0189_q1,Image Description,fbd_0189.png,How many force arrows are shown in this diagram?,4
fbd_0189_q2,Basic Relational Reasoning,fbd_0189.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0189_q3,Comparative Reasoning,fbd_0189.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0189_q4,Compound Reasoning,fbd_0189.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 134.69, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 134.6913}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 134.6913}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0189_q5,Extrapolative/Counterfactual Reasoning,fbd_0189.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0190_q1,Image Description,fbd_0190.png,How many force arrows are shown in this diagram?,4
fbd_0190_q2,Basic Relational Reasoning,fbd_0190.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0190_q3,Comparative Reasoning,fbd_0190.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0190_q4,Compound Reasoning,fbd_0190.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 124.38}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 174.132}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0190_q5,Extrapolative/Counterfactual Reasoning,fbd_0190.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0191_q1,Image Description,fbd_0191.png,How many force arrows are shown in this diagram?,2
fbd_0191_q2,Basic Relational Reasoning,fbd_0191.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0191_q3,Comparative Reasoning,fbd_0191.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0191_q4,Compound Reasoning,fbd_0191.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 178.05, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 178.0515}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 178.0515}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0191_q5,Extrapolative/Counterfactual Reasoning,fbd_0191.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0192_q1,Image Description,fbd_0192.png,How many force arrows are shown in this diagram?,3
fbd_0192_q2,Basic Relational Reasoning,fbd_0192.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0192_q3,Comparative Reasoning,fbd_0192.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0192_q4,Compound Reasoning,fbd_0192.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 70.0, 'magnitude': 110.344064}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 70.0, 'magnitude': 154.48169}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0192_q5,Extrapolative/Counterfactual Reasoning,fbd_0192.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_0193_q1,Image Description,fbd_0193.png,How many force arrows are shown in this diagram?,4
fbd_0193_q2,Basic Relational Reasoning,fbd_0193.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0193_q3,Comparative Reasoning,fbd_0193.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0193_q4,Compound Reasoning,fbd_0193.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.68}"
fbd_0193_q5,Extrapolative/Counterfactual Reasoning,fbd_0193.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0194_q1,Image Description,fbd_0194.png,How many force arrows are shown in this diagram?,2
fbd_0194_q2,Basic Relational Reasoning,fbd_0194.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0194_q3,Comparative Reasoning,fbd_0194.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0194_q4,Compound Reasoning,fbd_0194.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 186.78}"
fbd_0194_q5,Extrapolative/Counterfactual Reasoning,fbd_0194.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0195_q1,Image Description,fbd_0195.png,How many force arrows are shown in this diagram?,4
fbd_0195_q2,Basic Relational Reasoning,fbd_0195.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0195_q3,Comparative Reasoning,fbd_0195.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0195_q4,Compound Reasoning,fbd_0195.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 152.35}"
fbd_0195_q5,Extrapolative/Counterfactual Reasoning,fbd_0195.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0196_q1,Image Description,fbd_0196.png,How many force arrows are shown in this diagram?,4
fbd_0196_q2,Basic Relational Reasoning,fbd_0196.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0196_q3,Comparative Reasoning,fbd_0196.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0196_q4,Compound Reasoning,fbd_0196.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0}"
fbd_0196_q5,Extrapolative/Counterfactual Reasoning,fbd_0196.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0197_q1,Image Description,fbd_0197.png,How many force arrows are shown in this diagram?,2
fbd_0197_q2,Basic Relational Reasoning,fbd_0197.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0197_q3,Comparative Reasoning,fbd_0197.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0197_q4,Compound Reasoning,fbd_0197.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 143.62}"
fbd_0197_q5,Extrapolative/Counterfactual Reasoning,fbd_0197.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0198_q1,Image Description,fbd_0198.png,How many force arrows are shown in this diagram?,3
fbd_0198_q2,Basic Relational Reasoning,fbd_0198.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0198_q3,Comparative Reasoning,fbd_0198.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0198_q4,Compound Reasoning,fbd_0198.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_0198_q5,Extrapolative/Counterfactual Reasoning,fbd_0198.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_0199_q1,Image Description,fbd_0199.png,How many force arrows are shown in this diagram?,4
fbd_0199_q2,Basic Relational Reasoning,fbd_0199.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0199_q3,Comparative Reasoning,fbd_0199.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0199_q4,Compound Reasoning,fbd_0199.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 31.83, 'required_friction_coefficient': 0.5}"
fbd_0199_q5,Extrapolative/Counterfactual Reasoning,fbd_0199.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0200_q1,Image Description,fbd_0200.png,How many force arrows are shown in this diagram?,2
fbd_0200_q2,Basic Relational Reasoning,fbd_0200.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0200_q3,Comparative Reasoning,fbd_0200.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0200_q4,Compound Reasoning,fbd_0200.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 9.76, 'tension_magnitude': 56.26}"
fbd_0200_q5,Extrapolative/Counterfactual Reasoning,fbd_0200.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0201_q1,Image Description,fbd_0201.png,How many force arrows are shown in this diagram?,4
fbd_0201_q2,Basic Relational Reasoning,fbd_0201.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0201_q3,Comparative Reasoning,fbd_0201.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0201_q4,Compound Reasoning,fbd_0201.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 18.86, 'tension_magnitude': 88.21}"
fbd_0201_q5,Extrapolative/Counterfactual Reasoning,fbd_0201.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0202_q1,Image Description,fbd_0202.png,How many force arrows are shown in this diagram?,4
fbd_0202_q2,Basic Relational Reasoning,fbd_0202.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0202_q3,Comparative Reasoning,fbd_0202.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0202_q4,Compound Reasoning,fbd_0202.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 86.72}"
fbd_0202_q5,Extrapolative/Counterfactual Reasoning,fbd_0202.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (344.1 degrees; 0=right, 90=up)"
fbd_0203_q1,Image Description,fbd_0203.png,How many force arrows are shown in this diagram?,2
fbd_0203_q2,Basic Relational Reasoning,fbd_0203.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0203_q3,Comparative Reasoning,fbd_0203.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0203_q4,Compound Reasoning,fbd_0203.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 16.39, 'support_force_magnitude': 89.47}"
fbd_0203_q5,Extrapolative/Counterfactual Reasoning,fbd_0203.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0204_q1,Image Description,fbd_0204.png,How many force arrows are shown in this diagram?,3
fbd_0204_q2,Basic Relational Reasoning,fbd_0204.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0204_q3,Comparative Reasoning,fbd_0204.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0204_q4,Compound Reasoning,fbd_0204.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 22.94, 'required_friction_coefficient': 0.11}"
fbd_0204_q5,Extrapolative/Counterfactual Reasoning,fbd_0204.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (263.7 degrees; 0=right, 90=up)"
fbd_0205_q1,Image Description,fbd_0205.png,How many force arrows are shown in this diagram?,3
fbd_0205_q2,Basic Relational Reasoning,fbd_0205.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0205_q3,Comparative Reasoning,fbd_0205.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0205_q4,Compound Reasoning,fbd_0205.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.66}"
fbd_0205_q5,Extrapolative/Counterfactual Reasoning,fbd_0205.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0206_q1,Image Description,fbd_0206.png,How many force arrows are shown in this diagram?,1
fbd_0206_q2,Basic Relational Reasoning,fbd_0206.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0206_q3,Comparative Reasoning,fbd_0206.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0206_q4,Compound Reasoning,fbd_0206.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 60.23}"
fbd_0206_q5,Extrapolative/Counterfactual Reasoning,fbd_0206.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0207_q1,Image Description,fbd_0207.png,How many force arrows are shown in this diagram?,3
fbd_0207_q2,Basic Relational Reasoning,fbd_0207.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0207_q3,Comparative Reasoning,fbd_0207.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0207_q4,Compound Reasoning,fbd_0207.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 138.32}"
fbd_0207_q5,Extrapolative/Counterfactual Reasoning,fbd_0207.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0208_q1,Image Description,fbd_0208.png,How many force arrows are shown in this diagram?,3
fbd_0208_q2,Basic Relational Reasoning,fbd_0208.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0208_q3,Comparative Reasoning,fbd_0208.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0208_q4,Compound Reasoning,fbd_0208.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0}"
fbd_0208_q5,Extrapolative/Counterfactual Reasoning,fbd_0208.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0209_q1,Image Description,fbd_0209.png,How many force arrows are shown in this diagram?,1
fbd_0209_q2,Basic Relational Reasoning,fbd_0209.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0209_q3,Comparative Reasoning,fbd_0209.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0209_q4,Compound Reasoning,fbd_0209.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 146.27}"
fbd_0209_q5,Extrapolative/Counterfactual Reasoning,fbd_0209.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0210_q1,Image Description,fbd_0210.png,How many force arrows are shown in this diagram?,2
fbd_0210_q2,Basic Relational Reasoning,fbd_0210.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0210_q3,Comparative Reasoning,fbd_0210.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0210_q4,Compound Reasoning,fbd_0210.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_0210_q5,Extrapolative/Counterfactual Reasoning,fbd_0210.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_0211_q1,Image Description,fbd_0211.png,How many force arrows are shown in this diagram?,4
fbd_0211_q2,Basic Relational Reasoning,fbd_0211.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0211_q3,Comparative Reasoning,fbd_0211.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0211_q4,Compound Reasoning,fbd_0211.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.65, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 126.0, 'magnitude': 119.364309}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 161.0, 'magnitude': 119.364309}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0211_q5,Extrapolative/Counterfactual Reasoning,fbd_0211.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0212_q1,Image Description,fbd_0212.png,How many force arrows are shown in this diagram?,2
fbd_0212_q2,Basic Relational Reasoning,fbd_0212.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0212_q3,Comparative Reasoning,fbd_0212.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0212_q4,Compound Reasoning,fbd_0212.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 121.06, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 121.0554}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 169.47756}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0212_q5,Extrapolative/Counterfactual Reasoning,fbd_0212.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0213_q1,Image Description,fbd_0213.png,How many force arrows are shown in this diagram?,4
fbd_0213_q2,Basic Relational Reasoning,fbd_0213.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0213_q3,Comparative Reasoning,fbd_0213.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0213_q4,Compound Reasoning,fbd_0213.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 82.7, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 82.6983}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 82.6983}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0213_q5,Extrapolative/Counterfactual Reasoning,fbd_0213.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0214_q1,Image Description,fbd_0214.png,How many force arrows are shown in this diagram?,4
fbd_0214_q2,Basic Relational Reasoning,fbd_0214.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0214_q3,Comparative Reasoning,fbd_0214.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0214_q4,Compound Reasoning,fbd_0214.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.65, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 216.5}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 303.1}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0214_q5,Extrapolative/Counterfactual Reasoning,fbd_0214.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0215_q1,Image Description,fbd_0215.png,How many force arrows are shown in this diagram?,2
fbd_0215_q2,Basic Relational Reasoning,fbd_0215.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0215_q3,Comparative Reasoning,fbd_0215.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0215_q4,Compound Reasoning,fbd_0215.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 65.73, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 65.727}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 65.727}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0215_q5,Extrapolative/Counterfactual Reasoning,fbd_0215.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0216_q1,Image Description,fbd_0216.png,How many force arrows are shown in this diagram?,3
fbd_0216_q2,Basic Relational Reasoning,fbd_0216.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0216_q3,Comparative Reasoning,fbd_0216.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0216_q4,Compound Reasoning,fbd_0216.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 64.0, 'magnitude': 174.050928}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 64.0, 'magnitude': 243.671299}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0216_q5,Extrapolative/Counterfactual Reasoning,fbd_0216.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_0217_q1,Image Description,fbd_0217.png,How many force arrows are shown in this diagram?,4
fbd_0217_q2,Basic Relational Reasoning,fbd_0217.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0217_q3,Comparative Reasoning,fbd_0217.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0217_q4,Compound Reasoning,fbd_0217.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.48}"
fbd_0217_q5,Extrapolative/Counterfactual Reasoning,fbd_0217.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0218_q1,Image Description,fbd_0218.png,How many force arrows are shown in this diagram?,2
fbd_0218_q2,Basic Relational Reasoning,fbd_0218.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0218_q3,Comparative Reasoning,fbd_0218.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0218_q4,Compound Reasoning,fbd_0218.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 106.05}"
fbd_0218_q5,Extrapolative/Counterfactual Reasoning,fbd_0218.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0219_q1,Image Description,fbd_0219.png,How many force arrows are shown in this diagram?,4
fbd_0219_q2,Basic Relational Reasoning,fbd_0219.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0219_q3,Comparative Reasoning,fbd_0219.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0219_q4,Compound Reasoning,fbd_0219.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 168.44}"
fbd_0219_q5,Extrapolative/Counterfactual Reasoning,fbd_0219.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0220_q1,Image Description,fbd_0220.png,How many force arrows are shown in this diagram?,4
fbd_0220_q2,Basic Relational Reasoning,fbd_0220.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0220_q3,Comparative Reasoning,fbd_0220.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0220_q4,Compound Reasoning,fbd_0220.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.68, 'net_force_N': 0.0}"
fbd_0220_q5,Extrapolative/Counterfactual Reasoning,fbd_0220.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0221_q1,Image Description,fbd_0221.png,How many force arrows are shown in this diagram?,2
fbd_0221_q2,Basic Relational Reasoning,fbd_0221.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0221_q3,Comparative Reasoning,fbd_0221.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0221_q4,Compound Reasoning,fbd_0221.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 97.41}"
fbd_0221_q5,Extrapolative/Counterfactual Reasoning,fbd_0221.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0222_q1,Image Description,fbd_0222.png,How many force arrows are shown in this diagram?,3
fbd_0222_q2,Basic Relational Reasoning,fbd_0222.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0222_q3,Comparative Reasoning,fbd_0222.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0222_q4,Compound Reasoning,fbd_0222.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34}"
fbd_0222_q5,Extrapolative/Counterfactual Reasoning,fbd_0222.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_0223_q1,Image Description,fbd_0223.png,How many force arrows are shown in this diagram?,4
fbd_0223_q2,Basic Relational Reasoning,fbd_0223.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0223_q3,Comparative Reasoning,fbd_0223.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0223_q4,Compound Reasoning,fbd_0223.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 34.26, 'required_friction_coefficient': 0.56}"
fbd_0223_q5,Extrapolative/Counterfactual Reasoning,fbd_0223.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0224_q1,Image Description,fbd_0224.png,How many force arrows are shown in this diagram?,2
fbd_0224_q2,Basic Relational Reasoning,fbd_0224.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0224_q3,Comparative Reasoning,fbd_0224.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0224_q4,Compound Reasoning,fbd_0224.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 9.97, 'tension_magnitude': 58.9}"
fbd_0224_q5,Extrapolative/Counterfactual Reasoning,fbd_0224.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0225_q1,Image Description,fbd_0225.png,How many force arrows are shown in this diagram?,4
fbd_0225_q2,Basic Relational Reasoning,fbd_0225.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0225_q3,Comparative Reasoning,fbd_0225.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0225_q4,Compound Reasoning,fbd_0225.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 20.21, 'tension_magnitude': 188.94}"
fbd_0225_q5,Extrapolative/Counterfactual Reasoning,fbd_0225.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0226_q1,Image Description,fbd_0226.png,How many force arrows are shown in this diagram?,4
fbd_0226_q2,Basic Relational Reasoning,fbd_0226.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0226_q3,Comparative Reasoning,fbd_0226.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0226_q4,Compound Reasoning,fbd_0226.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 53.78}"
fbd_0226_q5,Extrapolative/Counterfactual Reasoning,fbd_0226.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (347.6 degrees; 0=right, 90=up)"
fbd_0227_q1,Image Description,fbd_0227.png,How many force arrows are shown in this diagram?,2
fbd_0227_q2,Basic Relational Reasoning,fbd_0227.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0227_q3,Comparative Reasoning,fbd_0227.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0227_q4,Compound Reasoning,fbd_0227.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 14.36, 'support_force_magnitude': 135.81}"
fbd_0227_q5,Extrapolative/Counterfactual Reasoning,fbd_0227.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0228_q1,Image Description,fbd_0228.png,How many force arrows are shown in this diagram?,3
fbd_0228_q2,Basic Relational Reasoning,fbd_0228.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0228_q3,Comparative Reasoning,fbd_0228.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0228_q4,Compound Reasoning,fbd_0228.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 48.83, 'required_friction_coefficient': 0.24}"
fbd_0228_q5,Extrapolative/Counterfactual Reasoning,fbd_0228.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (256.5 degrees; 0=right, 90=up)"
fbd_0229_q1,Image Description,fbd_0229.png,How many force arrows are shown in this diagram?,3
fbd_0229_q2,Basic Relational Reasoning,fbd_0229.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0229_q3,Comparative Reasoning,fbd_0229.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0229_q4,Compound Reasoning,fbd_0229.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.44}"
fbd_0229_q5,Extrapolative/Counterfactual Reasoning,fbd_0229.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0230_q1,Image Description,fbd_0230.png,How many force arrows are shown in this diagram?,1
fbd_0230_q2,Basic Relational Reasoning,fbd_0230.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0230_q3,Comparative Reasoning,fbd_0230.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0230_q4,Compound Reasoning,fbd_0230.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 169.52}"
fbd_0230_q5,Extrapolative/Counterfactual Reasoning,fbd_0230.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0231_q1,Image Description,fbd_0231.png,How many force arrows are shown in this diagram?,3
fbd_0231_q2,Basic Relational Reasoning,fbd_0231.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0231_q3,Comparative Reasoning,fbd_0231.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0231_q4,Compound Reasoning,fbd_0231.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 192.96}"
fbd_0231_q5,Extrapolative/Counterfactual Reasoning,fbd_0231.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0232_q1,Image Description,fbd_0232.png,How many force arrows are shown in this diagram?,3
fbd_0232_q2,Basic Relational Reasoning,fbd_0232.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0232_q3,Comparative Reasoning,fbd_0232.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0232_q4,Compound Reasoning,fbd_0232.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.68, 'net_force_N': 0.0}"
fbd_0232_q5,Extrapolative/Counterfactual Reasoning,fbd_0232.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0233_q1,Image Description,fbd_0233.png,How many force arrows are shown in this diagram?,1
fbd_0233_q2,Basic Relational Reasoning,fbd_0233.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0233_q3,Comparative Reasoning,fbd_0233.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0233_q4,Compound Reasoning,fbd_0233.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 165.99}"
fbd_0233_q5,Extrapolative/Counterfactual Reasoning,fbd_0233.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0234_q1,Image Description,fbd_0234.png,How many force arrows are shown in this diagram?,2
fbd_0234_q2,Basic Relational Reasoning,fbd_0234.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0234_q3,Comparative Reasoning,fbd_0234.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0234_q4,Compound Reasoning,fbd_0234.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_0234_q5,Extrapolative/Counterfactual Reasoning,fbd_0234.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (241 degrees; 0=right, 90=up)"
fbd_0235_q1,Image Description,fbd_0235.png,How many force arrows are shown in this diagram?,4
fbd_0235_q2,Basic Relational Reasoning,fbd_0235.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0235_q3,Comparative Reasoning,fbd_0235.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0235_q4,Compound Reasoning,fbd_0235.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 123.0, 'magnitude': 95.025988}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 158.0, 'magnitude': 95.025988}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0235_q5,Extrapolative/Counterfactual Reasoning,fbd_0235.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0236_q1,Image Description,fbd_0236.png,How many force arrows are shown in this diagram?,2
fbd_0236_q2,Basic Relational Reasoning,fbd_0236.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0236_q3,Comparative Reasoning,fbd_0236.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0236_q4,Compound Reasoning,fbd_0236.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 164.51, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 164.5137}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 230.31918}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0236_q5,Extrapolative/Counterfactual Reasoning,fbd_0236.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0237_q1,Image Description,fbd_0237.png,How many force arrows are shown in this diagram?,4
fbd_0237_q2,Basic Relational Reasoning,fbd_0237.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0237_q3,Comparative Reasoning,fbd_0237.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0237_q4,Compound Reasoning,fbd_0237.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 156.57, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 156.5676}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 156.5676}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0237_q5,Extrapolative/Counterfactual Reasoning,fbd_0237.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0238_q1,Image Description,fbd_0238.png,How many force arrows are shown in this diagram?,4
fbd_0238_q2,Basic Relational Reasoning,fbd_0238.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0238_q3,Comparative Reasoning,fbd_0238.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0238_q4,Compound Reasoning,fbd_0238.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 257.14}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 359.996}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0238_q5,Extrapolative/Counterfactual Reasoning,fbd_0238.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0239_q1,Image Description,fbd_0239.png,How many force arrows are shown in this diagram?,2
fbd_0239_q2,Basic Relational Reasoning,fbd_0239.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0239_q3,Comparative Reasoning,fbd_0239.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0239_q4,Compound Reasoning,fbd_0239.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 77.5, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 77.499}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 77.499}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0239_q5,Extrapolative/Counterfactual Reasoning,fbd_0239.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0240_q1,Image Description,fbd_0240.png,How many force arrows are shown in this diagram?,3
fbd_0240_q2,Basic Relational Reasoning,fbd_0240.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0240_q3,Comparative Reasoning,fbd_0240.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0240_q4,Compound Reasoning,fbd_0240.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 74.0, 'magnitude': 186.902149}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 74.0, 'magnitude': 261.663009}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0240_q5,Extrapolative/Counterfactual Reasoning,fbd_0240.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_0241_q1,Image Description,fbd_0241.png,How many force arrows are shown in this diagram?,4
fbd_0241_q2,Basic Relational Reasoning,fbd_0241.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0241_q3,Comparative Reasoning,fbd_0241.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0241_q4,Compound Reasoning,fbd_0241.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.69}"
fbd_0241_q5,Extrapolative/Counterfactual Reasoning,fbd_0241.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0242_q1,Image Description,fbd_0242.png,How many force arrows are shown in this diagram?,2
fbd_0242_q2,Basic Relational Reasoning,fbd_0242.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0242_q3,Comparative Reasoning,fbd_0242.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0242_q4,Compound Reasoning,fbd_0242.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 111.54}"
fbd_0242_q5,Extrapolative/Counterfactual Reasoning,fbd_0242.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0243_q1,Image Description,fbd_0243.png,How many force arrows are shown in this diagram?,4
fbd_0243_q2,Basic Relational Reasoning,fbd_0243.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0243_q3,Comparative Reasoning,fbd_0243.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0243_q4,Compound Reasoning,fbd_0243.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 212.39}"
fbd_0243_q5,Extrapolative/Counterfactual Reasoning,fbd_0243.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0244_q1,Image Description,fbd_0244.png,How many force arrows are shown in this diagram?,4
fbd_0244_q2,Basic Relational Reasoning,fbd_0244.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0244_q3,Comparative Reasoning,fbd_0244.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0244_q4,Compound Reasoning,fbd_0244.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0}"
fbd_0244_q5,Extrapolative/Counterfactual Reasoning,fbd_0244.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0245_q1,Image Description,fbd_0245.png,How many force arrows are shown in this diagram?,2
fbd_0245_q2,Basic Relational Reasoning,fbd_0245.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0245_q3,Comparative Reasoning,fbd_0245.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0245_q4,Compound Reasoning,fbd_0245.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 78.58}"
fbd_0245_q5,Extrapolative/Counterfactual Reasoning,fbd_0245.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0246_q1,Image Description,fbd_0246.png,How many force arrows are shown in this diagram?,3
fbd_0246_q2,Basic Relational Reasoning,fbd_0246.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0246_q3,Comparative Reasoning,fbd_0246.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0246_q4,Compound Reasoning,fbd_0246.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45}"
fbd_0246_q5,Extrapolative/Counterfactual Reasoning,fbd_0246.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (246 degrees; 0=right, 90=up)"
fbd_0247_q1,Image Description,fbd_0247.png,How many force arrows are shown in this diagram?,4
fbd_0247_q2,Basic Relational Reasoning,fbd_0247.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0247_q3,Comparative Reasoning,fbd_0247.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0247_q4,Compound Reasoning,fbd_0247.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 31.61, 'required_friction_coefficient': 0.41}"
fbd_0247_q5,Extrapolative/Counterfactual Reasoning,fbd_0247.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0248_q1,Image Description,fbd_0248.png,How many force arrows are shown in this diagram?,2
fbd_0248_q2,Basic Relational Reasoning,fbd_0248.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0248_q3,Comparative Reasoning,fbd_0248.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0248_q4,Compound Reasoning,fbd_0248.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 50.22, 'tension_magnitude': 140.0}"
fbd_0248_q5,Extrapolative/Counterfactual Reasoning,fbd_0248.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0249_q1,Image Description,fbd_0249.png,How many force arrows are shown in this diagram?,4
fbd_0249_q2,Basic Relational Reasoning,fbd_0249.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0249_q3,Comparative Reasoning,fbd_0249.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0249_q4,Compound Reasoning,fbd_0249.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 30.76, 'tension_magnitude': 132.19}"
fbd_0249_q5,Extrapolative/Counterfactual Reasoning,fbd_0249.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0250_q1,Image Description,fbd_0250.png,How many force arrows are shown in this diagram?,4
fbd_0250_q2,Basic Relational Reasoning,fbd_0250.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0250_q3,Comparative Reasoning,fbd_0250.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0250_q4,Compound Reasoning,fbd_0250.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 45.65}"
fbd_0250_q5,Extrapolative/Counterfactual Reasoning,fbd_0250.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (348.4 degrees; 0=right, 90=up)"
fbd_0251_q1,Image Description,fbd_0251.png,How many force arrows are shown in this diagram?,2
fbd_0251_q2,Basic Relational Reasoning,fbd_0251.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0251_q3,Comparative Reasoning,fbd_0251.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0251_q4,Compound Reasoning,fbd_0251.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 32.41, 'support_force_magnitude': 161.11}"
fbd_0251_q5,Extrapolative/Counterfactual Reasoning,fbd_0251.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0252_q1,Image Description,fbd_0252.png,How many force arrows are shown in this diagram?,3
fbd_0252_q2,Basic Relational Reasoning,fbd_0252.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0252_q3,Comparative Reasoning,fbd_0252.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0252_q4,Compound Reasoning,fbd_0252.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 36.32, 'required_friction_coefficient': 0.08}"
fbd_0252_q5,Extrapolative/Counterfactual Reasoning,fbd_0252.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (265.4 degrees; 0=right, 90=up)"
fbd_0253_q1,Image Description,fbd_0253.png,How many force arrows are shown in this diagram?,3
fbd_0253_q2,Basic Relational Reasoning,fbd_0253.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0253_q3,Comparative Reasoning,fbd_0253.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0253_q4,Compound Reasoning,fbd_0253.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53}"
fbd_0253_q5,Extrapolative/Counterfactual Reasoning,fbd_0253.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0254_q1,Image Description,fbd_0254.png,How many force arrows are shown in this diagram?,1
fbd_0254_q2,Basic Relational Reasoning,fbd_0254.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0254_q3,Comparative Reasoning,fbd_0254.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0254_q4,Compound Reasoning,fbd_0254.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 117.72}"
fbd_0254_q5,Extrapolative/Counterfactual Reasoning,fbd_0254.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0255_q1,Image Description,fbd_0255.png,How many force arrows are shown in this diagram?,3
fbd_0255_q2,Basic Relational Reasoning,fbd_0255.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0255_q3,Comparative Reasoning,fbd_0255.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0255_q4,Compound Reasoning,fbd_0255.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 67.49}"
fbd_0255_q5,Extrapolative/Counterfactual Reasoning,fbd_0255.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0256_q1,Image Description,fbd_0256.png,How many force arrows are shown in this diagram?,3
fbd_0256_q2,Basic Relational Reasoning,fbd_0256.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0256_q3,Comparative Reasoning,fbd_0256.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0256_q4,Compound Reasoning,fbd_0256.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 0.0}"
fbd_0256_q5,Extrapolative/Counterfactual Reasoning,fbd_0256.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0257_q1,Image Description,fbd_0257.png,How many force arrows are shown in this diagram?,1
fbd_0257_q2,Basic Relational Reasoning,fbd_0257.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0257_q3,Comparative Reasoning,fbd_0257.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0257_q4,Compound Reasoning,fbd_0257.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 108.6}"
fbd_0257_q5,Extrapolative/Counterfactual Reasoning,fbd_0257.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0258_q1,Image Description,fbd_0258.png,How many force arrows are shown in this diagram?,2
fbd_0258_q2,Basic Relational Reasoning,fbd_0258.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0258_q3,Comparative Reasoning,fbd_0258.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0258_q4,Compound Reasoning,fbd_0258.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_0258_q5,Extrapolative/Counterfactual Reasoning,fbd_0258.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_0259_q1,Image Description,fbd_0259.png,How many force arrows are shown in this diagram?,4
fbd_0259_q2,Basic Relational Reasoning,fbd_0259.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0259_q3,Comparative Reasoning,fbd_0259.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0259_q4,Compound Reasoning,fbd_0259.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.59, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 123.0, 'magnitude': 54.547385}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 158.0, 'magnitude': 54.547385}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0259_q5,Extrapolative/Counterfactual Reasoning,fbd_0259.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0260_q1,Image Description,fbd_0260.png,How many force arrows are shown in this diagram?,2
fbd_0260_q2,Basic Relational Reasoning,fbd_0260.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0260_q3,Comparative Reasoning,fbd_0260.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0260_q4,Compound Reasoning,fbd_0260.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 91.92, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 91.9197}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 128.68758}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0260_q5,Extrapolative/Counterfactual Reasoning,fbd_0260.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0261_q1,Image Description,fbd_0261.png,How many force arrows are shown in this diagram?,4
fbd_0261_q2,Basic Relational Reasoning,fbd_0261.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0261_q3,Comparative Reasoning,fbd_0261.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0261_q4,Compound Reasoning,fbd_0261.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 126.84, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 126.8433}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 126.8433}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0261_q5,Extrapolative/Counterfactual Reasoning,fbd_0261.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0262_q1,Image Description,fbd_0262.png,How many force arrows are shown in this diagram?,4
fbd_0262_q2,Basic Relational Reasoning,fbd_0262.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0262_q3,Comparative Reasoning,fbd_0262.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0262_q4,Compound Reasoning,fbd_0262.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 177.55}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 248.57}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0262_q5,Extrapolative/Counterfactual Reasoning,fbd_0262.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0263_q1,Image Description,fbd_0263.png,How many force arrows are shown in this diagram?,2
fbd_0263_q2,Basic Relational Reasoning,fbd_0263.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0263_q3,Comparative Reasoning,fbd_0263.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0263_q4,Compound Reasoning,fbd_0263.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 175.3, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 175.3047}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 175.3047}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0263_q5,Extrapolative/Counterfactual Reasoning,fbd_0263.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0264_q1,Image Description,fbd_0264.png,How many force arrows are shown in this diagram?,3
fbd_0264_q2,Basic Relational Reasoning,fbd_0264.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0264_q3,Comparative Reasoning,fbd_0264.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0264_q4,Compound Reasoning,fbd_0264.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 64.0, 'magnitude': 140.633855}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 64.0, 'magnitude': 196.887397}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0264_q5,Extrapolative/Counterfactual Reasoning,fbd_0264.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_0265_q1,Image Description,fbd_0265.png,How many force arrows are shown in this diagram?,4
fbd_0265_q2,Basic Relational Reasoning,fbd_0265.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0265_q3,Comparative Reasoning,fbd_0265.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0265_q4,Compound Reasoning,fbd_0265.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.52}"
fbd_0265_q5,Extrapolative/Counterfactual Reasoning,fbd_0265.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0266_q1,Image Description,fbd_0266.png,How many force arrows are shown in this diagram?,2
fbd_0266_q2,Basic Relational Reasoning,fbd_0266.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0266_q3,Comparative Reasoning,fbd_0266.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0266_q4,Compound Reasoning,fbd_0266.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 210.52}"
fbd_0266_q5,Extrapolative/Counterfactual Reasoning,fbd_0266.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0267_q1,Image Description,fbd_0267.png,How many force arrows are shown in this diagram?,4
fbd_0267_q2,Basic Relational Reasoning,fbd_0267.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0267_q3,Comparative Reasoning,fbd_0267.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0267_q4,Compound Reasoning,fbd_0267.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 89.86}"
fbd_0267_q5,Extrapolative/Counterfactual Reasoning,fbd_0267.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0268_q1,Image Description,fbd_0268.png,How many force arrows are shown in this diagram?,4
fbd_0268_q2,Basic Relational Reasoning,fbd_0268.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0268_q3,Comparative Reasoning,fbd_0268.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0268_q4,Compound Reasoning,fbd_0268.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0}"
fbd_0268_q5,Extrapolative/Counterfactual Reasoning,fbd_0268.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0269_q1,Image Description,fbd_0269.png,How many force arrows are shown in this diagram?,2
fbd_0269_q2,Basic Relational Reasoning,fbd_0269.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0269_q3,Comparative Reasoning,fbd_0269.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0269_q4,Compound Reasoning,fbd_0269.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 65.14}"
fbd_0269_q5,Extrapolative/Counterfactual Reasoning,fbd_0269.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0270_q1,Image Description,fbd_0270.png,How many force arrows are shown in this diagram?,3
fbd_0270_q2,Basic Relational Reasoning,fbd_0270.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0270_q3,Comparative Reasoning,fbd_0270.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0270_q4,Compound Reasoning,fbd_0270.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38}"
fbd_0270_q5,Extrapolative/Counterfactual Reasoning,fbd_0270.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_0271_q1,Image Description,fbd_0271.png,How many force arrows are shown in this diagram?,4
fbd_0271_q2,Basic Relational Reasoning,fbd_0271.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0271_q3,Comparative Reasoning,fbd_0271.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0271_q4,Compound Reasoning,fbd_0271.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 47.57, 'required_friction_coefficient': 0.51}"
fbd_0271_q5,Extrapolative/Counterfactual Reasoning,fbd_0271.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0272_q1,Image Description,fbd_0272.png,How many force arrows are shown in this diagram?,2
fbd_0272_q2,Basic Relational Reasoning,fbd_0272.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0272_q3,Comparative Reasoning,fbd_0272.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0272_q4,Compound Reasoning,fbd_0272.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 38.77, 'tension_magnitude': 173.71}"
fbd_0272_q5,Extrapolative/Counterfactual Reasoning,fbd_0272.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0273_q1,Image Description,fbd_0273.png,How many force arrows are shown in this diagram?,4
fbd_0273_q2,Basic Relational Reasoning,fbd_0273.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0273_q3,Comparative Reasoning,fbd_0273.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0273_q4,Compound Reasoning,fbd_0273.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 25.85, 'tension_magnitude': 114.83}"
fbd_0273_q5,Extrapolative/Counterfactual Reasoning,fbd_0273.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0274_q1,Image Description,fbd_0274.png,How many force arrows are shown in this diagram?,4
fbd_0274_q2,Basic Relational Reasoning,fbd_0274.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0274_q3,Comparative Reasoning,fbd_0274.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0274_q4,Compound Reasoning,fbd_0274.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 52.53}"
fbd_0274_q5,Extrapolative/Counterfactual Reasoning,fbd_0274.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (337.5 degrees; 0=right, 90=up)"
fbd_0275_q1,Image Description,fbd_0275.png,How many force arrows are shown in this diagram?,2
fbd_0275_q2,Basic Relational Reasoning,fbd_0275.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0275_q3,Comparative Reasoning,fbd_0275.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0275_q4,Compound Reasoning,fbd_0275.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 38.84, 'support_force_magnitude': 139.21}"
fbd_0275_q5,Extrapolative/Counterfactual Reasoning,fbd_0275.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0276_q1,Image Description,fbd_0276.png,How many force arrows are shown in this diagram?,3
fbd_0276_q2,Basic Relational Reasoning,fbd_0276.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0276_q3,Comparative Reasoning,fbd_0276.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0276_q4,Compound Reasoning,fbd_0276.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 31.87, 'required_friction_coefficient': 0.07}"
fbd_0276_q5,Extrapolative/Counterfactual Reasoning,fbd_0276.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (266.2 degrees; 0=right, 90=up)"
fbd_0277_q1,Image Description,fbd_0277.png,How many force arrows are shown in this diagram?,3
fbd_0277_q2,Basic Relational Reasoning,fbd_0277.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0277_q3,Comparative Reasoning,fbd_0277.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0277_q4,Compound Reasoning,fbd_0277.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.46}"
fbd_0277_q5,Extrapolative/Counterfactual Reasoning,fbd_0277.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0278_q1,Image Description,fbd_0278.png,How many force arrows are shown in this diagram?,1
fbd_0278_q2,Basic Relational Reasoning,fbd_0278.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0278_q3,Comparative Reasoning,fbd_0278.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0278_q4,Compound Reasoning,fbd_0278.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 201.2}"
fbd_0278_q5,Extrapolative/Counterfactual Reasoning,fbd_0278.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0279_q1,Image Description,fbd_0279.png,How many force arrows are shown in this diagram?,3
fbd_0279_q2,Basic Relational Reasoning,fbd_0279.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0279_q3,Comparative Reasoning,fbd_0279.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0279_q4,Compound Reasoning,fbd_0279.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 123.31}"
fbd_0279_q5,Extrapolative/Counterfactual Reasoning,fbd_0279.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0280_q1,Image Description,fbd_0280.png,How many force arrows are shown in this diagram?,3
fbd_0280_q2,Basic Relational Reasoning,fbd_0280.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0280_q3,Comparative Reasoning,fbd_0280.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0280_q4,Compound Reasoning,fbd_0280.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 0.0}"
fbd_0280_q5,Extrapolative/Counterfactual Reasoning,fbd_0280.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0281_q1,Image Description,fbd_0281.png,How many force arrows are shown in this diagram?,1
fbd_0281_q2,Basic Relational Reasoning,fbd_0281.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0281_q3,Comparative Reasoning,fbd_0281.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0281_q4,Compound Reasoning,fbd_0281.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 62.0}"
fbd_0281_q5,Extrapolative/Counterfactual Reasoning,fbd_0281.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0282_q1,Image Description,fbd_0282.png,How many force arrows are shown in this diagram?,2
fbd_0282_q2,Basic Relational Reasoning,fbd_0282.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0282_q3,Comparative Reasoning,fbd_0282.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0282_q4,Compound Reasoning,fbd_0282.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_0282_q5,Extrapolative/Counterfactual Reasoning,fbd_0282.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_0283_q1,Image Description,fbd_0283.png,How many force arrows are shown in this diagram?,4
fbd_0283_q2,Basic Relational Reasoning,fbd_0283.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0283_q3,Comparative Reasoning,fbd_0283.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0283_q4,Compound Reasoning,fbd_0283.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.43, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 117.0, 'magnitude': 153.837622}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 152.0, 'magnitude': 153.837622}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0283_q5,Extrapolative/Counterfactual Reasoning,fbd_0283.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0284_q1,Image Description,fbd_0284.png,How many force arrows are shown in this diagram?,2
fbd_0284_q2,Basic Relational Reasoning,fbd_0284.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0284_q3,Comparative Reasoning,fbd_0284.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0284_q4,Compound Reasoning,fbd_0284.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 64.06, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 64.0593}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 89.68302}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0284_q5,Extrapolative/Counterfactual Reasoning,fbd_0284.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0285_q1,Image Description,fbd_0285.png,How many force arrows are shown in this diagram?,4
fbd_0285_q2,Basic Relational Reasoning,fbd_0285.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0285_q3,Comparative Reasoning,fbd_0285.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0285_q4,Compound Reasoning,fbd_0285.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 149.99, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 149.9949}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 149.9949}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0285_q5,Extrapolative/Counterfactual Reasoning,fbd_0285.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0286_q1,Image Description,fbd_0286.png,How many force arrows are shown in this diagram?,4
fbd_0286_q2,Basic Relational Reasoning,fbd_0286.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0286_q3,Comparative Reasoning,fbd_0286.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0286_q4,Compound Reasoning,fbd_0286.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 207.39}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 290.346}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0286_q5,Extrapolative/Counterfactual Reasoning,fbd_0286.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0287_q1,Image Description,fbd_0287.png,How many force arrows are shown in this diagram?,2
fbd_0287_q2,Basic Relational Reasoning,fbd_0287.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0287_q3,Comparative Reasoning,fbd_0287.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0287_q4,Compound Reasoning,fbd_0287.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 146.17, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 146.169}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 146.169}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0287_q5,Extrapolative/Counterfactual Reasoning,fbd_0287.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0288_q1,Image Description,fbd_0288.png,How many force arrows are shown in this diagram?,3
fbd_0288_q2,Basic Relational Reasoning,fbd_0288.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0288_q3,Comparative Reasoning,fbd_0288.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0288_q4,Compound Reasoning,fbd_0288.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 70.0, 'magnitude': 193.217341}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 70.0, 'magnitude': 270.504277}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0288_q5,Extrapolative/Counterfactual Reasoning,fbd_0288.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_0289_q1,Image Description,fbd_0289.png,How many force arrows are shown in this diagram?,4
fbd_0289_q2,Basic Relational Reasoning,fbd_0289.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0289_q3,Comparative Reasoning,fbd_0289.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0289_q4,Compound Reasoning,fbd_0289.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_0289_q5,Extrapolative/Counterfactual Reasoning,fbd_0289.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0290_q1,Image Description,fbd_0290.png,How many force arrows are shown in this diagram?,2
fbd_0290_q2,Basic Relational Reasoning,fbd_0290.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0290_q3,Comparative Reasoning,fbd_0290.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0290_q4,Compound Reasoning,fbd_0290.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 144.01}"
fbd_0290_q5,Extrapolative/Counterfactual Reasoning,fbd_0290.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0291_q1,Image Description,fbd_0291.png,How many force arrows are shown in this diagram?,4
fbd_0291_q2,Basic Relational Reasoning,fbd_0291.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0291_q3,Comparative Reasoning,fbd_0291.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0291_q4,Compound Reasoning,fbd_0291.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 162.26}"
fbd_0291_q5,Extrapolative/Counterfactual Reasoning,fbd_0291.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0292_q1,Image Description,fbd_0292.png,How many force arrows are shown in this diagram?,4
fbd_0292_q2,Basic Relational Reasoning,fbd_0292.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0292_q3,Comparative Reasoning,fbd_0292.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0292_q4,Compound Reasoning,fbd_0292.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0}"
fbd_0292_q5,Extrapolative/Counterfactual Reasoning,fbd_0292.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0293_q1,Image Description,fbd_0293.png,How many force arrows are shown in this diagram?,2
fbd_0293_q2,Basic Relational Reasoning,fbd_0293.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0293_q3,Comparative Reasoning,fbd_0293.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0293_q4,Compound Reasoning,fbd_0293.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 133.81}"
fbd_0293_q5,Extrapolative/Counterfactual Reasoning,fbd_0293.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0294_q1,Image Description,fbd_0294.png,How many force arrows are shown in this diagram?,3
fbd_0294_q2,Basic Relational Reasoning,fbd_0294.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0294_q3,Comparative Reasoning,fbd_0294.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0294_q4,Compound Reasoning,fbd_0294.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_0294_q5,Extrapolative/Counterfactual Reasoning,fbd_0294.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_0295_q1,Image Description,fbd_0295.png,How many force arrows are shown in this diagram?,4
fbd_0295_q2,Basic Relational Reasoning,fbd_0295.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0295_q3,Comparative Reasoning,fbd_0295.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0295_q4,Compound Reasoning,fbd_0295.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 54.2, 'required_friction_coefficient': 0.47}"
fbd_0295_q5,Extrapolative/Counterfactual Reasoning,fbd_0295.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0296_q1,Image Description,fbd_0296.png,How many force arrows are shown in this diagram?,2
fbd_0296_q2,Basic Relational Reasoning,fbd_0296.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0296_q3,Comparative Reasoning,fbd_0296.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0296_q4,Compound Reasoning,fbd_0296.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 21.8, 'tension_magnitude': 48.54}"
fbd_0296_q5,Extrapolative/Counterfactual Reasoning,fbd_0296.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0297_q1,Image Description,fbd_0297.png,How many force arrows are shown in this diagram?,4
fbd_0297_q2,Basic Relational Reasoning,fbd_0297.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0297_q3,Comparative Reasoning,fbd_0297.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0297_q4,Compound Reasoning,fbd_0297.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 31.43, 'tension_magnitude': 172.79}"
fbd_0297_q5,Extrapolative/Counterfactual Reasoning,fbd_0297.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0298_q1,Image Description,fbd_0298.png,How many force arrows are shown in this diagram?,4
fbd_0298_q2,Basic Relational Reasoning,fbd_0298.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0298_q3,Comparative Reasoning,fbd_0298.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0298_q4,Compound Reasoning,fbd_0298.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 51.33}"
fbd_0298_q5,Extrapolative/Counterfactual Reasoning,fbd_0298.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (341.7 degrees; 0=right, 90=up)"
fbd_0299_q1,Image Description,fbd_0299.png,How many force arrows are shown in this diagram?,2
fbd_0299_q2,Basic Relational Reasoning,fbd_0299.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0299_q3,Comparative Reasoning,fbd_0299.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0299_q4,Compound Reasoning,fbd_0299.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 12.18, 'support_force_magnitude': 103.87}"
fbd_0299_q5,Extrapolative/Counterfactual Reasoning,fbd_0299.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0300_q1,Image Description,fbd_0300.png,How many force arrows are shown in this diagram?,3
fbd_0300_q2,Basic Relational Reasoning,fbd_0300.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0300_q3,Comparative Reasoning,fbd_0300.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0300_q4,Compound Reasoning,fbd_0300.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 34.91, 'required_friction_coefficient': 0.14}"
fbd_0300_q5,Extrapolative/Counterfactual Reasoning,fbd_0300.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (261.9 degrees; 0=right, 90=up)"
fbd_0301_q1,Image Description,fbd_0301.png,How many force arrows are shown in this diagram?,3
fbd_0301_q2,Basic Relational Reasoning,fbd_0301.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0301_q3,Comparative Reasoning,fbd_0301.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0301_q4,Compound Reasoning,fbd_0301.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.62}"
fbd_0301_q5,Extrapolative/Counterfactual Reasoning,fbd_0301.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0302_q1,Image Description,fbd_0302.png,How many force arrows are shown in this diagram?,1
fbd_0302_q2,Basic Relational Reasoning,fbd_0302.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0302_q3,Comparative Reasoning,fbd_0302.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0302_q4,Compound Reasoning,fbd_0302.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 210.33}"
fbd_0302_q5,Extrapolative/Counterfactual Reasoning,fbd_0302.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0303_q1,Image Description,fbd_0303.png,How many force arrows are shown in this diagram?,3
fbd_0303_q2,Basic Relational Reasoning,fbd_0303.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0303_q3,Comparative Reasoning,fbd_0303.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0303_q4,Compound Reasoning,fbd_0303.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 63.86}"
fbd_0303_q5,Extrapolative/Counterfactual Reasoning,fbd_0303.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0304_q1,Image Description,fbd_0304.png,How many force arrows are shown in this diagram?,3
fbd_0304_q2,Basic Relational Reasoning,fbd_0304.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0304_q3,Comparative Reasoning,fbd_0304.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0304_q4,Compound Reasoning,fbd_0304.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 0.0}"
fbd_0304_q5,Extrapolative/Counterfactual Reasoning,fbd_0304.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0305_q1,Image Description,fbd_0305.png,How many force arrows are shown in this diagram?,1
fbd_0305_q2,Basic Relational Reasoning,fbd_0305.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0305_q3,Comparative Reasoning,fbd_0305.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0305_q4,Compound Reasoning,fbd_0305.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 87.51}"
fbd_0305_q5,Extrapolative/Counterfactual Reasoning,fbd_0305.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0306_q1,Image Description,fbd_0306.png,How many force arrows are shown in this diagram?,2
fbd_0306_q2,Basic Relational Reasoning,fbd_0306.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0306_q3,Comparative Reasoning,fbd_0306.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0306_q4,Compound Reasoning,fbd_0306.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45}"
fbd_0306_q5,Extrapolative/Counterfactual Reasoning,fbd_0306.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (246 degrees; 0=right, 90=up)"
fbd_0307_q1,Image Description,fbd_0307.png,How many force arrows are shown in this diagram?,4
fbd_0307_q2,Basic Relational Reasoning,fbd_0307.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0307_q3,Comparative Reasoning,fbd_0307.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0307_q4,Compound Reasoning,fbd_0307.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 119.0, 'magnitude': 138.996313}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 154.0, 'magnitude': 138.996313}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0307_q5,Extrapolative/Counterfactual Reasoning,fbd_0307.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0308_q1,Image Description,fbd_0308.png,How many force arrows are shown in this diagram?,2
fbd_0308_q2,Basic Relational Reasoning,fbd_0308.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0308_q3,Comparative Reasoning,fbd_0308.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0308_q4,Compound Reasoning,fbd_0308.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 88.29, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 88.29}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 123.606}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0308_q5,Extrapolative/Counterfactual Reasoning,fbd_0308.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0309_q1,Image Description,fbd_0309.png,How many force arrows are shown in this diagram?,4
fbd_0309_q2,Basic Relational Reasoning,fbd_0309.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0309_q3,Comparative Reasoning,fbd_0309.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0309_q4,Compound Reasoning,fbd_0309.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 68.87, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 68.8662}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 68.8662}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0309_q5,Extrapolative/Counterfactual Reasoning,fbd_0309.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0310_q1,Image Description,fbd_0310.png,How many force arrows are shown in this diagram?,4
fbd_0310_q2,Basic Relational Reasoning,fbd_0310.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0310_q3,Comparative Reasoning,fbd_0310.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0310_q4,Compound Reasoning,fbd_0310.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 211.38}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 295.932}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0310_q5,Extrapolative/Counterfactual Reasoning,fbd_0310.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0311_q1,Image Description,fbd_0311.png,How many force arrows are shown in this diagram?,2
fbd_0311_q2,Basic Relational Reasoning,fbd_0311.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0311_q3,Comparative Reasoning,fbd_0311.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0311_q4,Compound Reasoning,fbd_0311.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 187.67, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 187.6653}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 187.6653}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0311_q5,Extrapolative/Counterfactual Reasoning,fbd_0311.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0312_q1,Image Description,fbd_0312.png,How many force arrows are shown in this diagram?,3
fbd_0312_q2,Basic Relational Reasoning,fbd_0312.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0312_q3,Comparative Reasoning,fbd_0312.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0312_q4,Compound Reasoning,fbd_0312.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 64.0, 'magnitude': 144.689753}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 64.0, 'magnitude': 202.565654}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0312_q5,Extrapolative/Counterfactual Reasoning,fbd_0312.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_0313_q1,Image Description,fbd_0313.png,How many force arrows are shown in this diagram?,4
fbd_0313_q2,Basic Relational Reasoning,fbd_0313.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0313_q3,Comparative Reasoning,fbd_0313.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0313_q4,Compound Reasoning,fbd_0313.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.61}"
fbd_0313_q5,Extrapolative/Counterfactual Reasoning,fbd_0313.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0314_q1,Image Description,fbd_0314.png,How many force arrows are shown in this diagram?,2
fbd_0314_q2,Basic Relational Reasoning,fbd_0314.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0314_q3,Comparative Reasoning,fbd_0314.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0314_q4,Compound Reasoning,fbd_0314.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 89.66}"
fbd_0314_q5,Extrapolative/Counterfactual Reasoning,fbd_0314.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0315_q1,Image Description,fbd_0315.png,How many force arrows are shown in this diagram?,4
fbd_0315_q2,Basic Relational Reasoning,fbd_0315.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0315_q3,Comparative Reasoning,fbd_0315.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0315_q4,Compound Reasoning,fbd_0315.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 123.21}"
fbd_0315_q5,Extrapolative/Counterfactual Reasoning,fbd_0315.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0316_q1,Image Description,fbd_0316.png,How many force arrows are shown in this diagram?,4
fbd_0316_q2,Basic Relational Reasoning,fbd_0316.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0316_q3,Comparative Reasoning,fbd_0316.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0316_q4,Compound Reasoning,fbd_0316.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 0.0}"
fbd_0316_q5,Extrapolative/Counterfactual Reasoning,fbd_0316.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0317_q1,Image Description,fbd_0317.png,How many force arrows are shown in this diagram?,2
fbd_0317_q2,Basic Relational Reasoning,fbd_0317.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0317_q3,Comparative Reasoning,fbd_0317.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0317_q4,Compound Reasoning,fbd_0317.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 131.45}"
fbd_0317_q5,Extrapolative/Counterfactual Reasoning,fbd_0317.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0318_q1,Image Description,fbd_0318.png,How many force arrows are shown in this diagram?,3
fbd_0318_q2,Basic Relational Reasoning,fbd_0318.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0318_q3,Comparative Reasoning,fbd_0318.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0318_q4,Compound Reasoning,fbd_0318.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29}"
fbd_0318_q5,Extrapolative/Counterfactual Reasoning,fbd_0318.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_0319_q1,Image Description,fbd_0319.png,How many force arrows are shown in this diagram?,4
fbd_0319_q2,Basic Relational Reasoning,fbd_0319.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0319_q3,Comparative Reasoning,fbd_0319.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0319_q4,Compound Reasoning,fbd_0319.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 18.67, 'required_friction_coefficient': 0.39}"
fbd_0319_q5,Extrapolative/Counterfactual Reasoning,fbd_0319.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0320_q1,Image Description,fbd_0320.png,How many force arrows are shown in this diagram?,2
fbd_0320_q2,Basic Relational Reasoning,fbd_0320.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0320_q3,Comparative Reasoning,fbd_0320.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0320_q4,Compound Reasoning,fbd_0320.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 31.25, 'tension_magnitude': 97.56}"
fbd_0320_q5,Extrapolative/Counterfactual Reasoning,fbd_0320.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0321_q1,Image Description,fbd_0321.png,How many force arrows are shown in this diagram?,4
fbd_0321_q2,Basic Relational Reasoning,fbd_0321.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0321_q3,Comparative Reasoning,fbd_0321.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0321_q4,Compound Reasoning,fbd_0321.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 16.04, 'tension_magnitude': 118.16}"
fbd_0321_q5,Extrapolative/Counterfactual Reasoning,fbd_0321.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0322_q1,Image Description,fbd_0322.png,How many force arrows are shown in this diagram?,4
fbd_0322_q2,Basic Relational Reasoning,fbd_0322.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0322_q3,Comparative Reasoning,fbd_0322.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0322_q4,Compound Reasoning,fbd_0322.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 88.89}"
fbd_0322_q5,Extrapolative/Counterfactual Reasoning,fbd_0322.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (345.8 degrees; 0=right, 90=up)"
fbd_0323_q1,Image Description,fbd_0323.png,How many force arrows are shown in this diagram?,2
fbd_0323_q2,Basic Relational Reasoning,fbd_0323.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0323_q3,Comparative Reasoning,fbd_0323.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0323_q4,Compound Reasoning,fbd_0323.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 22.52, 'support_force_magnitude': 151.41}"
fbd_0323_q5,Extrapolative/Counterfactual Reasoning,fbd_0323.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0324_q1,Image Description,fbd_0324.png,How many force arrows are shown in this diagram?,3
fbd_0324_q2,Basic Relational Reasoning,fbd_0324.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0324_q3,Comparative Reasoning,fbd_0324.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0324_q4,Compound Reasoning,fbd_0324.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 39.41, 'required_friction_coefficient': 0.22}"
fbd_0324_q5,Extrapolative/Counterfactual Reasoning,fbd_0324.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (257.6 degrees; 0=right, 90=up)"
fbd_0325_q1,Image Description,fbd_0325.png,How many force arrows are shown in this diagram?,3
fbd_0325_q2,Basic Relational Reasoning,fbd_0325.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0325_q3,Comparative Reasoning,fbd_0325.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0325_q4,Compound Reasoning,fbd_0325.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.44}"
fbd_0325_q5,Extrapolative/Counterfactual Reasoning,fbd_0325.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0326_q1,Image Description,fbd_0326.png,How many force arrows are shown in this diagram?,1
fbd_0326_q2,Basic Relational Reasoning,fbd_0326.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0326_q3,Comparative Reasoning,fbd_0326.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0326_q4,Compound Reasoning,fbd_0326.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 75.24}"
fbd_0326_q5,Extrapolative/Counterfactual Reasoning,fbd_0326.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0327_q1,Image Description,fbd_0327.png,How many force arrows are shown in this diagram?,3
fbd_0327_q2,Basic Relational Reasoning,fbd_0327.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0327_q3,Comparative Reasoning,fbd_0327.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0327_q4,Compound Reasoning,fbd_0327.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 194.34}"
fbd_0327_q5,Extrapolative/Counterfactual Reasoning,fbd_0327.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0328_q1,Image Description,fbd_0328.png,How many force arrows are shown in this diagram?,3
fbd_0328_q2,Basic Relational Reasoning,fbd_0328.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0328_q3,Comparative Reasoning,fbd_0328.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0328_q4,Compound Reasoning,fbd_0328.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0}"
fbd_0328_q5,Extrapolative/Counterfactual Reasoning,fbd_0328.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0329_q1,Image Description,fbd_0329.png,How many force arrows are shown in this diagram?,1
fbd_0329_q2,Basic Relational Reasoning,fbd_0329.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0329_q3,Comparative Reasoning,fbd_0329.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0329_q4,Compound Reasoning,fbd_0329.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 189.14}"
fbd_0329_q5,Extrapolative/Counterfactual Reasoning,fbd_0329.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0330_q1,Image Description,fbd_0330.png,How many force arrows are shown in this diagram?,2
fbd_0330_q2,Basic Relational Reasoning,fbd_0330.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0330_q3,Comparative Reasoning,fbd_0330.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0330_q4,Compound Reasoning,fbd_0330.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_0330_q5,Extrapolative/Counterfactual Reasoning,fbd_0330.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_0331_q1,Image Description,fbd_0331.png,How many force arrows are shown in this diagram?,4
fbd_0331_q2,Basic Relational Reasoning,fbd_0331.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0331_q3,Comparative Reasoning,fbd_0331.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0331_q4,Compound Reasoning,fbd_0331.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.48, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 120.0, 'magnitude': 164.561887}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 155.0, 'magnitude': 164.561887}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0331_q5,Extrapolative/Counterfactual Reasoning,fbd_0331.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0332_q1,Image Description,fbd_0332.png,How many force arrows are shown in this diagram?,2
fbd_0332_q2,Basic Relational Reasoning,fbd_0332.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0332_q3,Comparative Reasoning,fbd_0332.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0332_q4,Compound Reasoning,fbd_0332.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 97.9, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 97.9038}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 137.06532}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0332_q5,Extrapolative/Counterfactual Reasoning,fbd_0332.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0333_q1,Image Description,fbd_0333.png,How many force arrows are shown in this diagram?,4
fbd_0333_q2,Basic Relational Reasoning,fbd_0333.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0333_q3,Comparative Reasoning,fbd_0333.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0333_q4,Compound Reasoning,fbd_0333.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 145.97, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 145.9728}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 145.9728}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0333_q5,Extrapolative/Counterfactual Reasoning,fbd_0333.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0334_q1,Image Description,fbd_0334.png,How many force arrows are shown in this diagram?,4
fbd_0334_q2,Basic Relational Reasoning,fbd_0334.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0334_q3,Comparative Reasoning,fbd_0334.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0334_q4,Compound Reasoning,fbd_0334.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 337.72}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 472.808}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0334_q5,Extrapolative/Counterfactual Reasoning,fbd_0334.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0335_q1,Image Description,fbd_0335.png,How many force arrows are shown in this diagram?,2
fbd_0335_q2,Basic Relational Reasoning,fbd_0335.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0335_q3,Comparative Reasoning,fbd_0335.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0335_q4,Compound Reasoning,fbd_0335.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 81.52, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 81.5211}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 81.5211}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0335_q5,Extrapolative/Counterfactual Reasoning,fbd_0335.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0336_q1,Image Description,fbd_0336.png,How many force arrows are shown in this diagram?,3
fbd_0336_q2,Basic Relational Reasoning,fbd_0336.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0336_q3,Comparative Reasoning,fbd_0336.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0336_q4,Compound Reasoning,fbd_0336.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 63.0, 'magnitude': 53.318721}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 63.0, 'magnitude': 74.646209}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0336_q5,Extrapolative/Counterfactual Reasoning,fbd_0336.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_0337_q1,Image Description,fbd_0337.png,How many force arrows are shown in this diagram?,4
fbd_0337_q2,Basic Relational Reasoning,fbd_0337.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0337_q3,Comparative Reasoning,fbd_0337.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0337_q4,Compound Reasoning,fbd_0337.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.68}"
fbd_0337_q5,Extrapolative/Counterfactual Reasoning,fbd_0337.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0338_q1,Image Description,fbd_0338.png,How many force arrows are shown in this diagram?,2
fbd_0338_q2,Basic Relational Reasoning,fbd_0338.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0338_q3,Comparative Reasoning,fbd_0338.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0338_q4,Compound Reasoning,fbd_0338.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 76.03}"
fbd_0338_q5,Extrapolative/Counterfactual Reasoning,fbd_0338.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0339_q1,Image Description,fbd_0339.png,How many force arrows are shown in this diagram?,4
fbd_0339_q2,Basic Relational Reasoning,fbd_0339.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0339_q3,Comparative Reasoning,fbd_0339.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0339_q4,Compound Reasoning,fbd_0339.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 81.03}"
fbd_0339_q5,Extrapolative/Counterfactual Reasoning,fbd_0339.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0340_q1,Image Description,fbd_0340.png,How many force arrows are shown in this diagram?,4
fbd_0340_q2,Basic Relational Reasoning,fbd_0340.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0340_q3,Comparative Reasoning,fbd_0340.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0340_q4,Compound Reasoning,fbd_0340.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 0.0}"
fbd_0340_q5,Extrapolative/Counterfactual Reasoning,fbd_0340.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0341_q1,Image Description,fbd_0341.png,How many force arrows are shown in this diagram?,2
fbd_0341_q2,Basic Relational Reasoning,fbd_0341.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0341_q3,Comparative Reasoning,fbd_0341.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0341_q4,Compound Reasoning,fbd_0341.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 150.29}"
fbd_0341_q5,Extrapolative/Counterfactual Reasoning,fbd_0341.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0342_q1,Image Description,fbd_0342.png,How many force arrows are shown in this diagram?,3
fbd_0342_q2,Basic Relational Reasoning,fbd_0342.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0342_q3,Comparative Reasoning,fbd_0342.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0342_q4,Compound Reasoning,fbd_0342.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_0342_q5,Extrapolative/Counterfactual Reasoning,fbd_0342.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_0343_q1,Image Description,fbd_0343.png,How many force arrows are shown in this diagram?,4
fbd_0343_q2,Basic Relational Reasoning,fbd_0343.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0343_q3,Comparative Reasoning,fbd_0343.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['A'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0343_q4,Compound Reasoning,fbd_0343.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 36.41, 'required_friction_coefficient': 0.62}"
fbd_0343_q5,Extrapolative/Counterfactual Reasoning,fbd_0343.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0344_q1,Image Description,fbd_0344.png,How many force arrows are shown in this diagram?,2
fbd_0344_q2,Basic Relational Reasoning,fbd_0344.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0344_q3,Comparative Reasoning,fbd_0344.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0344_q4,Compound Reasoning,fbd_0344.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 14.78, 'tension_magnitude': 103.13}"
fbd_0344_q5,Extrapolative/Counterfactual Reasoning,fbd_0344.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0345_q1,Image Description,fbd_0345.png,How many force arrows are shown in this diagram?,4
fbd_0345_q2,Basic Relational Reasoning,fbd_0345.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0345_q3,Comparative Reasoning,fbd_0345.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0345_q4,Compound Reasoning,fbd_0345.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 13.77, 'tension_magnitude': 193.59}"
fbd_0345_q5,Extrapolative/Counterfactual Reasoning,fbd_0345.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0346_q1,Image Description,fbd_0346.png,How many force arrows are shown in this diagram?,4
fbd_0346_q2,Basic Relational Reasoning,fbd_0346.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0346_q3,Comparative Reasoning,fbd_0346.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0346_q4,Compound Reasoning,fbd_0346.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 45.9}"
fbd_0346_q5,Extrapolative/Counterfactual Reasoning,fbd_0346.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (349.5 degrees; 0=right, 90=up)"
fbd_0347_q1,Image Description,fbd_0347.png,How many force arrows are shown in this diagram?,2
fbd_0347_q2,Basic Relational Reasoning,fbd_0347.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0347_q3,Comparative Reasoning,fbd_0347.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0347_q4,Compound Reasoning,fbd_0347.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 28.88, 'support_force_magnitude': 142.68}"
fbd_0347_q5,Extrapolative/Counterfactual Reasoning,fbd_0347.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0348_q1,Image Description,fbd_0348.png,How many force arrows are shown in this diagram?,3
fbd_0348_q2,Basic Relational Reasoning,fbd_0348.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0348_q3,Comparative Reasoning,fbd_0348.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0348_q4,Compound Reasoning,fbd_0348.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 37.1, 'required_friction_coefficient': 0.31}"
fbd_0348_q5,Extrapolative/Counterfactual Reasoning,fbd_0348.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252.7 degrees; 0=right, 90=up)"
fbd_0349_q1,Image Description,fbd_0349.png,How many force arrows are shown in this diagram?,3
fbd_0349_q2,Basic Relational Reasoning,fbd_0349.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0349_q3,Comparative Reasoning,fbd_0349.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0349_q4,Compound Reasoning,fbd_0349.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.54}"
fbd_0349_q5,Extrapolative/Counterfactual Reasoning,fbd_0349.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0350_q1,Image Description,fbd_0350.png,How many force arrows are shown in this diagram?,1
fbd_0350_q2,Basic Relational Reasoning,fbd_0350.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0350_q3,Comparative Reasoning,fbd_0350.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0350_q4,Compound Reasoning,fbd_0350.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 198.55}"
fbd_0350_q5,Extrapolative/Counterfactual Reasoning,fbd_0350.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0351_q1,Image Description,fbd_0351.png,How many force arrows are shown in this diagram?,3
fbd_0351_q2,Basic Relational Reasoning,fbd_0351.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0351_q3,Comparative Reasoning,fbd_0351.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0351_q4,Compound Reasoning,fbd_0351.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 193.55}"
fbd_0351_q5,Extrapolative/Counterfactual Reasoning,fbd_0351.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0352_q1,Image Description,fbd_0352.png,How many force arrows are shown in this diagram?,3
fbd_0352_q2,Basic Relational Reasoning,fbd_0352.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0352_q3,Comparative Reasoning,fbd_0352.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0352_q4,Compound Reasoning,fbd_0352.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.7, 'net_force_N': 0.0}"
fbd_0352_q5,Extrapolative/Counterfactual Reasoning,fbd_0352.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0353_q1,Image Description,fbd_0353.png,How many force arrows are shown in this diagram?,1
fbd_0353_q2,Basic Relational Reasoning,fbd_0353.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0353_q3,Comparative Reasoning,fbd_0353.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0353_q4,Compound Reasoning,fbd_0353.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 74.16}"
fbd_0353_q5,Extrapolative/Counterfactual Reasoning,fbd_0353.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0354_q1,Image Description,fbd_0354.png,How many force arrows are shown in this diagram?,2
fbd_0354_q2,Basic Relational Reasoning,fbd_0354.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0354_q3,Comparative Reasoning,fbd_0354.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0354_q4,Compound Reasoning,fbd_0354.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_0354_q5,Extrapolative/Counterfactual Reasoning,fbd_0354.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_0355_q1,Image Description,fbd_0355.png,How many force arrows are shown in this diagram?,4
fbd_0355_q2,Basic Relational Reasoning,fbd_0355.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0355_q3,Comparative Reasoning,fbd_0355.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0355_q4,Compound Reasoning,fbd_0355.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.59, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 124.0, 'magnitude': 69.535941}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 159.0, 'magnitude': 69.535941}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0355_q5,Extrapolative/Counterfactual Reasoning,fbd_0355.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0356_q1,Image Description,fbd_0356.png,How many force arrows are shown in this diagram?,2
fbd_0356_q2,Basic Relational Reasoning,fbd_0356.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0356_q3,Comparative Reasoning,fbd_0356.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0356_q4,Compound Reasoning,fbd_0356.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 160.88, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 160.884}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 225.2376}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0356_q5,Extrapolative/Counterfactual Reasoning,fbd_0356.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0357_q1,Image Description,fbd_0357.png,How many force arrows are shown in this diagram?,4
fbd_0357_q2,Basic Relational Reasoning,fbd_0357.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0357_q3,Comparative Reasoning,fbd_0357.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0357_q4,Compound Reasoning,fbd_0357.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 87.7, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 87.7014}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 87.7014}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0357_q5,Extrapolative/Counterfactual Reasoning,fbd_0357.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0358_q1,Image Description,fbd_0358.png,How many force arrows are shown in this diagram?,4
fbd_0358_q2,Basic Relational Reasoning,fbd_0358.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0358_q3,Comparative Reasoning,fbd_0358.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0358_q4,Compound Reasoning,fbd_0358.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.67, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 265.15}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 371.21}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0358_q5,Extrapolative/Counterfactual Reasoning,fbd_0358.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0359_q1,Image Description,fbd_0359.png,How many force arrows are shown in this diagram?,2
fbd_0359_q2,Basic Relational Reasoning,fbd_0359.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0359_q3,Comparative Reasoning,fbd_0359.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0359_q4,Compound Reasoning,fbd_0359.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 73.48, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 73.4769}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 73.4769}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0359_q5,Extrapolative/Counterfactual Reasoning,fbd_0359.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0360_q1,Image Description,fbd_0360.png,How many force arrows are shown in this diagram?,3
fbd_0360_q2,Basic Relational Reasoning,fbd_0360.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0360_q3,Comparative Reasoning,fbd_0360.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0360_q4,Compound Reasoning,fbd_0360.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 70.0, 'magnitude': 191.004929}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 70.0, 'magnitude': 267.406901}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0360_q5,Extrapolative/Counterfactual Reasoning,fbd_0360.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_0361_q1,Image Description,fbd_0361.png,How many force arrows are shown in this diagram?,4
fbd_0361_q2,Basic Relational Reasoning,fbd_0361.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0361_q3,Comparative Reasoning,fbd_0361.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0361_q4,Compound Reasoning,fbd_0361.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.43}"
fbd_0361_q5,Extrapolative/Counterfactual Reasoning,fbd_0361.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0362_q1,Image Description,fbd_0362.png,How many force arrows are shown in this diagram?,2
fbd_0362_q2,Basic Relational Reasoning,fbd_0362.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0362_q3,Comparative Reasoning,fbd_0362.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0362_q4,Compound Reasoning,fbd_0362.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 179.33}"
fbd_0362_q5,Extrapolative/Counterfactual Reasoning,fbd_0362.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0363_q1,Image Description,fbd_0363.png,How many force arrows are shown in this diagram?,4
fbd_0363_q2,Basic Relational Reasoning,fbd_0363.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0363_q3,Comparative Reasoning,fbd_0363.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0363_q4,Compound Reasoning,fbd_0363.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 181.39}"
fbd_0363_q5,Extrapolative/Counterfactual Reasoning,fbd_0363.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0364_q1,Image Description,fbd_0364.png,How many force arrows are shown in this diagram?,4
fbd_0364_q2,Basic Relational Reasoning,fbd_0364.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0364_q3,Comparative Reasoning,fbd_0364.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0364_q4,Compound Reasoning,fbd_0364.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 0.0}"
fbd_0364_q5,Extrapolative/Counterfactual Reasoning,fbd_0364.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0365_q1,Image Description,fbd_0365.png,How many force arrows are shown in this diagram?,2
fbd_0365_q2,Basic Relational Reasoning,fbd_0365.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0365_q3,Comparative Reasoning,fbd_0365.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0365_q4,Compound Reasoning,fbd_0365.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 165.1}"
fbd_0365_q5,Extrapolative/Counterfactual Reasoning,fbd_0365.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0366_q1,Image Description,fbd_0366.png,How many force arrows are shown in this diagram?,3
fbd_0366_q2,Basic Relational Reasoning,fbd_0366.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0366_q3,Comparative Reasoning,fbd_0366.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0366_q4,Compound Reasoning,fbd_0366.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_0366_q5,Extrapolative/Counterfactual Reasoning,fbd_0366.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_0367_q1,Image Description,fbd_0367.png,How many force arrows are shown in this diagram?,4
fbd_0367_q2,Basic Relational Reasoning,fbd_0367.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0367_q3,Comparative Reasoning,fbd_0367.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0367_q4,Compound Reasoning,fbd_0367.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 21.8, 'required_friction_coefficient': 0.55}"
fbd_0367_q5,Extrapolative/Counterfactual Reasoning,fbd_0367.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0368_q1,Image Description,fbd_0368.png,How many force arrows are shown in this diagram?,2
fbd_0368_q2,Basic Relational Reasoning,fbd_0368.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0368_q3,Comparative Reasoning,fbd_0368.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0368_q4,Compound Reasoning,fbd_0368.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 45.67, 'tension_magnitude': 150.83}"
fbd_0368_q5,Extrapolative/Counterfactual Reasoning,fbd_0368.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0369_q1,Image Description,fbd_0369.png,How many force arrows are shown in this diagram?,4
fbd_0369_q2,Basic Relational Reasoning,fbd_0369.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0369_q3,Comparative Reasoning,fbd_0369.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0369_q4,Compound Reasoning,fbd_0369.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 38.38, 'tension_magnitude': 218.1}"
fbd_0369_q5,Extrapolative/Counterfactual Reasoning,fbd_0369.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0370_q1,Image Description,fbd_0370.png,How many force arrows are shown in this diagram?,4
fbd_0370_q2,Basic Relational Reasoning,fbd_0370.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0370_q3,Comparative Reasoning,fbd_0370.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0370_q4,Compound Reasoning,fbd_0370.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 25.42}"
fbd_0370_q5,Extrapolative/Counterfactual Reasoning,fbd_0370.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (349.8 degrees; 0=right, 90=up)"
fbd_0371_q1,Image Description,fbd_0371.png,How many force arrows are shown in this diagram?,2
fbd_0371_q2,Basic Relational Reasoning,fbd_0371.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0371_q3,Comparative Reasoning,fbd_0371.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0371_q4,Compound Reasoning,fbd_0371.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 19.97, 'support_force_magnitude': 127.58}"
fbd_0371_q5,Extrapolative/Counterfactual Reasoning,fbd_0371.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0372_q1,Image Description,fbd_0372.png,How many force arrows are shown in this diagram?,3
fbd_0372_q2,Basic Relational Reasoning,fbd_0372.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0372_q3,Comparative Reasoning,fbd_0372.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0372_q4,Compound Reasoning,fbd_0372.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 14.99, 'required_friction_coefficient': 0.33}"
fbd_0372_q5,Extrapolative/Counterfactual Reasoning,fbd_0372.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_0373_q1,Image Description,fbd_0373.png,How many force arrows are shown in this diagram?,3
fbd_0373_q2,Basic Relational Reasoning,fbd_0373.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0373_q3,Comparative Reasoning,fbd_0373.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0373_q4,Compound Reasoning,fbd_0373.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.59}"
fbd_0373_q5,Extrapolative/Counterfactual Reasoning,fbd_0373.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0374_q1,Image Description,fbd_0374.png,How many force arrows are shown in this diagram?,1
fbd_0374_q2,Basic Relational Reasoning,fbd_0374.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0374_q3,Comparative Reasoning,fbd_0374.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0374_q4,Compound Reasoning,fbd_0374.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 110.95}"
fbd_0374_q5,Extrapolative/Counterfactual Reasoning,fbd_0374.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0375_q1,Image Description,fbd_0375.png,How many force arrows are shown in this diagram?,3
fbd_0375_q2,Basic Relational Reasoning,fbd_0375.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0375_q3,Comparative Reasoning,fbd_0375.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0375_q4,Compound Reasoning,fbd_0375.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 95.55}"
fbd_0375_q5,Extrapolative/Counterfactual Reasoning,fbd_0375.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0376_q1,Image Description,fbd_0376.png,How many force arrows are shown in this diagram?,3
fbd_0376_q2,Basic Relational Reasoning,fbd_0376.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0376_q3,Comparative Reasoning,fbd_0376.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0376_q4,Compound Reasoning,fbd_0376.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0}"
fbd_0376_q5,Extrapolative/Counterfactual Reasoning,fbd_0376.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0377_q1,Image Description,fbd_0377.png,How many force arrows are shown in this diagram?,1
fbd_0377_q2,Basic Relational Reasoning,fbd_0377.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0377_q3,Comparative Reasoning,fbd_0377.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0377_q4,Compound Reasoning,fbd_0377.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 96.63}"
fbd_0377_q5,Extrapolative/Counterfactual Reasoning,fbd_0377.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0378_q1,Image Description,fbd_0378.png,How many force arrows are shown in this diagram?,2
fbd_0378_q2,Basic Relational Reasoning,fbd_0378.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0378_q3,Comparative Reasoning,fbd_0378.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0378_q4,Compound Reasoning,fbd_0378.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_0378_q5,Extrapolative/Counterfactual Reasoning,fbd_0378.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_0379_q1,Image Description,fbd_0379.png,How many force arrows are shown in this diagram?,4
fbd_0379_q2,Basic Relational Reasoning,fbd_0379.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0379_q3,Comparative Reasoning,fbd_0379.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0379_q4,Compound Reasoning,fbd_0379.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.56, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 123.0, 'magnitude': 53.477829}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 158.0, 'magnitude': 53.477829}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0379_q5,Extrapolative/Counterfactual Reasoning,fbd_0379.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0380_q1,Image Description,fbd_0380.png,How many force arrows are shown in this diagram?,2
fbd_0380_q2,Basic Relational Reasoning,fbd_0380.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0380_q3,Comparative Reasoning,fbd_0380.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0380_q4,Compound Reasoning,fbd_0380.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 203.56, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 203.5575}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 284.9805}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0380_q5,Extrapolative/Counterfactual Reasoning,fbd_0380.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0381_q1,Image Description,fbd_0381.png,How many force arrows are shown in this diagram?,4
fbd_0381_q2,Basic Relational Reasoning,fbd_0381.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0381_q3,Comparative Reasoning,fbd_0381.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0381_q4,Compound Reasoning,fbd_0381.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 134.1, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 134.1027}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 134.1027}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0381_q5,Extrapolative/Counterfactual Reasoning,fbd_0381.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0382_q1,Image Description,fbd_0382.png,How many force arrows are shown in this diagram?,4
fbd_0382_q2,Basic Relational Reasoning,fbd_0382.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0382_q3,Comparative Reasoning,fbd_0382.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0382_q4,Compound Reasoning,fbd_0382.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.7, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 96.66}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 135.324}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0382_q5,Extrapolative/Counterfactual Reasoning,fbd_0382.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0383_q1,Image Description,fbd_0383.png,How many force arrows are shown in this diagram?,2
fbd_0383_q2,Basic Relational Reasoning,fbd_0383.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0383_q3,Comparative Reasoning,fbd_0383.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0383_q4,Compound Reasoning,fbd_0383.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 139.89, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 139.8906}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 139.8906}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0383_q5,Extrapolative/Counterfactual Reasoning,fbd_0383.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0384_q1,Image Description,fbd_0384.png,How many force arrows are shown in this diagram?,3
fbd_0384_q2,Basic Relational Reasoning,fbd_0384.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0384_q3,Comparative Reasoning,fbd_0384.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0384_q4,Compound Reasoning,fbd_0384.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 68.0, 'magnitude': 148.350437}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 68.0, 'magnitude': 207.690612}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0384_q5,Extrapolative/Counterfactual Reasoning,fbd_0384.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_0385_q1,Image Description,fbd_0385.png,How many force arrows are shown in this diagram?,4
fbd_0385_q2,Basic Relational Reasoning,fbd_0385.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0385_q3,Comparative Reasoning,fbd_0385.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0385_q4,Compound Reasoning,fbd_0385.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.68}"
fbd_0385_q5,Extrapolative/Counterfactual Reasoning,fbd_0385.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0386_q1,Image Description,fbd_0386.png,How many force arrows are shown in this diagram?,2
fbd_0386_q2,Basic Relational Reasoning,fbd_0386.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0386_q3,Comparative Reasoning,fbd_0386.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0386_q4,Compound Reasoning,fbd_0386.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 156.47}"
fbd_0386_q5,Extrapolative/Counterfactual Reasoning,fbd_0386.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0387_q1,Image Description,fbd_0387.png,How many force arrows are shown in this diagram?,4
fbd_0387_q2,Basic Relational Reasoning,fbd_0387.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0387_q3,Comparative Reasoning,fbd_0387.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0387_q4,Compound Reasoning,fbd_0387.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 127.92}"
fbd_0387_q5,Extrapolative/Counterfactual Reasoning,fbd_0387.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0388_q1,Image Description,fbd_0388.png,How many force arrows are shown in this diagram?,4
fbd_0388_q2,Basic Relational Reasoning,fbd_0388.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0388_q3,Comparative Reasoning,fbd_0388.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0388_q4,Compound Reasoning,fbd_0388.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 0.0}"
fbd_0388_q5,Extrapolative/Counterfactual Reasoning,fbd_0388.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0389_q1,Image Description,fbd_0389.png,How many force arrows are shown in this diagram?,2
fbd_0389_q2,Basic Relational Reasoning,fbd_0389.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0389_q3,Comparative Reasoning,fbd_0389.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0389_q4,Compound Reasoning,fbd_0389.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 163.83}"
fbd_0389_q5,Extrapolative/Counterfactual Reasoning,fbd_0389.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0390_q1,Image Description,fbd_0390.png,How many force arrows are shown in this diagram?,3
fbd_0390_q2,Basic Relational Reasoning,fbd_0390.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0390_q3,Comparative Reasoning,fbd_0390.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0390_q4,Compound Reasoning,fbd_0390.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_0390_q5,Extrapolative/Counterfactual Reasoning,fbd_0390.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_0391_q1,Image Description,fbd_0391.png,How many force arrows are shown in this diagram?,4
fbd_0391_q2,Basic Relational Reasoning,fbd_0391.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0391_q3,Comparative Reasoning,fbd_0391.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0391_q4,Compound Reasoning,fbd_0391.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 49.54, 'required_friction_coefficient': 0.62}"
fbd_0391_q5,Extrapolative/Counterfactual Reasoning,fbd_0391.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0392_q1,Image Description,fbd_0392.png,How many force arrows are shown in this diagram?,2
fbd_0392_q2,Basic Relational Reasoning,fbd_0392.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0392_q3,Comparative Reasoning,fbd_0392.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0392_q4,Compound Reasoning,fbd_0392.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 31.68, 'tension_magnitude': 123.71}"
fbd_0392_q5,Extrapolative/Counterfactual Reasoning,fbd_0392.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0393_q1,Image Description,fbd_0393.png,How many force arrows are shown in this diagram?,4
fbd_0393_q2,Basic Relational Reasoning,fbd_0393.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0393_q3,Comparative Reasoning,fbd_0393.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0393_q4,Compound Reasoning,fbd_0393.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 17.46, 'tension_magnitude': 134.98}"
fbd_0393_q5,Extrapolative/Counterfactual Reasoning,fbd_0393.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0394_q1,Image Description,fbd_0394.png,How many force arrows are shown in this diagram?,4
fbd_0394_q2,Basic Relational Reasoning,fbd_0394.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0394_q3,Comparative Reasoning,fbd_0394.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0394_q4,Compound Reasoning,fbd_0394.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.67, 'net_force_N': 98.58}"
fbd_0394_q5,Extrapolative/Counterfactual Reasoning,fbd_0394.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (342.7 degrees; 0=right, 90=up)"
fbd_0395_q1,Image Description,fbd_0395.png,How many force arrows are shown in this diagram?,2
fbd_0395_q2,Basic Relational Reasoning,fbd_0395.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0395_q3,Comparative Reasoning,fbd_0395.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0395_q4,Compound Reasoning,fbd_0395.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 34.36, 'support_force_magnitude': 82.67}"
fbd_0395_q5,Extrapolative/Counterfactual Reasoning,fbd_0395.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0396_q1,Image Description,fbd_0396.png,How many force arrows are shown in this diagram?,3
fbd_0396_q2,Basic Relational Reasoning,fbd_0396.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0396_q3,Comparative Reasoning,fbd_0396.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0396_q4,Compound Reasoning,fbd_0396.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 17.73, 'required_friction_coefficient': 0.2}"
fbd_0396_q5,Extrapolative/Counterfactual Reasoning,fbd_0396.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (258.9 degrees; 0=right, 90=up)"
fbd_0397_q1,Image Description,fbd_0397.png,How many force arrows are shown in this diagram?,3
fbd_0397_q2,Basic Relational Reasoning,fbd_0397.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0397_q3,Comparative Reasoning,fbd_0397.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0397_q4,Compound Reasoning,fbd_0397.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53}"
fbd_0397_q5,Extrapolative/Counterfactual Reasoning,fbd_0397.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0398_q1,Image Description,fbd_0398.png,How many force arrows are shown in this diagram?,1
fbd_0398_q2,Basic Relational Reasoning,fbd_0398.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0398_q3,Comparative Reasoning,fbd_0398.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0398_q4,Compound Reasoning,fbd_0398.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 204.93}"
fbd_0398_q5,Extrapolative/Counterfactual Reasoning,fbd_0398.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0399_q1,Image Description,fbd_0399.png,How many force arrows are shown in this diagram?,3
fbd_0399_q2,Basic Relational Reasoning,fbd_0399.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0399_q3,Comparative Reasoning,fbd_0399.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0399_q4,Compound Reasoning,fbd_0399.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 64.35}"
fbd_0399_q5,Extrapolative/Counterfactual Reasoning,fbd_0399.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0400_q1,Image Description,fbd_0400.png,How many force arrows are shown in this diagram?,3
fbd_0400_q2,Basic Relational Reasoning,fbd_0400.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0400_q3,Comparative Reasoning,fbd_0400.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0400_q4,Compound Reasoning,fbd_0400.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.67, 'net_force_N': 0.0}"
fbd_0400_q5,Extrapolative/Counterfactual Reasoning,fbd_0400.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0401_q1,Image Description,fbd_0401.png,How many force arrows are shown in this diagram?,1
fbd_0401_q2,Basic Relational Reasoning,fbd_0401.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0401_q3,Comparative Reasoning,fbd_0401.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0401_q4,Compound Reasoning,fbd_0401.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 136.95}"
fbd_0401_q5,Extrapolative/Counterfactual Reasoning,fbd_0401.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0402_q1,Image Description,fbd_0402.png,How many force arrows are shown in this diagram?,2
fbd_0402_q2,Basic Relational Reasoning,fbd_0402.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0402_q3,Comparative Reasoning,fbd_0402.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0402_q4,Compound Reasoning,fbd_0402.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_0402_q5,Extrapolative/Counterfactual Reasoning,fbd_0402.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_0403_q1,Image Description,fbd_0403.png,How many force arrows are shown in this diagram?,4
fbd_0403_q2,Basic Relational Reasoning,fbd_0403.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0403_q3,Comparative Reasoning,fbd_0403.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0403_q4,Compound Reasoning,fbd_0403.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 120.0, 'magnitude': 84.872135}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 155.0, 'magnitude': 84.872135}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0403_q5,Extrapolative/Counterfactual Reasoning,fbd_0403.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0404_q1,Image Description,fbd_0404.png,How many force arrows are shown in this diagram?,2
fbd_0404_q2,Basic Relational Reasoning,fbd_0404.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0404_q3,Comparative Reasoning,fbd_0404.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0404_q4,Compound Reasoning,fbd_0404.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 72.59, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 72.594}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 101.6316}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0404_q5,Extrapolative/Counterfactual Reasoning,fbd_0404.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0405_q1,Image Description,fbd_0405.png,How many force arrows are shown in this diagram?,4
fbd_0405_q2,Basic Relational Reasoning,fbd_0405.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0405_q3,Comparative Reasoning,fbd_0405.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0405_q4,Compound Reasoning,fbd_0405.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 65.73, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 65.727}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 65.727}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0405_q5,Extrapolative/Counterfactual Reasoning,fbd_0405.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0406_q1,Image Description,fbd_0406.png,How many force arrows are shown in this diagram?,4
fbd_0406_q2,Basic Relational Reasoning,fbd_0406.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0406_q3,Comparative Reasoning,fbd_0406.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0406_q4,Compound Reasoning,fbd_0406.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 197.38}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 276.332}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0406_q5,Extrapolative/Counterfactual Reasoning,fbd_0406.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0407_q1,Image Description,fbd_0407.png,How many force arrows are shown in this diagram?,2
fbd_0407_q2,Basic Relational Reasoning,fbd_0407.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0407_q3,Comparative Reasoning,fbd_0407.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0407_q4,Compound Reasoning,fbd_0407.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 162.16, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 162.1593}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 162.1593}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0407_q5,Extrapolative/Counterfactual Reasoning,fbd_0407.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0408_q1,Image Description,fbd_0408.png,How many force arrows are shown in this diagram?,3
fbd_0408_q2,Basic Relational Reasoning,fbd_0408.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0408_q3,Comparative Reasoning,fbd_0408.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0408_q4,Compound Reasoning,fbd_0408.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 67.0, 'magnitude': 169.495965}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 67.0, 'magnitude': 237.294351}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0408_q5,Extrapolative/Counterfactual Reasoning,fbd_0408.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_0409_q1,Image Description,fbd_0409.png,How many force arrows are shown in this diagram?,4
fbd_0409_q2,Basic Relational Reasoning,fbd_0409.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0409_q3,Comparative Reasoning,fbd_0409.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0409_q4,Compound Reasoning,fbd_0409.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.57}"
fbd_0409_q5,Extrapolative/Counterfactual Reasoning,fbd_0409.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0410_q1,Image Description,fbd_0410.png,How many force arrows are shown in this diagram?,2
fbd_0410_q2,Basic Relational Reasoning,fbd_0410.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0410_q3,Comparative Reasoning,fbd_0410.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0410_q4,Compound Reasoning,fbd_0410.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 81.91}"
fbd_0410_q5,Extrapolative/Counterfactual Reasoning,fbd_0410.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0411_q1,Image Description,fbd_0411.png,How many force arrows are shown in this diagram?,4
fbd_0411_q2,Basic Relational Reasoning,fbd_0411.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0411_q3,Comparative Reasoning,fbd_0411.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0411_q4,Compound Reasoning,fbd_0411.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 92.8}"
fbd_0411_q5,Extrapolative/Counterfactual Reasoning,fbd_0411.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0412_q1,Image Description,fbd_0412.png,How many force arrows are shown in this diagram?,4
fbd_0412_q2,Basic Relational Reasoning,fbd_0412.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0412_q3,Comparative Reasoning,fbd_0412.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0412_q4,Compound Reasoning,fbd_0412.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0}"
fbd_0412_q5,Extrapolative/Counterfactual Reasoning,fbd_0412.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0413_q1,Image Description,fbd_0413.png,How many force arrows are shown in this diagram?,2
fbd_0413_q2,Basic Relational Reasoning,fbd_0413.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0413_q3,Comparative Reasoning,fbd_0413.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0413_q4,Compound Reasoning,fbd_0413.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 187.76}"
fbd_0413_q5,Extrapolative/Counterfactual Reasoning,fbd_0413.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0414_q1,Image Description,fbd_0414.png,How many force arrows are shown in this diagram?,3
fbd_0414_q2,Basic Relational Reasoning,fbd_0414.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0414_q3,Comparative Reasoning,fbd_0414.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0414_q4,Compound Reasoning,fbd_0414.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38}"
fbd_0414_q5,Extrapolative/Counterfactual Reasoning,fbd_0414.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_0415_q1,Image Description,fbd_0415.png,How many force arrows are shown in this diagram?,4
fbd_0415_q2,Basic Relational Reasoning,fbd_0415.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0415_q3,Comparative Reasoning,fbd_0415.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0415_q4,Compound Reasoning,fbd_0415.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 54.16, 'required_friction_coefficient': 0.45}"
fbd_0415_q5,Extrapolative/Counterfactual Reasoning,fbd_0415.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0416_q1,Image Description,fbd_0416.png,How many force arrows are shown in this diagram?,2
fbd_0416_q2,Basic Relational Reasoning,fbd_0416.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0416_q3,Comparative Reasoning,fbd_0416.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0416_q4,Compound Reasoning,fbd_0416.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 10.26, 'tension_magnitude': 88.43}"
fbd_0416_q5,Extrapolative/Counterfactual Reasoning,fbd_0416.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0417_q1,Image Description,fbd_0417.png,How many force arrows are shown in this diagram?,4
fbd_0417_q2,Basic Relational Reasoning,fbd_0417.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0417_q3,Comparative Reasoning,fbd_0417.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0417_q4,Compound Reasoning,fbd_0417.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 35.02, 'tension_magnitude': 240.05}"
fbd_0417_q5,Extrapolative/Counterfactual Reasoning,fbd_0417.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0418_q1,Image Description,fbd_0418.png,How many force arrows are shown in this diagram?,4
fbd_0418_q2,Basic Relational Reasoning,fbd_0418.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0418_q3,Comparative Reasoning,fbd_0418.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0418_q4,Compound Reasoning,fbd_0418.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 71.14}"
fbd_0418_q5,Extrapolative/Counterfactual Reasoning,fbd_0418.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (335.3 degrees; 0=right, 90=up)"
fbd_0419_q1,Image Description,fbd_0419.png,How many force arrows are shown in this diagram?,2
fbd_0419_q2,Basic Relational Reasoning,fbd_0419.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0419_q3,Comparative Reasoning,fbd_0419.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0419_q4,Compound Reasoning,fbd_0419.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 20.15, 'support_force_magnitude': 136.71}"
fbd_0419_q5,Extrapolative/Counterfactual Reasoning,fbd_0419.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0420_q1,Image Description,fbd_0420.png,How many force arrows are shown in this diagram?,3
fbd_0420_q2,Basic Relational Reasoning,fbd_0420.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0420_q3,Comparative Reasoning,fbd_0420.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0420_q4,Compound Reasoning,fbd_0420.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 13.63, 'required_friction_coefficient': 0.28}"
fbd_0420_q5,Extrapolative/Counterfactual Reasoning,fbd_0420.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254.2 degrees; 0=right, 90=up)"
fbd_0421_q1,Image Description,fbd_0421.png,How many force arrows are shown in this diagram?,3
fbd_0421_q2,Basic Relational Reasoning,fbd_0421.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0421_q3,Comparative Reasoning,fbd_0421.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0421_q4,Compound Reasoning,fbd_0421.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.6}"
fbd_0421_q5,Extrapolative/Counterfactual Reasoning,fbd_0421.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0422_q1,Image Description,fbd_0422.png,How many force arrows are shown in this diagram?,1
fbd_0422_q2,Basic Relational Reasoning,fbd_0422.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0422_q3,Comparative Reasoning,fbd_0422.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0422_q4,Compound Reasoning,fbd_0422.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 119.49}"
fbd_0422_q5,Extrapolative/Counterfactual Reasoning,fbd_0422.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0423_q1,Image Description,fbd_0423.png,How many force arrows are shown in this diagram?,3
fbd_0423_q2,Basic Relational Reasoning,fbd_0423.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0423_q3,Comparative Reasoning,fbd_0423.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0423_q4,Compound Reasoning,fbd_0423.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 109.58}"
fbd_0423_q5,Extrapolative/Counterfactual Reasoning,fbd_0423.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0424_q1,Image Description,fbd_0424.png,How many force arrows are shown in this diagram?,3
fbd_0424_q2,Basic Relational Reasoning,fbd_0424.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0424_q3,Comparative Reasoning,fbd_0424.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0424_q4,Compound Reasoning,fbd_0424.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0}"
fbd_0424_q5,Extrapolative/Counterfactual Reasoning,fbd_0424.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0425_q1,Image Description,fbd_0425.png,How many force arrows are shown in this diagram?,1
fbd_0425_q2,Basic Relational Reasoning,fbd_0425.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0425_q3,Comparative Reasoning,fbd_0425.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0425_q4,Compound Reasoning,fbd_0425.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 124.59}"
fbd_0425_q5,Extrapolative/Counterfactual Reasoning,fbd_0425.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0426_q1,Image Description,fbd_0426.png,How many force arrows are shown in this diagram?,2
fbd_0426_q2,Basic Relational Reasoning,fbd_0426.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0426_q3,Comparative Reasoning,fbd_0426.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0426_q4,Compound Reasoning,fbd_0426.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_0426_q5,Extrapolative/Counterfactual Reasoning,fbd_0426.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_0427_q1,Image Description,fbd_0427.png,How many force arrows are shown in this diagram?,4
fbd_0427_q2,Basic Relational Reasoning,fbd_0427.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0427_q3,Comparative Reasoning,fbd_0427.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0427_q4,Compound Reasoning,fbd_0427.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.68, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 128.0, 'magnitude': 66.635923}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 163.0, 'magnitude': 66.635923}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0427_q5,Extrapolative/Counterfactual Reasoning,fbd_0427.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0428_q1,Image Description,fbd_0428.png,How many force arrows are shown in this diagram?,2
fbd_0428_q2,Basic Relational Reasoning,fbd_0428.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0428_q3,Comparative Reasoning,fbd_0428.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0428_q4,Compound Reasoning,fbd_0428.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 98.88, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 98.8848}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 138.43872}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0428_q5,Extrapolative/Counterfactual Reasoning,fbd_0428.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0429_q1,Image Description,fbd_0429.png,How many force arrows are shown in this diagram?,4
fbd_0429_q2,Basic Relational Reasoning,fbd_0429.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0429_q3,Comparative Reasoning,fbd_0429.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0429_q4,Compound Reasoning,fbd_0429.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 152.15, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 152.1531}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 152.1531}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0429_q5,Extrapolative/Counterfactual Reasoning,fbd_0429.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0430_q1,Image Description,fbd_0430.png,How many force arrows are shown in this diagram?,4
fbd_0430_q2,Basic Relational Reasoning,fbd_0430.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0430_q3,Comparative Reasoning,fbd_0430.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0430_q4,Compound Reasoning,fbd_0430.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.7, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 144.75}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 202.65}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0430_q5,Extrapolative/Counterfactual Reasoning,fbd_0430.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0431_q1,Image Description,fbd_0431.png,How many force arrows are shown in this diagram?,2
fbd_0431_q2,Basic Relational Reasoning,fbd_0431.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0431_q3,Comparative Reasoning,fbd_0431.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0431_q4,Compound Reasoning,fbd_0431.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 210.72, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 210.7188}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 210.7188}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0431_q5,Extrapolative/Counterfactual Reasoning,fbd_0431.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0432_q1,Image Description,fbd_0432.png,How many force arrows are shown in this diagram?,3
fbd_0432_q2,Basic Relational Reasoning,fbd_0432.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0432_q3,Comparative Reasoning,fbd_0432.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0432_q4,Compound Reasoning,fbd_0432.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 64.0, 'magnitude': 135.16721}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 64.0, 'magnitude': 189.234094}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0432_q5,Extrapolative/Counterfactual Reasoning,fbd_0432.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_0433_q1,Image Description,fbd_0433.png,How many force arrows are shown in this diagram?,4
fbd_0433_q2,Basic Relational Reasoning,fbd_0433.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0433_q3,Comparative Reasoning,fbd_0433.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0433_q4,Compound Reasoning,fbd_0433.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.57}"
fbd_0433_q5,Extrapolative/Counterfactual Reasoning,fbd_0433.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0434_q1,Image Description,fbd_0434.png,How many force arrows are shown in this diagram?,2
fbd_0434_q2,Basic Relational Reasoning,fbd_0434.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0434_q3,Comparative Reasoning,fbd_0434.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0434_q4,Compound Reasoning,fbd_0434.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 115.66}"
fbd_0434_q5,Extrapolative/Counterfactual Reasoning,fbd_0434.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0435_q1,Image Description,fbd_0435.png,How many force arrows are shown in this diagram?,4
fbd_0435_q2,Basic Relational Reasoning,fbd_0435.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0435_q3,Comparative Reasoning,fbd_0435.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0435_q4,Compound Reasoning,fbd_0435.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 213.37}"
fbd_0435_q5,Extrapolative/Counterfactual Reasoning,fbd_0435.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0436_q1,Image Description,fbd_0436.png,How many force arrows are shown in this diagram?,4
fbd_0436_q2,Basic Relational Reasoning,fbd_0436.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0436_q3,Comparative Reasoning,fbd_0436.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0436_q4,Compound Reasoning,fbd_0436.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0}"
fbd_0436_q5,Extrapolative/Counterfactual Reasoning,fbd_0436.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0437_q1,Image Description,fbd_0437.png,How many force arrows are shown in this diagram?,2
fbd_0437_q2,Basic Relational Reasoning,fbd_0437.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0437_q3,Comparative Reasoning,fbd_0437.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0437_q4,Compound Reasoning,fbd_0437.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 142.15}"
fbd_0437_q5,Extrapolative/Counterfactual Reasoning,fbd_0437.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0438_q1,Image Description,fbd_0438.png,How many force arrows are shown in this diagram?,3
fbd_0438_q2,Basic Relational Reasoning,fbd_0438.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0438_q3,Comparative Reasoning,fbd_0438.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0438_q4,Compound Reasoning,fbd_0438.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_0438_q5,Extrapolative/Counterfactual Reasoning,fbd_0438.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_0439_q1,Image Description,fbd_0439.png,How many force arrows are shown in this diagram?,4
fbd_0439_q2,Basic Relational Reasoning,fbd_0439.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0439_q3,Comparative Reasoning,fbd_0439.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0439_q4,Compound Reasoning,fbd_0439.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 35.95, 'required_friction_coefficient': 0.49}"
fbd_0439_q5,Extrapolative/Counterfactual Reasoning,fbd_0439.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0440_q1,Image Description,fbd_0440.png,How many force arrows are shown in this diagram?,2
fbd_0440_q2,Basic Relational Reasoning,fbd_0440.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0440_q3,Comparative Reasoning,fbd_0440.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0440_q4,Compound Reasoning,fbd_0440.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 9.43, 'tension_magnitude': 68.95}"
fbd_0440_q5,Extrapolative/Counterfactual Reasoning,fbd_0440.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0441_q1,Image Description,fbd_0441.png,How many force arrows are shown in this diagram?,4
fbd_0441_q2,Basic Relational Reasoning,fbd_0441.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0441_q3,Comparative Reasoning,fbd_0441.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0441_q4,Compound Reasoning,fbd_0441.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 28.42, 'tension_magnitude': 115.14}"
fbd_0441_q5,Extrapolative/Counterfactual Reasoning,fbd_0441.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0442_q1,Image Description,fbd_0442.png,How many force arrows are shown in this diagram?,4
fbd_0442_q2,Basic Relational Reasoning,fbd_0442.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0442_q3,Comparative Reasoning,fbd_0442.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0442_q4,Compound Reasoning,fbd_0442.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 58.83}"
fbd_0442_q5,Extrapolative/Counterfactual Reasoning,fbd_0442.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (342.4 degrees; 0=right, 90=up)"
fbd_0443_q1,Image Description,fbd_0443.png,How many force arrows are shown in this diagram?,2
fbd_0443_q2,Basic Relational Reasoning,fbd_0443.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0443_q3,Comparative Reasoning,fbd_0443.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0443_q4,Compound Reasoning,fbd_0443.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 41.29, 'support_force_magnitude': 136.37}"
fbd_0443_q5,Extrapolative/Counterfactual Reasoning,fbd_0443.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0444_q1,Image Description,fbd_0444.png,How many force arrows are shown in this diagram?,3
fbd_0444_q2,Basic Relational Reasoning,fbd_0444.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0444_q3,Comparative Reasoning,fbd_0444.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0444_q4,Compound Reasoning,fbd_0444.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 21.32, 'required_friction_coefficient': 0.08}"
fbd_0444_q5,Extrapolative/Counterfactual Reasoning,fbd_0444.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (265.2 degrees; 0=right, 90=up)"
fbd_0445_q1,Image Description,fbd_0445.png,How many force arrows are shown in this diagram?,3
fbd_0445_q2,Basic Relational Reasoning,fbd_0445.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0445_q3,Comparative Reasoning,fbd_0445.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0445_q4,Compound Reasoning,fbd_0445.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.48}"
fbd_0445_q5,Extrapolative/Counterfactual Reasoning,fbd_0445.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0446_q1,Image Description,fbd_0446.png,How many force arrows are shown in this diagram?,1
fbd_0446_q2,Basic Relational Reasoning,fbd_0446.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0446_q3,Comparative Reasoning,fbd_0446.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0446_q4,Compound Reasoning,fbd_0446.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 182.47}"
fbd_0446_q5,Extrapolative/Counterfactual Reasoning,fbd_0446.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0447_q1,Image Description,fbd_0447.png,How many force arrows are shown in this diagram?,3
fbd_0447_q2,Basic Relational Reasoning,fbd_0447.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0447_q3,Comparative Reasoning,fbd_0447.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0447_q4,Compound Reasoning,fbd_0447.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 123.41}"
fbd_0447_q5,Extrapolative/Counterfactual Reasoning,fbd_0447.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0448_q1,Image Description,fbd_0448.png,How many force arrows are shown in this diagram?,3
fbd_0448_q2,Basic Relational Reasoning,fbd_0448.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0448_q3,Comparative Reasoning,fbd_0448.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0448_q4,Compound Reasoning,fbd_0448.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 0.0}"
fbd_0448_q5,Extrapolative/Counterfactual Reasoning,fbd_0448.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0449_q1,Image Description,fbd_0449.png,How many force arrows are shown in this diagram?,1
fbd_0449_q2,Basic Relational Reasoning,fbd_0449.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0449_q3,Comparative Reasoning,fbd_0449.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0449_q4,Compound Reasoning,fbd_0449.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 88.78}"
fbd_0449_q5,Extrapolative/Counterfactual Reasoning,fbd_0449.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0450_q1,Image Description,fbd_0450.png,How many force arrows are shown in this diagram?,2
fbd_0450_q2,Basic Relational Reasoning,fbd_0450.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0450_q3,Comparative Reasoning,fbd_0450.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0450_q4,Compound Reasoning,fbd_0450.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_0450_q5,Extrapolative/Counterfactual Reasoning,fbd_0450.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (241 degrees; 0=right, 90=up)"
fbd_0451_q1,Image Description,fbd_0451.png,How many force arrows are shown in this diagram?,4
fbd_0451_q2,Basic Relational Reasoning,fbd_0451.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0451_q3,Comparative Reasoning,fbd_0451.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0451_q4,Compound Reasoning,fbd_0451.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.44, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 117.0, 'magnitude': 58.126147}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 152.0, 'magnitude': 58.126147}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0451_q5,Extrapolative/Counterfactual Reasoning,fbd_0451.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0452_q1,Image Description,fbd_0452.png,How many force arrows are shown in this diagram?,2
fbd_0452_q2,Basic Relational Reasoning,fbd_0452.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0452_q3,Comparative Reasoning,fbd_0452.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0452_q4,Compound Reasoning,fbd_0452.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 112.42, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 112.4226}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 157.39164}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0452_q5,Extrapolative/Counterfactual Reasoning,fbd_0452.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0453_q1,Image Description,fbd_0453.png,How many force arrows are shown in this diagram?,4
fbd_0453_q2,Basic Relational Reasoning,fbd_0453.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0453_q3,Comparative Reasoning,fbd_0453.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0453_q4,Compound Reasoning,fbd_0453.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 96.04, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 96.0399}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 96.0399}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0453_q5,Extrapolative/Counterfactual Reasoning,fbd_0453.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0454_q1,Image Description,fbd_0454.png,How many force arrows are shown in this diagram?,4
fbd_0454_q2,Basic Relational Reasoning,fbd_0454.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0454_q3,Comparative Reasoning,fbd_0454.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0454_q4,Compound Reasoning,fbd_0454.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 187.44}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 262.416}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0454_q5,Extrapolative/Counterfactual Reasoning,fbd_0454.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0455_q1,Image Description,fbd_0455.png,How many force arrows are shown in this diagram?,2
fbd_0455_q2,Basic Relational Reasoning,fbd_0455.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0455_q3,Comparative Reasoning,fbd_0455.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0455_q4,Compound Reasoning,fbd_0455.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 201.11, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 201.105}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 201.105}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0455_q5,Extrapolative/Counterfactual Reasoning,fbd_0455.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0456_q1,Image Description,fbd_0456.png,How many force arrows are shown in this diagram?,3
fbd_0456_q2,Basic Relational Reasoning,fbd_0456.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0456_q3,Comparative Reasoning,fbd_0456.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0456_q4,Compound Reasoning,fbd_0456.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 67.0, 'magnitude': 162.271842}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 67.0, 'magnitude': 227.180579}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0456_q5,Extrapolative/Counterfactual Reasoning,fbd_0456.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_0457_q1,Image Description,fbd_0457.png,How many force arrows are shown in this diagram?,4
fbd_0457_q2,Basic Relational Reasoning,fbd_0457.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0457_q3,Comparative Reasoning,fbd_0457.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0457_q4,Compound Reasoning,fbd_0457.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.5}"
fbd_0457_q5,Extrapolative/Counterfactual Reasoning,fbd_0457.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0458_q1,Image Description,fbd_0458.png,How many force arrows are shown in this diagram?,2
fbd_0458_q2,Basic Relational Reasoning,fbd_0458.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0458_q3,Comparative Reasoning,fbd_0458.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0458_q4,Compound Reasoning,fbd_0458.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 70.04}"
fbd_0458_q5,Extrapolative/Counterfactual Reasoning,fbd_0458.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0459_q1,Image Description,fbd_0459.png,How many force arrows are shown in this diagram?,4
fbd_0459_q2,Basic Relational Reasoning,fbd_0459.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0459_q3,Comparative Reasoning,fbd_0459.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0459_q4,Compound Reasoning,fbd_0459.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 209.44}"
fbd_0459_q5,Extrapolative/Counterfactual Reasoning,fbd_0459.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0460_q1,Image Description,fbd_0460.png,How many force arrows are shown in this diagram?,4
fbd_0460_q2,Basic Relational Reasoning,fbd_0460.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0460_q3,Comparative Reasoning,fbd_0460.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0460_q4,Compound Reasoning,fbd_0460.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0}"
fbd_0460_q5,Extrapolative/Counterfactual Reasoning,fbd_0460.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0461_q1,Image Description,fbd_0461.png,How many force arrows are shown in this diagram?,2
fbd_0461_q2,Basic Relational Reasoning,fbd_0461.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0461_q3,Comparative Reasoning,fbd_0461.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0461_q4,Compound Reasoning,fbd_0461.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 171.87}"
fbd_0461_q5,Extrapolative/Counterfactual Reasoning,fbd_0461.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0462_q1,Image Description,fbd_0462.png,How many force arrows are shown in this diagram?,3
fbd_0462_q2,Basic Relational Reasoning,fbd_0462.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0462_q3,Comparative Reasoning,fbd_0462.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0462_q4,Compound Reasoning,fbd_0462.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_0462_q5,Extrapolative/Counterfactual Reasoning,fbd_0462.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_0463_q1,Image Description,fbd_0463.png,How many force arrows are shown in this diagram?,4
fbd_0463_q2,Basic Relational Reasoning,fbd_0463.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0463_q3,Comparative Reasoning,fbd_0463.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0463_q4,Compound Reasoning,fbd_0463.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 27.21, 'required_friction_coefficient': 0.54}"
fbd_0463_q5,Extrapolative/Counterfactual Reasoning,fbd_0463.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0464_q1,Image Description,fbd_0464.png,How many force arrows are shown in this diagram?,2
fbd_0464_q2,Basic Relational Reasoning,fbd_0464.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0464_q3,Comparative Reasoning,fbd_0464.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0464_q4,Compound Reasoning,fbd_0464.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 22.87, 'tension_magnitude': 78.66}"
fbd_0464_q5,Extrapolative/Counterfactual Reasoning,fbd_0464.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0465_q1,Image Description,fbd_0465.png,How many force arrows are shown in this diagram?,4
fbd_0465_q2,Basic Relational Reasoning,fbd_0465.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0465_q3,Comparative Reasoning,fbd_0465.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0465_q4,Compound Reasoning,fbd_0465.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 17.84, 'tension_magnitude': 106.82}"
fbd_0465_q5,Extrapolative/Counterfactual Reasoning,fbd_0465.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0466_q1,Image Description,fbd_0466.png,How many force arrows are shown in this diagram?,4
fbd_0466_q2,Basic Relational Reasoning,fbd_0466.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0466_q3,Comparative Reasoning,fbd_0466.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0466_q4,Compound Reasoning,fbd_0466.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 126.87}"
fbd_0466_q5,Extrapolative/Counterfactual Reasoning,fbd_0466.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (335.9 degrees; 0=right, 90=up)"
fbd_0467_q1,Image Description,fbd_0467.png,How many force arrows are shown in this diagram?,2
fbd_0467_q2,Basic Relational Reasoning,fbd_0467.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0467_q3,Comparative Reasoning,fbd_0467.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0467_q4,Compound Reasoning,fbd_0467.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 11.45, 'support_force_magnitude': 109.94}"
fbd_0467_q5,Extrapolative/Counterfactual Reasoning,fbd_0467.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0468_q1,Image Description,fbd_0468.png,How many force arrows are shown in this diagram?,3
fbd_0468_q2,Basic Relational Reasoning,fbd_0468.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0468_q3,Comparative Reasoning,fbd_0468.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0468_q4,Compound Reasoning,fbd_0468.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 37.21, 'required_friction_coefficient': 0.22}"
fbd_0468_q5,Extrapolative/Counterfactual Reasoning,fbd_0468.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (257.8 degrees; 0=right, 90=up)"
fbd_0469_q1,Image Description,fbd_0469.png,How many force arrows are shown in this diagram?,3
fbd_0469_q2,Basic Relational Reasoning,fbd_0469.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0469_q3,Comparative Reasoning,fbd_0469.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0469_q4,Compound Reasoning,fbd_0469.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_0469_q5,Extrapolative/Counterfactual Reasoning,fbd_0469.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0470_q1,Image Description,fbd_0470.png,How many force arrows are shown in this diagram?,1
fbd_0470_q2,Basic Relational Reasoning,fbd_0470.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0470_q3,Comparative Reasoning,fbd_0470.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0470_q4,Compound Reasoning,fbd_0470.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 65.33}"
fbd_0470_q5,Extrapolative/Counterfactual Reasoning,fbd_0470.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0471_q1,Image Description,fbd_0471.png,How many force arrows are shown in this diagram?,3
fbd_0471_q2,Basic Relational Reasoning,fbd_0471.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0471_q3,Comparative Reasoning,fbd_0471.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0471_q4,Compound Reasoning,fbd_0471.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 212.98}"
fbd_0471_q5,Extrapolative/Counterfactual Reasoning,fbd_0471.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0472_q1,Image Description,fbd_0472.png,How many force arrows are shown in this diagram?,3
fbd_0472_q2,Basic Relational Reasoning,fbd_0472.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0472_q3,Comparative Reasoning,fbd_0472.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0472_q4,Compound Reasoning,fbd_0472.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 0.0}"
fbd_0472_q5,Extrapolative/Counterfactual Reasoning,fbd_0472.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0473_q1,Image Description,fbd_0473.png,How many force arrows are shown in this diagram?,1
fbd_0473_q2,Basic Relational Reasoning,fbd_0473.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0473_q3,Comparative Reasoning,fbd_0473.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0473_q4,Compound Reasoning,fbd_0473.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 111.64}"
fbd_0473_q5,Extrapolative/Counterfactual Reasoning,fbd_0473.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0474_q1,Image Description,fbd_0474.png,How many force arrows are shown in this diagram?,2
fbd_0474_q2,Basic Relational Reasoning,fbd_0474.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0474_q3,Comparative Reasoning,fbd_0474.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0474_q4,Compound Reasoning,fbd_0474.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29}"
fbd_0474_q5,Extrapolative/Counterfactual Reasoning,fbd_0474.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_0475_q1,Image Description,fbd_0475.png,How many force arrows are shown in this diagram?,4
fbd_0475_q2,Basic Relational Reasoning,fbd_0475.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0475_q3,Comparative Reasoning,fbd_0475.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0475_q4,Compound Reasoning,fbd_0475.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 116.0, 'magnitude': 190.362692}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 151.0, 'magnitude': 190.362692}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0475_q5,Extrapolative/Counterfactual Reasoning,fbd_0475.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0476_q1,Image Description,fbd_0476.png,How many force arrows are shown in this diagram?,2
fbd_0476_q2,Basic Relational Reasoning,fbd_0476.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0476_q3,Comparative Reasoning,fbd_0476.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0476_q4,Compound Reasoning,fbd_0476.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 137.05, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 137.0457}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 191.86398}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0476_q5,Extrapolative/Counterfactual Reasoning,fbd_0476.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0477_q1,Image Description,fbd_0477.png,How many force arrows are shown in this diagram?,4
fbd_0477_q2,Basic Relational Reasoning,fbd_0477.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0477_q3,Comparative Reasoning,fbd_0477.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0477_q4,Compound Reasoning,fbd_0477.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 155.68, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 155.6847}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 155.6847}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0477_q5,Extrapolative/Counterfactual Reasoning,fbd_0477.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0478_q1,Image Description,fbd_0478.png,How many force arrows are shown in this diagram?,4
fbd_0478_q2,Basic Relational Reasoning,fbd_0478.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0478_q3,Comparative Reasoning,fbd_0478.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0478_q4,Compound Reasoning,fbd_0478.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 380.56}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 532.784}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0478_q5,Extrapolative/Counterfactual Reasoning,fbd_0478.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0479_q1,Image Description,fbd_0479.png,How many force arrows are shown in this diagram?,2
fbd_0479_q2,Basic Relational Reasoning,fbd_0479.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0479_q3,Comparative Reasoning,fbd_0479.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0479_q4,Compound Reasoning,fbd_0479.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 202.87, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 202.8708}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 202.8708}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0479_q5,Extrapolative/Counterfactual Reasoning,fbd_0479.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0480_q1,Image Description,fbd_0480.png,How many force arrows are shown in this diagram?,3
fbd_0480_q2,Basic Relational Reasoning,fbd_0480.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0480_q3,Comparative Reasoning,fbd_0480.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0480_q4,Compound Reasoning,fbd_0480.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 61.0, 'magnitude': 105.448438}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 61.0, 'magnitude': 147.627813}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0480_q5,Extrapolative/Counterfactual Reasoning,fbd_0480.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (241 degrees; 0=right, 90=up)"
fbd_0481_q1,Image Description,fbd_0481.png,How many force arrows are shown in this diagram?,4
fbd_0481_q2,Basic Relational Reasoning,fbd_0481.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0481_q3,Comparative Reasoning,fbd_0481.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0481_q4,Compound Reasoning,fbd_0481.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.52}"
fbd_0481_q5,Extrapolative/Counterfactual Reasoning,fbd_0481.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0482_q1,Image Description,fbd_0482.png,How many force arrows are shown in this diagram?,2
fbd_0482_q2,Basic Relational Reasoning,fbd_0482.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0482_q3,Comparative Reasoning,fbd_0482.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0482_q4,Compound Reasoning,fbd_0482.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 140.68}"
fbd_0482_q5,Extrapolative/Counterfactual Reasoning,fbd_0482.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0483_q1,Image Description,fbd_0483.png,How many force arrows are shown in this diagram?,4
fbd_0483_q2,Basic Relational Reasoning,fbd_0483.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0483_q3,Comparative Reasoning,fbd_0483.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0483_q4,Compound Reasoning,fbd_0483.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 142.05}"
fbd_0483_q5,Extrapolative/Counterfactual Reasoning,fbd_0483.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0484_q1,Image Description,fbd_0484.png,How many force arrows are shown in this diagram?,4
fbd_0484_q2,Basic Relational Reasoning,fbd_0484.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0484_q3,Comparative Reasoning,fbd_0484.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0484_q4,Compound Reasoning,fbd_0484.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 0.0}"
fbd_0484_q5,Extrapolative/Counterfactual Reasoning,fbd_0484.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0485_q1,Image Description,fbd_0485.png,How many force arrows are shown in this diagram?,2
fbd_0485_q2,Basic Relational Reasoning,fbd_0485.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0485_q3,Comparative Reasoning,fbd_0485.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0485_q4,Compound Reasoning,fbd_0485.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 80.83}"
fbd_0485_q5,Extrapolative/Counterfactual Reasoning,fbd_0485.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0486_q1,Image Description,fbd_0486.png,How many force arrows are shown in this diagram?,3
fbd_0486_q2,Basic Relational Reasoning,fbd_0486.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0486_q3,Comparative Reasoning,fbd_0486.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0486_q4,Compound Reasoning,fbd_0486.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_0486_q5,Extrapolative/Counterfactual Reasoning,fbd_0486.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_0487_q1,Image Description,fbd_0487.png,How many force arrows are shown in this diagram?,4
fbd_0487_q2,Basic Relational Reasoning,fbd_0487.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0487_q3,Comparative Reasoning,fbd_0487.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['A'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0487_q4,Compound Reasoning,fbd_0487.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 76.23, 'required_friction_coefficient': 0.65}"
fbd_0487_q5,Extrapolative/Counterfactual Reasoning,fbd_0487.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0488_q1,Image Description,fbd_0488.png,How many force arrows are shown in this diagram?,2
fbd_0488_q2,Basic Relational Reasoning,fbd_0488.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0488_q3,Comparative Reasoning,fbd_0488.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0488_q4,Compound Reasoning,fbd_0488.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 20.25, 'tension_magnitude': 56.17}"
fbd_0488_q5,Extrapolative/Counterfactual Reasoning,fbd_0488.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0489_q1,Image Description,fbd_0489.png,How many force arrows are shown in this diagram?,4
fbd_0489_q2,Basic Relational Reasoning,fbd_0489.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0489_q3,Comparative Reasoning,fbd_0489.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0489_q4,Compound Reasoning,fbd_0489.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 18.97, 'tension_magnitude': 225.18}"
fbd_0489_q5,Extrapolative/Counterfactual Reasoning,fbd_0489.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0490_q1,Image Description,fbd_0490.png,How many force arrows are shown in this diagram?,4
fbd_0490_q2,Basic Relational Reasoning,fbd_0490.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0490_q3,Comparative Reasoning,fbd_0490.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0490_q4,Compound Reasoning,fbd_0490.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 98.7}"
fbd_0490_q5,Extrapolative/Counterfactual Reasoning,fbd_0490.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (343 degrees; 0=right, 90=up)"
fbd_0491_q1,Image Description,fbd_0491.png,How many force arrows are shown in this diagram?,2
fbd_0491_q2,Basic Relational Reasoning,fbd_0491.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0491_q3,Comparative Reasoning,fbd_0491.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0491_q4,Compound Reasoning,fbd_0491.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 27.02, 'support_force_magnitude': 163.68}"
fbd_0491_q5,Extrapolative/Counterfactual Reasoning,fbd_0491.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0492_q1,Image Description,fbd_0492.png,How many force arrows are shown in this diagram?,3
fbd_0492_q2,Basic Relational Reasoning,fbd_0492.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0492_q3,Comparative Reasoning,fbd_0492.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0492_q4,Compound Reasoning,fbd_0492.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 39.17, 'required_friction_coefficient': 0.29}"
fbd_0492_q5,Extrapolative/Counterfactual Reasoning,fbd_0492.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253.9 degrees; 0=right, 90=up)"
fbd_0493_q1,Image Description,fbd_0493.png,How many force arrows are shown in this diagram?,3
fbd_0493_q2,Basic Relational Reasoning,fbd_0493.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0493_q3,Comparative Reasoning,fbd_0493.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0493_q4,Compound Reasoning,fbd_0493.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_0493_q5,Extrapolative/Counterfactual Reasoning,fbd_0493.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0494_q1,Image Description,fbd_0494.png,How many force arrows are shown in this diagram?,1
fbd_0494_q2,Basic Relational Reasoning,fbd_0494.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0494_q3,Comparative Reasoning,fbd_0494.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0494_q4,Compound Reasoning,fbd_0494.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 157.25}"
fbd_0494_q5,Extrapolative/Counterfactual Reasoning,fbd_0494.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0495_q1,Image Description,fbd_0495.png,How many force arrows are shown in this diagram?,3
fbd_0495_q2,Basic Relational Reasoning,fbd_0495.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0495_q3,Comparative Reasoning,fbd_0495.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0495_q4,Compound Reasoning,fbd_0495.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 166.28}"
fbd_0495_q5,Extrapolative/Counterfactual Reasoning,fbd_0495.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0496_q1,Image Description,fbd_0496.png,How many force arrows are shown in this diagram?,3
fbd_0496_q2,Basic Relational Reasoning,fbd_0496.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0496_q3,Comparative Reasoning,fbd_0496.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0496_q4,Compound Reasoning,fbd_0496.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 0.0}"
fbd_0496_q5,Extrapolative/Counterfactual Reasoning,fbd_0496.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0497_q1,Image Description,fbd_0497.png,How many force arrows are shown in this diagram?,1
fbd_0497_q2,Basic Relational Reasoning,fbd_0497.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0497_q3,Comparative Reasoning,fbd_0497.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0497_q4,Compound Reasoning,fbd_0497.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 100.06}"
fbd_0497_q5,Extrapolative/Counterfactual Reasoning,fbd_0497.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0498_q1,Image Description,fbd_0498.png,How many force arrows are shown in this diagram?,2
fbd_0498_q2,Basic Relational Reasoning,fbd_0498.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0498_q3,Comparative Reasoning,fbd_0498.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0498_q4,Compound Reasoning,fbd_0498.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_0498_q5,Extrapolative/Counterfactual Reasoning,fbd_0498.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_0499_q1,Image Description,fbd_0499.png,How many force arrows are shown in this diagram?,4
fbd_0499_q2,Basic Relational Reasoning,fbd_0499.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0499_q3,Comparative Reasoning,fbd_0499.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0499_q4,Compound Reasoning,fbd_0499.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.63, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 127.0, 'magnitude': 61.266684}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 162.0, 'magnitude': 61.266684}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0499_q5,Extrapolative/Counterfactual Reasoning,fbd_0499.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0500_q1,Image Description,fbd_0500.png,How many force arrows are shown in this diagram?,2
fbd_0500_q2,Basic Relational Reasoning,fbd_0500.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0500_q3,Comparative Reasoning,fbd_0500.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0500_q4,Compound Reasoning,fbd_0500.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 184.04, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 184.0356}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 257.64984}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0500_q5,Extrapolative/Counterfactual Reasoning,fbd_0500.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0501_q1,Image Description,fbd_0501.png,How many force arrows are shown in this diagram?,4
fbd_0501_q2,Basic Relational Reasoning,fbd_0501.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0501_q3,Comparative Reasoning,fbd_0501.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0501_q4,Compound Reasoning,fbd_0501.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 159.22, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 159.2163}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 159.2163}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0501_q5,Extrapolative/Counterfactual Reasoning,fbd_0501.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0502_q1,Image Description,fbd_0502.png,How many force arrows are shown in this diagram?,4
fbd_0502_q2,Basic Relational Reasoning,fbd_0502.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0502_q3,Comparative Reasoning,fbd_0502.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0502_q4,Compound Reasoning,fbd_0502.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 199.41}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 279.174}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0502_q5,Extrapolative/Counterfactual Reasoning,fbd_0502.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0503_q1,Image Description,fbd_0503.png,How many force arrows are shown in this diagram?,2
fbd_0503_q2,Basic Relational Reasoning,fbd_0503.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0503_q3,Comparative Reasoning,fbd_0503.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0503_q4,Compound Reasoning,fbd_0503.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 85.74, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 85.7394}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 85.7394}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0503_q5,Extrapolative/Counterfactual Reasoning,fbd_0503.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0504_q1,Image Description,fbd_0504.png,How many force arrows are shown in this diagram?,3
fbd_0504_q2,Basic Relational Reasoning,fbd_0504.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0504_q3,Comparative Reasoning,fbd_0504.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0504_q4,Compound Reasoning,fbd_0504.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 65.0, 'magnitude': 119.226693}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 65.0, 'magnitude': 166.91737}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0504_q5,Extrapolative/Counterfactual Reasoning,fbd_0504.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_0505_q1,Image Description,fbd_0505.png,How many force arrows are shown in this diagram?,4
fbd_0505_q2,Basic Relational Reasoning,fbd_0505.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0505_q3,Comparative Reasoning,fbd_0505.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0505_q4,Compound Reasoning,fbd_0505.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.7}"
fbd_0505_q5,Extrapolative/Counterfactual Reasoning,fbd_0505.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0506_q1,Image Description,fbd_0506.png,How many force arrows are shown in this diagram?,2
fbd_0506_q2,Basic Relational Reasoning,fbd_0506.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0506_q3,Comparative Reasoning,fbd_0506.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0506_q4,Compound Reasoning,fbd_0506.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 177.76}"
fbd_0506_q5,Extrapolative/Counterfactual Reasoning,fbd_0506.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0507_q1,Image Description,fbd_0507.png,How many force arrows are shown in this diagram?,4
fbd_0507_q2,Basic Relational Reasoning,fbd_0507.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0507_q3,Comparative Reasoning,fbd_0507.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0507_q4,Compound Reasoning,fbd_0507.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 134.5}"
fbd_0507_q5,Extrapolative/Counterfactual Reasoning,fbd_0507.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0508_q1,Image Description,fbd_0508.png,How many force arrows are shown in this diagram?,4
fbd_0508_q2,Basic Relational Reasoning,fbd_0508.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0508_q3,Comparative Reasoning,fbd_0508.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0508_q4,Compound Reasoning,fbd_0508.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 0.0}"
fbd_0508_q5,Extrapolative/Counterfactual Reasoning,fbd_0508.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0509_q1,Image Description,fbd_0509.png,How many force arrows are shown in this diagram?,2
fbd_0509_q2,Basic Relational Reasoning,fbd_0509.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0509_q3,Comparative Reasoning,fbd_0509.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0509_q4,Compound Reasoning,fbd_0509.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 169.52}"
fbd_0509_q5,Extrapolative/Counterfactual Reasoning,fbd_0509.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0510_q1,Image Description,fbd_0510.png,How many force arrows are shown in this diagram?,3
fbd_0510_q2,Basic Relational Reasoning,fbd_0510.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0510_q3,Comparative Reasoning,fbd_0510.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0510_q4,Compound Reasoning,fbd_0510.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45}"
fbd_0510_q5,Extrapolative/Counterfactual Reasoning,fbd_0510.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (246 degrees; 0=right, 90=up)"
fbd_0511_q1,Image Description,fbd_0511.png,How many force arrows are shown in this diagram?,4
fbd_0511_q2,Basic Relational Reasoning,fbd_0511.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0511_q3,Comparative Reasoning,fbd_0511.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0511_q4,Compound Reasoning,fbd_0511.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 20.05, 'required_friction_coefficient': 0.44}"
fbd_0511_q5,Extrapolative/Counterfactual Reasoning,fbd_0511.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0512_q1,Image Description,fbd_0512.png,How many force arrows are shown in this diagram?,2
fbd_0512_q2,Basic Relational Reasoning,fbd_0512.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0512_q3,Comparative Reasoning,fbd_0512.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0512_q4,Compound Reasoning,fbd_0512.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 12.41, 'tension_magnitude': 49.39}"
fbd_0512_q5,Extrapolative/Counterfactual Reasoning,fbd_0512.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0513_q1,Image Description,fbd_0513.png,How many force arrows are shown in this diagram?,4
fbd_0513_q2,Basic Relational Reasoning,fbd_0513.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0513_q3,Comparative Reasoning,fbd_0513.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0513_q4,Compound Reasoning,fbd_0513.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 14.64, 'tension_magnitude': 76.05}"
fbd_0513_q5,Extrapolative/Counterfactual Reasoning,fbd_0513.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0514_q1,Image Description,fbd_0514.png,How many force arrows are shown in this diagram?,4
fbd_0514_q2,Basic Relational Reasoning,fbd_0514.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0514_q3,Comparative Reasoning,fbd_0514.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0514_q4,Compound Reasoning,fbd_0514.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 63.89}"
fbd_0514_q5,Extrapolative/Counterfactual Reasoning,fbd_0514.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (341.9 degrees; 0=right, 90=up)"
fbd_0515_q1,Image Description,fbd_0515.png,How many force arrows are shown in this diagram?,2
fbd_0515_q2,Basic Relational Reasoning,fbd_0515.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0515_q3,Comparative Reasoning,fbd_0515.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0515_q4,Compound Reasoning,fbd_0515.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 24.51, 'support_force_magnitude': 109.17}"
fbd_0515_q5,Extrapolative/Counterfactual Reasoning,fbd_0515.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0516_q1,Image Description,fbd_0516.png,How many force arrows are shown in this diagram?,3
fbd_0516_q2,Basic Relational Reasoning,fbd_0516.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0516_q3,Comparative Reasoning,fbd_0516.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0516_q4,Compound Reasoning,fbd_0516.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 50.66, 'required_friction_coefficient': 0.25}"
fbd_0516_q5,Extrapolative/Counterfactual Reasoning,fbd_0516.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (256.2 degrees; 0=right, 90=up)"
fbd_0517_q1,Image Description,fbd_0517.png,How many force arrows are shown in this diagram?,3
fbd_0517_q2,Basic Relational Reasoning,fbd_0517.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0517_q3,Comparative Reasoning,fbd_0517.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0517_q4,Compound Reasoning,fbd_0517.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.6}"
fbd_0517_q5,Extrapolative/Counterfactual Reasoning,fbd_0517.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0518_q1,Image Description,fbd_0518.png,How many force arrows are shown in this diagram?,1
fbd_0518_q2,Basic Relational Reasoning,fbd_0518.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0518_q3,Comparative Reasoning,fbd_0518.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0518_q4,Compound Reasoning,fbd_0518.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 206.3}"
fbd_0518_q5,Extrapolative/Counterfactual Reasoning,fbd_0518.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0519_q1,Image Description,fbd_0519.png,How many force arrows are shown in this diagram?,3
fbd_0519_q2,Basic Relational Reasoning,fbd_0519.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0519_q3,Comparative Reasoning,fbd_0519.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0519_q4,Compound Reasoning,fbd_0519.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 153.62}"
fbd_0519_q5,Extrapolative/Counterfactual Reasoning,fbd_0519.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0520_q1,Image Description,fbd_0520.png,How many force arrows are shown in this diagram?,3
fbd_0520_q2,Basic Relational Reasoning,fbd_0520.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0520_q3,Comparative Reasoning,fbd_0520.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0520_q4,Compound Reasoning,fbd_0520.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.72, 'net_force_N': 0.0}"
fbd_0520_q5,Extrapolative/Counterfactual Reasoning,fbd_0520.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0521_q1,Image Description,fbd_0521.png,How many force arrows are shown in this diagram?,1
fbd_0521_q2,Basic Relational Reasoning,fbd_0521.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0521_q3,Comparative Reasoning,fbd_0521.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0521_q4,Compound Reasoning,fbd_0521.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 74.56}"
fbd_0521_q5,Extrapolative/Counterfactual Reasoning,fbd_0521.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0522_q1,Image Description,fbd_0522.png,How many force arrows are shown in this diagram?,2
fbd_0522_q2,Basic Relational Reasoning,fbd_0522.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0522_q3,Comparative Reasoning,fbd_0522.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0522_q4,Compound Reasoning,fbd_0522.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_0522_q5,Extrapolative/Counterfactual Reasoning,fbd_0522.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_0523_q1,Image Description,fbd_0523.png,How many force arrows are shown in this diagram?,4
fbd_0523_q2,Basic Relational Reasoning,fbd_0523.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0523_q3,Comparative Reasoning,fbd_0523.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0523_q4,Compound Reasoning,fbd_0523.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 125.0, 'magnitude': 173.816118}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 160.0, 'magnitude': 173.816118}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0523_q5,Extrapolative/Counterfactual Reasoning,fbd_0523.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0524_q1,Image Description,fbd_0524.png,How many force arrows are shown in this diagram?,2
fbd_0524_q2,Basic Relational Reasoning,fbd_0524.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0524_q3,Comparative Reasoning,fbd_0524.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0524_q4,Compound Reasoning,fbd_0524.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 94.18, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 94.176}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 131.8464}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0524_q5,Extrapolative/Counterfactual Reasoning,fbd_0524.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0525_q1,Image Description,fbd_0525.png,How many force arrows are shown in this diagram?,4
fbd_0525_q2,Basic Relational Reasoning,fbd_0525.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0525_q3,Comparative Reasoning,fbd_0525.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0525_q4,Compound Reasoning,fbd_0525.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 188.65, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 188.6463}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 188.6463}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0525_q5,Extrapolative/Counterfactual Reasoning,fbd_0525.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0526_q1,Image Description,fbd_0526.png,How many force arrows are shown in this diagram?,4
fbd_0526_q2,Basic Relational Reasoning,fbd_0526.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0526_q3,Comparative Reasoning,fbd_0526.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0526_q4,Compound Reasoning,fbd_0526.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.68, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 316.28}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 442.792}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0526_q5,Extrapolative/Counterfactual Reasoning,fbd_0526.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0527_q1,Image Description,fbd_0527.png,How many force arrows are shown in this diagram?,2
fbd_0527_q2,Basic Relational Reasoning,fbd_0527.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0527_q3,Comparative Reasoning,fbd_0527.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0527_q4,Compound Reasoning,fbd_0527.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 212.29, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 212.2884}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 212.2884}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0527_q5,Extrapolative/Counterfactual Reasoning,fbd_0527.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0528_q1,Image Description,fbd_0528.png,How many force arrows are shown in this diagram?,3
fbd_0528_q2,Basic Relational Reasoning,fbd_0528.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0528_q3,Comparative Reasoning,fbd_0528.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0528_q4,Compound Reasoning,fbd_0528.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 61.0, 'magnitude': 158.987758}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 61.0, 'magnitude': 222.582861}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0528_q5,Extrapolative/Counterfactual Reasoning,fbd_0528.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (241 degrees; 0=right, 90=up)"
fbd_0529_q1,Image Description,fbd_0529.png,How many force arrows are shown in this diagram?,4
fbd_0529_q2,Basic Relational Reasoning,fbd_0529.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0529_q3,Comparative Reasoning,fbd_0529.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0529_q4,Compound Reasoning,fbd_0529.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.43}"
fbd_0529_q5,Extrapolative/Counterfactual Reasoning,fbd_0529.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0530_q1,Image Description,fbd_0530.png,How many force arrows are shown in this diagram?,2
fbd_0530_q2,Basic Relational Reasoning,fbd_0530.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0530_q3,Comparative Reasoning,fbd_0530.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0530_q4,Compound Reasoning,fbd_0530.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 196.79}"
fbd_0530_q5,Extrapolative/Counterfactual Reasoning,fbd_0530.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0531_q1,Image Description,fbd_0531.png,How many force arrows are shown in this diagram?,4
fbd_0531_q2,Basic Relational Reasoning,fbd_0531.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0531_q3,Comparative Reasoning,fbd_0531.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0531_q4,Compound Reasoning,fbd_0531.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 200.42}"
fbd_0531_q5,Extrapolative/Counterfactual Reasoning,fbd_0531.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0532_q1,Image Description,fbd_0532.png,How many force arrows are shown in this diagram?,4
fbd_0532_q2,Basic Relational Reasoning,fbd_0532.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0532_q3,Comparative Reasoning,fbd_0532.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0532_q4,Compound Reasoning,fbd_0532.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 0.0}"
fbd_0532_q5,Extrapolative/Counterfactual Reasoning,fbd_0532.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0533_q1,Image Description,fbd_0533.png,How many force arrows are shown in this diagram?,2
fbd_0533_q2,Basic Relational Reasoning,fbd_0533.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0533_q3,Comparative Reasoning,fbd_0533.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0533_q4,Compound Reasoning,fbd_0533.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 118.11}"
fbd_0533_q5,Extrapolative/Counterfactual Reasoning,fbd_0533.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0534_q1,Image Description,fbd_0534.png,How many force arrows are shown in this diagram?,3
fbd_0534_q2,Basic Relational Reasoning,fbd_0534.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0534_q3,Comparative Reasoning,fbd_0534.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0534_q4,Compound Reasoning,fbd_0534.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45}"
fbd_0534_q5,Extrapolative/Counterfactual Reasoning,fbd_0534.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (246 degrees; 0=right, 90=up)"
fbd_0535_q1,Image Description,fbd_0535.png,How many force arrows are shown in this diagram?,4
fbd_0535_q2,Basic Relational Reasoning,fbd_0535.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0535_q3,Comparative Reasoning,fbd_0535.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0535_q4,Compound Reasoning,fbd_0535.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 22.09, 'required_friction_coefficient': 0.53}"
fbd_0535_q5,Extrapolative/Counterfactual Reasoning,fbd_0535.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0536_q1,Image Description,fbd_0536.png,How many force arrows are shown in this diagram?,2
fbd_0536_q2,Basic Relational Reasoning,fbd_0536.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0536_q3,Comparative Reasoning,fbd_0536.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0536_q4,Compound Reasoning,fbd_0536.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 42.78, 'tension_magnitude': 132.82}"
fbd_0536_q5,Extrapolative/Counterfactual Reasoning,fbd_0536.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0537_q1,Image Description,fbd_0537.png,How many force arrows are shown in this diagram?,4
fbd_0537_q2,Basic Relational Reasoning,fbd_0537.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0537_q3,Comparative Reasoning,fbd_0537.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0537_q4,Compound Reasoning,fbd_0537.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 38.06, 'tension_magnitude': 211.01}"
fbd_0537_q5,Extrapolative/Counterfactual Reasoning,fbd_0537.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0538_q1,Image Description,fbd_0538.png,How many force arrows are shown in this diagram?,4
fbd_0538_q2,Basic Relational Reasoning,fbd_0538.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0538_q3,Comparative Reasoning,fbd_0538.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0538_q4,Compound Reasoning,fbd_0538.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.73, 'net_force_N': 59.49}"
fbd_0538_q5,Extrapolative/Counterfactual Reasoning,fbd_0538.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (336.9 degrees; 0=right, 90=up)"
fbd_0539_q1,Image Description,fbd_0539.png,How many force arrows are shown in this diagram?,2
fbd_0539_q2,Basic Relational Reasoning,fbd_0539.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0539_q3,Comparative Reasoning,fbd_0539.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0539_q4,Compound Reasoning,fbd_0539.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 28.92, 'support_force_magnitude': 76.54}"
fbd_0539_q5,Extrapolative/Counterfactual Reasoning,fbd_0539.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0540_q1,Image Description,fbd_0540.png,How many force arrows are shown in this diagram?,3
fbd_0540_q2,Basic Relational Reasoning,fbd_0540.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0540_q3,Comparative Reasoning,fbd_0540.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0540_q4,Compound Reasoning,fbd_0540.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 34.98, 'required_friction_coefficient': 0.24}"
fbd_0540_q5,Extrapolative/Counterfactual Reasoning,fbd_0540.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (256.7 degrees; 0=right, 90=up)"
fbd_0541_q1,Image Description,fbd_0541.png,How many force arrows are shown in this diagram?,3
fbd_0541_q2,Basic Relational Reasoning,fbd_0541.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0541_q3,Comparative Reasoning,fbd_0541.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0541_q4,Compound Reasoning,fbd_0541.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_0541_q5,Extrapolative/Counterfactual Reasoning,fbd_0541.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0542_q1,Image Description,fbd_0542.png,How many force arrows are shown in this diagram?,1
fbd_0542_q2,Basic Relational Reasoning,fbd_0542.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0542_q3,Comparative Reasoning,fbd_0542.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0542_q4,Compound Reasoning,fbd_0542.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 134.3}"
fbd_0542_q5,Extrapolative/Counterfactual Reasoning,fbd_0542.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0543_q1,Image Description,fbd_0543.png,How many force arrows are shown in this diagram?,3
fbd_0543_q2,Basic Relational Reasoning,fbd_0543.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0543_q3,Comparative Reasoning,fbd_0543.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0543_q4,Compound Reasoning,fbd_0543.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 191.3}"
fbd_0543_q5,Extrapolative/Counterfactual Reasoning,fbd_0543.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0544_q1,Image Description,fbd_0544.png,How many force arrows are shown in this diagram?,3
fbd_0544_q2,Basic Relational Reasoning,fbd_0544.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0544_q3,Comparative Reasoning,fbd_0544.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0544_q4,Compound Reasoning,fbd_0544.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.67, 'net_force_N': 0.0}"
fbd_0544_q5,Extrapolative/Counterfactual Reasoning,fbd_0544.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0545_q1,Image Description,fbd_0545.png,How many force arrows are shown in this diagram?,1
fbd_0545_q2,Basic Relational Reasoning,fbd_0545.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0545_q3,Comparative Reasoning,fbd_0545.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0545_q4,Compound Reasoning,fbd_0545.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 92.61}"
fbd_0545_q5,Extrapolative/Counterfactual Reasoning,fbd_0545.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0546_q1,Image Description,fbd_0546.png,How many force arrows are shown in this diagram?,2
fbd_0546_q2,Basic Relational Reasoning,fbd_0546.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0546_q3,Comparative Reasoning,fbd_0546.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0546_q4,Compound Reasoning,fbd_0546.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_0546_q5,Extrapolative/Counterfactual Reasoning,fbd_0546.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_0547_q1,Image Description,fbd_0547.png,How many force arrows are shown in this diagram?,4
fbd_0547_q2,Basic Relational Reasoning,fbd_0547.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0547_q3,Comparative Reasoning,fbd_0547.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0547_q4,Compound Reasoning,fbd_0547.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.65, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 126.0, 'magnitude': 53.412354}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 161.0, 'magnitude': 53.412354}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0547_q5,Extrapolative/Counterfactual Reasoning,fbd_0547.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0548_q1,Image Description,fbd_0548.png,How many force arrows are shown in this diagram?,2
fbd_0548_q2,Basic Relational Reasoning,fbd_0548.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0548_q3,Comparative Reasoning,fbd_0548.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0548_q4,Compound Reasoning,fbd_0548.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 208.76, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 208.7568}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 292.25952}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0548_q5,Extrapolative/Counterfactual Reasoning,fbd_0548.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0549_q1,Image Description,fbd_0549.png,How many force arrows are shown in this diagram?,4
fbd_0549_q2,Basic Relational Reasoning,fbd_0549.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0549_q3,Comparative Reasoning,fbd_0549.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0549_q4,Compound Reasoning,fbd_0549.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 204.15, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 204.1461}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 204.1461}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0549_q5,Extrapolative/Counterfactual Reasoning,fbd_0549.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0550_q1,Image Description,fbd_0550.png,How many force arrows are shown in this diagram?,4
fbd_0550_q2,Basic Relational Reasoning,fbd_0550.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0550_q3,Comparative Reasoning,fbd_0550.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0550_q4,Compound Reasoning,fbd_0550.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 306.89}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 429.646}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0550_q5,Extrapolative/Counterfactual Reasoning,fbd_0550.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0551_q1,Image Description,fbd_0551.png,How many force arrows are shown in this diagram?,2
fbd_0551_q2,Basic Relational Reasoning,fbd_0551.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0551_q3,Comparative Reasoning,fbd_0551.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0551_q4,Compound Reasoning,fbd_0551.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 139.2, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 139.2039}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 139.2039}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0551_q5,Extrapolative/Counterfactual Reasoning,fbd_0551.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0552_q1,Image Description,fbd_0552.png,How many force arrows are shown in this diagram?,3
fbd_0552_q2,Basic Relational Reasoning,fbd_0552.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0552_q3,Comparative Reasoning,fbd_0552.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0552_q4,Compound Reasoning,fbd_0552.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 73.0, 'magnitude': 59.477757}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 73.0, 'magnitude': 83.26886}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0552_q5,Extrapolative/Counterfactual Reasoning,fbd_0552.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_0553_q1,Image Description,fbd_0553.png,How many force arrows are shown in this diagram?,4
fbd_0553_q2,Basic Relational Reasoning,fbd_0553.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0553_q3,Comparative Reasoning,fbd_0553.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0553_q4,Compound Reasoning,fbd_0553.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.57}"
fbd_0553_q5,Extrapolative/Counterfactual Reasoning,fbd_0553.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0554_q1,Image Description,fbd_0554.png,How many force arrows are shown in this diagram?,2
fbd_0554_q2,Basic Relational Reasoning,fbd_0554.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0554_q3,Comparative Reasoning,fbd_0554.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0554_q4,Compound Reasoning,fbd_0554.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 139.79}"
fbd_0554_q5,Extrapolative/Counterfactual Reasoning,fbd_0554.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0555_q1,Image Description,fbd_0555.png,How many force arrows are shown in this diagram?,4
fbd_0555_q2,Basic Relational Reasoning,fbd_0555.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0555_q3,Comparative Reasoning,fbd_0555.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0555_q4,Compound Reasoning,fbd_0555.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 89.17}"
fbd_0555_q5,Extrapolative/Counterfactual Reasoning,fbd_0555.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0556_q1,Image Description,fbd_0556.png,How many force arrows are shown in this diagram?,4
fbd_0556_q2,Basic Relational Reasoning,fbd_0556.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0556_q3,Comparative Reasoning,fbd_0556.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0556_q4,Compound Reasoning,fbd_0556.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 0.0}"
fbd_0556_q5,Extrapolative/Counterfactual Reasoning,fbd_0556.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0557_q1,Image Description,fbd_0557.png,How many force arrows are shown in this diagram?,2
fbd_0557_q2,Basic Relational Reasoning,fbd_0557.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0557_q3,Comparative Reasoning,fbd_0557.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0557_q4,Compound Reasoning,fbd_0557.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 62.69}"
fbd_0557_q5,Extrapolative/Counterfactual Reasoning,fbd_0557.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0558_q1,Image Description,fbd_0558.png,How many force arrows are shown in this diagram?,3
fbd_0558_q2,Basic Relational Reasoning,fbd_0558.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0558_q3,Comparative Reasoning,fbd_0558.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0558_q4,Compound Reasoning,fbd_0558.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_0558_q5,Extrapolative/Counterfactual Reasoning,fbd_0558.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (241 degrees; 0=right, 90=up)"
fbd_0559_q1,Image Description,fbd_0559.png,How many force arrows are shown in this diagram?,4
fbd_0559_q2,Basic Relational Reasoning,fbd_0559.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0559_q3,Comparative Reasoning,fbd_0559.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0559_q4,Compound Reasoning,fbd_0559.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 15.02, 'required_friction_coefficient': 0.5}"
fbd_0559_q5,Extrapolative/Counterfactual Reasoning,fbd_0559.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0560_q1,Image Description,fbd_0560.png,How many force arrows are shown in this diagram?,2
fbd_0560_q2,Basic Relational Reasoning,fbd_0560.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0560_q3,Comparative Reasoning,fbd_0560.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0560_q4,Compound Reasoning,fbd_0560.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 19.99, 'tension_magnitude': 158.26}"
fbd_0560_q5,Extrapolative/Counterfactual Reasoning,fbd_0560.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0561_q1,Image Description,fbd_0561.png,How many force arrows are shown in this diagram?,4
fbd_0561_q2,Basic Relational Reasoning,fbd_0561.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0561_q3,Comparative Reasoning,fbd_0561.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0561_q4,Compound Reasoning,fbd_0561.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 18.82, 'tension_magnitude': 170.68}"
fbd_0561_q5,Extrapolative/Counterfactual Reasoning,fbd_0561.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0562_q1,Image Description,fbd_0562.png,How many force arrows are shown in this diagram?,4
fbd_0562_q2,Basic Relational Reasoning,fbd_0562.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0562_q3,Comparative Reasoning,fbd_0562.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0562_q4,Compound Reasoning,fbd_0562.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 60.51}"
fbd_0562_q5,Extrapolative/Counterfactual Reasoning,fbd_0562.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (348.7 degrees; 0=right, 90=up)"
fbd_0563_q1,Image Description,fbd_0563.png,How many force arrows are shown in this diagram?,2
fbd_0563_q2,Basic Relational Reasoning,fbd_0563.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0563_q3,Comparative Reasoning,fbd_0563.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0563_q4,Compound Reasoning,fbd_0563.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 33.01, 'support_force_magnitude': 173.78}"
fbd_0563_q5,Extrapolative/Counterfactual Reasoning,fbd_0563.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0564_q1,Image Description,fbd_0564.png,How many force arrows are shown in this diagram?,3
fbd_0564_q2,Basic Relational Reasoning,fbd_0564.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0564_q3,Comparative Reasoning,fbd_0564.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0564_q4,Compound Reasoning,fbd_0564.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 34.26, 'required_friction_coefficient': 0.17}"
fbd_0564_q5,Extrapolative/Counterfactual Reasoning,fbd_0564.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (260.5 degrees; 0=right, 90=up)"
fbd_0565_q1,Image Description,fbd_0565.png,How many force arrows are shown in this diagram?,3
fbd_0565_q2,Basic Relational Reasoning,fbd_0565.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0565_q3,Comparative Reasoning,fbd_0565.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0565_q4,Compound Reasoning,fbd_0565.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.63}"
fbd_0565_q5,Extrapolative/Counterfactual Reasoning,fbd_0565.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0566_q1,Image Description,fbd_0566.png,How many force arrows are shown in this diagram?,1
fbd_0566_q2,Basic Relational Reasoning,fbd_0566.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0566_q3,Comparative Reasoning,fbd_0566.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0566_q4,Compound Reasoning,fbd_0566.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 183.94}"
fbd_0566_q5,Extrapolative/Counterfactual Reasoning,fbd_0566.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0567_q1,Image Description,fbd_0567.png,How many force arrows are shown in this diagram?,3
fbd_0567_q2,Basic Relational Reasoning,fbd_0567.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0567_q3,Comparative Reasoning,fbd_0567.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0567_q4,Compound Reasoning,fbd_0567.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 81.23}"
fbd_0567_q5,Extrapolative/Counterfactual Reasoning,fbd_0567.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0568_q1,Image Description,fbd_0568.png,How many force arrows are shown in this diagram?,3
fbd_0568_q2,Basic Relational Reasoning,fbd_0568.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0568_q3,Comparative Reasoning,fbd_0568.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0568_q4,Compound Reasoning,fbd_0568.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0}"
fbd_0568_q5,Extrapolative/Counterfactual Reasoning,fbd_0568.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0569_q1,Image Description,fbd_0569.png,How many force arrows are shown in this diagram?,1
fbd_0569_q2,Basic Relational Reasoning,fbd_0569.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0569_q3,Comparative Reasoning,fbd_0569.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0569_q4,Compound Reasoning,fbd_0569.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 156.08}"
fbd_0569_q5,Extrapolative/Counterfactual Reasoning,fbd_0569.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0570_q1,Image Description,fbd_0570.png,How many force arrows are shown in this diagram?,2
fbd_0570_q2,Basic Relational Reasoning,fbd_0570.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0570_q3,Comparative Reasoning,fbd_0570.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0570_q4,Compound Reasoning,fbd_0570.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29}"
fbd_0570_q5,Extrapolative/Counterfactual Reasoning,fbd_0570.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_0571_q1,Image Description,fbd_0571.png,How many force arrows are shown in this diagram?,4
fbd_0571_q2,Basic Relational Reasoning,fbd_0571.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0571_q3,Comparative Reasoning,fbd_0571.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0571_q4,Compound Reasoning,fbd_0571.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.71, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 128.0, 'magnitude': 65.244454}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 163.0, 'magnitude': 65.244454}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0571_q5,Extrapolative/Counterfactual Reasoning,fbd_0571.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0572_q1,Image Description,fbd_0572.png,How many force arrows are shown in this diagram?,2
fbd_0572_q2,Basic Relational Reasoning,fbd_0572.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0572_q3,Comparative Reasoning,fbd_0572.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0572_q4,Compound Reasoning,fbd_0572.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 207.19, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 207.1872}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 290.06208}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0572_q5,Extrapolative/Counterfactual Reasoning,fbd_0572.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0573_q1,Image Description,fbd_0573.png,How many force arrows are shown in this diagram?,4
fbd_0573_q2,Basic Relational Reasoning,fbd_0573.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0573_q3,Comparative Reasoning,fbd_0573.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0573_q4,Compound Reasoning,fbd_0573.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 168.14, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 168.1434}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 168.1434}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0573_q5,Extrapolative/Counterfactual Reasoning,fbd_0573.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0574_q1,Image Description,fbd_0574.png,How many force arrows are shown in this diagram?,4
fbd_0574_q2,Basic Relational Reasoning,fbd_0574.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0574_q3,Comparative Reasoning,fbd_0574.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0574_q4,Compound Reasoning,fbd_0574.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 177.91}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 249.074}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0574_q5,Extrapolative/Counterfactual Reasoning,fbd_0574.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0575_q1,Image Description,fbd_0575.png,How many force arrows are shown in this diagram?,2
fbd_0575_q2,Basic Relational Reasoning,fbd_0575.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0575_q3,Comparative Reasoning,fbd_0575.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0575_q4,Compound Reasoning,fbd_0575.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 106.73, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 106.7328}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 106.7328}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0575_q5,Extrapolative/Counterfactual Reasoning,fbd_0575.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0576_q1,Image Description,fbd_0576.png,How many force arrows are shown in this diagram?,3
fbd_0576_q2,Basic Relational Reasoning,fbd_0576.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0576_q3,Comparative Reasoning,fbd_0576.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0576_q4,Compound Reasoning,fbd_0576.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 65.0, 'magnitude': 162.080731}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 65.0, 'magnitude': 226.913023}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0576_q5,Extrapolative/Counterfactual Reasoning,fbd_0576.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_0577_q1,Image Description,fbd_0577.png,How many force arrows are shown in this diagram?,4
fbd_0577_q2,Basic Relational Reasoning,fbd_0577.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0577_q3,Comparative Reasoning,fbd_0577.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0577_q4,Compound Reasoning,fbd_0577.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.66}"
fbd_0577_q5,Extrapolative/Counterfactual Reasoning,fbd_0577.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0578_q1,Image Description,fbd_0578.png,How many force arrows are shown in this diagram?,2
fbd_0578_q2,Basic Relational Reasoning,fbd_0578.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0578_q3,Comparative Reasoning,fbd_0578.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0578_q4,Compound Reasoning,fbd_0578.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 178.74}"
fbd_0578_q5,Extrapolative/Counterfactual Reasoning,fbd_0578.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0579_q1,Image Description,fbd_0579.png,How many force arrows are shown in this diagram?,4
fbd_0579_q2,Basic Relational Reasoning,fbd_0579.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0579_q3,Comparative Reasoning,fbd_0579.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0579_q4,Compound Reasoning,fbd_0579.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 108.5}"
fbd_0579_q5,Extrapolative/Counterfactual Reasoning,fbd_0579.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0580_q1,Image Description,fbd_0580.png,How many force arrows are shown in this diagram?,4
fbd_0580_q2,Basic Relational Reasoning,fbd_0580.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0580_q3,Comparative Reasoning,fbd_0580.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0580_q4,Compound Reasoning,fbd_0580.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 0.0}"
fbd_0580_q5,Extrapolative/Counterfactual Reasoning,fbd_0580.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0581_q1,Image Description,fbd_0581.png,How many force arrows are shown in this diagram?,2
fbd_0581_q2,Basic Relational Reasoning,fbd_0581.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0581_q3,Comparative Reasoning,fbd_0581.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0581_q4,Compound Reasoning,fbd_0581.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 170.5}"
fbd_0581_q5,Extrapolative/Counterfactual Reasoning,fbd_0581.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0582_q1,Image Description,fbd_0582.png,How many force arrows are shown in this diagram?,3
fbd_0582_q2,Basic Relational Reasoning,fbd_0582.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0582_q3,Comparative Reasoning,fbd_0582.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0582_q4,Compound Reasoning,fbd_0582.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_0582_q5,Extrapolative/Counterfactual Reasoning,fbd_0582.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_0583_q1,Image Description,fbd_0583.png,How many force arrows are shown in this diagram?,4
fbd_0583_q2,Basic Relational Reasoning,fbd_0583.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0583_q3,Comparative Reasoning,fbd_0583.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0583_q4,Compound Reasoning,fbd_0583.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 43.12, 'required_friction_coefficient': 0.43}"
fbd_0583_q5,Extrapolative/Counterfactual Reasoning,fbd_0583.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0584_q1,Image Description,fbd_0584.png,How many force arrows are shown in this diagram?,2
fbd_0584_q2,Basic Relational Reasoning,fbd_0584.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0584_q3,Comparative Reasoning,fbd_0584.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0584_q4,Compound Reasoning,fbd_0584.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 24.07, 'tension_magnitude': 128.28}"
fbd_0584_q5,Extrapolative/Counterfactual Reasoning,fbd_0584.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0585_q1,Image Description,fbd_0585.png,How many force arrows are shown in this diagram?,4
fbd_0585_q2,Basic Relational Reasoning,fbd_0585.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0585_q3,Comparative Reasoning,fbd_0585.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0585_q4,Compound Reasoning,fbd_0585.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 25.05, 'tension_magnitude': 93.72}"
fbd_0585_q5,Extrapolative/Counterfactual Reasoning,fbd_0585.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0586_q1,Image Description,fbd_0586.png,How many force arrows are shown in this diagram?,4
fbd_0586_q2,Basic Relational Reasoning,fbd_0586.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0586_q3,Comparative Reasoning,fbd_0586.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0586_q4,Compound Reasoning,fbd_0586.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 71.38}"
fbd_0586_q5,Extrapolative/Counterfactual Reasoning,fbd_0586.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (343.9 degrees; 0=right, 90=up)"
fbd_0587_q1,Image Description,fbd_0587.png,How many force arrows are shown in this diagram?,2
fbd_0587_q2,Basic Relational Reasoning,fbd_0587.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0587_q3,Comparative Reasoning,fbd_0587.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0587_q4,Compound Reasoning,fbd_0587.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 59.39, 'support_force_magnitude': 258.24}"
fbd_0587_q5,Extrapolative/Counterfactual Reasoning,fbd_0587.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0588_q1,Image Description,fbd_0588.png,How many force arrows are shown in this diagram?,3
fbd_0588_q2,Basic Relational Reasoning,fbd_0588.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0588_q3,Comparative Reasoning,fbd_0588.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0588_q4,Compound Reasoning,fbd_0588.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 34.78, 'required_friction_coefficient': 0.34}"
fbd_0588_q5,Extrapolative/Counterfactual Reasoning,fbd_0588.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251.4 degrees; 0=right, 90=up)"
fbd_0589_q1,Image Description,fbd_0589.png,How many force arrows are shown in this diagram?,3
fbd_0589_q2,Basic Relational Reasoning,fbd_0589.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0589_q3,Comparative Reasoning,fbd_0589.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0589_q4,Compound Reasoning,fbd_0589.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.63}"
fbd_0589_q5,Extrapolative/Counterfactual Reasoning,fbd_0589.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0590_q1,Image Description,fbd_0590.png,How many force arrows are shown in this diagram?,1
fbd_0590_q2,Basic Relational Reasoning,fbd_0590.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0590_q3,Comparative Reasoning,fbd_0590.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0590_q4,Compound Reasoning,fbd_0590.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 62.78}"
fbd_0590_q5,Extrapolative/Counterfactual Reasoning,fbd_0590.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0591_q1,Image Description,fbd_0591.png,How many force arrows are shown in this diagram?,3
fbd_0591_q2,Basic Relational Reasoning,fbd_0591.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0591_q3,Comparative Reasoning,fbd_0591.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0591_q4,Compound Reasoning,fbd_0591.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 144.99}"
fbd_0591_q5,Extrapolative/Counterfactual Reasoning,fbd_0591.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0592_q1,Image Description,fbd_0592.png,How many force arrows are shown in this diagram?,3
fbd_0592_q2,Basic Relational Reasoning,fbd_0592.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0592_q3,Comparative Reasoning,fbd_0592.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0592_q4,Compound Reasoning,fbd_0592.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 0.0}"
fbd_0592_q5,Extrapolative/Counterfactual Reasoning,fbd_0592.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0593_q1,Image Description,fbd_0593.png,How many force arrows are shown in this diagram?,1
fbd_0593_q2,Basic Relational Reasoning,fbd_0593.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0593_q3,Comparative Reasoning,fbd_0593.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0593_q4,Compound Reasoning,fbd_0593.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 203.75}"
fbd_0593_q5,Extrapolative/Counterfactual Reasoning,fbd_0593.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0594_q1,Image Description,fbd_0594.png,How many force arrows are shown in this diagram?,2
fbd_0594_q2,Basic Relational Reasoning,fbd_0594.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0594_q3,Comparative Reasoning,fbd_0594.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0594_q4,Compound Reasoning,fbd_0594.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_0594_q5,Extrapolative/Counterfactual Reasoning,fbd_0594.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_0595_q1,Image Description,fbd_0595.png,How many force arrows are shown in this diagram?,4
fbd_0595_q2,Basic Relational Reasoning,fbd_0595.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0595_q3,Comparative Reasoning,fbd_0595.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0595_q4,Compound Reasoning,fbd_0595.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 120.0, 'magnitude': 186.056032}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 155.0, 'magnitude': 186.056032}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0595_q5,Extrapolative/Counterfactual Reasoning,fbd_0595.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0596_q1,Image Description,fbd_0596.png,How many force arrows are shown in this diagram?,2
fbd_0596_q2,Basic Relational Reasoning,fbd_0596.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0596_q3,Comparative Reasoning,fbd_0596.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0596_q4,Compound Reasoning,fbd_0596.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 122.33, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 122.3307}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 171.26298}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0596_q5,Extrapolative/Counterfactual Reasoning,fbd_0596.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0597_q1,Image Description,fbd_0597.png,How many force arrows are shown in this diagram?,4
fbd_0597_q2,Basic Relational Reasoning,fbd_0597.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0597_q3,Comparative Reasoning,fbd_0597.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0597_q4,Compound Reasoning,fbd_0597.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 74.75, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 74.7522}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 74.7522}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0597_q5,Extrapolative/Counterfactual Reasoning,fbd_0597.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0598_q1,Image Description,fbd_0598.png,How many force arrows are shown in this diagram?,4
fbd_0598_q2,Basic Relational Reasoning,fbd_0598.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0598_q3,Comparative Reasoning,fbd_0598.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0598_q4,Compound Reasoning,fbd_0598.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 270.37}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 378.518}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0598_q5,Extrapolative/Counterfactual Reasoning,fbd_0598.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0599_q1,Image Description,fbd_0599.png,How many force arrows are shown in this diagram?,2
fbd_0599_q2,Basic Relational Reasoning,fbd_0599.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0599_q3,Comparative Reasoning,fbd_0599.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0599_q4,Compound Reasoning,fbd_0599.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 169.91, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 169.9092}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 169.9092}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0599_q5,Extrapolative/Counterfactual Reasoning,fbd_0599.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0600_q1,Image Description,fbd_0600.png,How many force arrows are shown in this diagram?,3
fbd_0600_q2,Basic Relational Reasoning,fbd_0600.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0600_q3,Comparative Reasoning,fbd_0600.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0600_q4,Compound Reasoning,fbd_0600.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 69.0, 'magnitude': 192.784825}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 69.0, 'magnitude': 269.898755}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0600_q5,Extrapolative/Counterfactual Reasoning,fbd_0600.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_0601_q1,Image Description,fbd_0601.png,How many force arrows are shown in this diagram?,4
fbd_0601_q2,Basic Relational Reasoning,fbd_0601.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0601_q3,Comparative Reasoning,fbd_0601.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0601_q4,Compound Reasoning,fbd_0601.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_0601_q5,Extrapolative/Counterfactual Reasoning,fbd_0601.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0602_q1,Image Description,fbd_0602.png,How many force arrows are shown in this diagram?,2
fbd_0602_q2,Basic Relational Reasoning,fbd_0602.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0602_q3,Comparative Reasoning,fbd_0602.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0602_q4,Compound Reasoning,fbd_0602.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 121.84}"
fbd_0602_q5,Extrapolative/Counterfactual Reasoning,fbd_0602.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0603_q1,Image Description,fbd_0603.png,How many force arrows are shown in this diagram?,4
fbd_0603_q2,Basic Relational Reasoning,fbd_0603.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0603_q3,Comparative Reasoning,fbd_0603.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0603_q4,Compound Reasoning,fbd_0603.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 84.76}"
fbd_0603_q5,Extrapolative/Counterfactual Reasoning,fbd_0603.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0604_q1,Image Description,fbd_0604.png,How many force arrows are shown in this diagram?,4
fbd_0604_q2,Basic Relational Reasoning,fbd_0604.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0604_q3,Comparative Reasoning,fbd_0604.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0604_q4,Compound Reasoning,fbd_0604.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0}"
fbd_0604_q5,Extrapolative/Counterfactual Reasoning,fbd_0604.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0605_q1,Image Description,fbd_0605.png,How many force arrows are shown in this diagram?,2
fbd_0605_q2,Basic Relational Reasoning,fbd_0605.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0605_q3,Comparative Reasoning,fbd_0605.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0605_q4,Compound Reasoning,fbd_0605.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 85.94}"
fbd_0605_q5,Extrapolative/Counterfactual Reasoning,fbd_0605.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0606_q1,Image Description,fbd_0606.png,How many force arrows are shown in this diagram?,3
fbd_0606_q2,Basic Relational Reasoning,fbd_0606.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0606_q3,Comparative Reasoning,fbd_0606.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0606_q4,Compound Reasoning,fbd_0606.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29}"
fbd_0606_q5,Extrapolative/Counterfactual Reasoning,fbd_0606.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_0607_q1,Image Description,fbd_0607.png,How many force arrows are shown in this diagram?,4
fbd_0607_q2,Basic Relational Reasoning,fbd_0607.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0607_q3,Comparative Reasoning,fbd_0607.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0607_q4,Compound Reasoning,fbd_0607.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 75.41, 'required_friction_coefficient': 0.68}"
fbd_0607_q5,Extrapolative/Counterfactual Reasoning,fbd_0607.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0608_q1,Image Description,fbd_0608.png,How many force arrows are shown in this diagram?,2
fbd_0608_q2,Basic Relational Reasoning,fbd_0608.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0608_q3,Comparative Reasoning,fbd_0608.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0608_q4,Compound Reasoning,fbd_0608.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 23.89, 'tension_magnitude': 55.57}"
fbd_0608_q5,Extrapolative/Counterfactual Reasoning,fbd_0608.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0609_q1,Image Description,fbd_0609.png,How many force arrows are shown in this diagram?,4
fbd_0609_q2,Basic Relational Reasoning,fbd_0609.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0609_q3,Comparative Reasoning,fbd_0609.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0609_q4,Compound Reasoning,fbd_0609.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 21.85, 'tension_magnitude': 179.59}"
fbd_0609_q5,Extrapolative/Counterfactual Reasoning,fbd_0609.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0610_q1,Image Description,fbd_0610.png,How many force arrows are shown in this diagram?,4
fbd_0610_q2,Basic Relational Reasoning,fbd_0610.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0610_q3,Comparative Reasoning,fbd_0610.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0610_q4,Compound Reasoning,fbd_0610.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 46.99}"
fbd_0610_q5,Extrapolative/Counterfactual Reasoning,fbd_0610.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (346.5 degrees; 0=right, 90=up)"
fbd_0611_q1,Image Description,fbd_0611.png,How many force arrows are shown in this diagram?,2
fbd_0611_q2,Basic Relational Reasoning,fbd_0611.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0611_q3,Comparative Reasoning,fbd_0611.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0611_q4,Compound Reasoning,fbd_0611.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 33.22, 'support_force_magnitude': 177.43}"
fbd_0611_q5,Extrapolative/Counterfactual Reasoning,fbd_0611.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0612_q1,Image Description,fbd_0612.png,How many force arrows are shown in this diagram?,3
fbd_0612_q2,Basic Relational Reasoning,fbd_0612.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0612_q3,Comparative Reasoning,fbd_0612.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0612_q4,Compound Reasoning,fbd_0612.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 44.71, 'required_friction_coefficient': 0.1}"
fbd_0612_q5,Extrapolative/Counterfactual Reasoning,fbd_0612.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (264.3 degrees; 0=right, 90=up)"
fbd_0613_q1,Image Description,fbd_0613.png,How many force arrows are shown in this diagram?,3
fbd_0613_q2,Basic Relational Reasoning,fbd_0613.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0613_q3,Comparative Reasoning,fbd_0613.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0613_q4,Compound Reasoning,fbd_0613.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.68}"
fbd_0613_q5,Extrapolative/Counterfactual Reasoning,fbd_0613.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0614_q1,Image Description,fbd_0614.png,How many force arrows are shown in this diagram?,1
fbd_0614_q2,Basic Relational Reasoning,fbd_0614.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0614_q3,Comparative Reasoning,fbd_0614.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0614_q4,Compound Reasoning,fbd_0614.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 98.69}"
fbd_0614_q5,Extrapolative/Counterfactual Reasoning,fbd_0614.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0615_q1,Image Description,fbd_0615.png,How many force arrows are shown in this diagram?,3
fbd_0615_q2,Basic Relational Reasoning,fbd_0615.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0615_q3,Comparative Reasoning,fbd_0615.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0615_q4,Compound Reasoning,fbd_0615.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 95.16}"
fbd_0615_q5,Extrapolative/Counterfactual Reasoning,fbd_0615.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0616_q1,Image Description,fbd_0616.png,How many force arrows are shown in this diagram?,3
fbd_0616_q2,Basic Relational Reasoning,fbd_0616.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0616_q3,Comparative Reasoning,fbd_0616.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0616_q4,Compound Reasoning,fbd_0616.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 0.0}"
fbd_0616_q5,Extrapolative/Counterfactual Reasoning,fbd_0616.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0617_q1,Image Description,fbd_0617.png,How many force arrows are shown in this diagram?,1
fbd_0617_q2,Basic Relational Reasoning,fbd_0617.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0617_q3,Comparative Reasoning,fbd_0617.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0617_q4,Compound Reasoning,fbd_0617.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 167.65}"
fbd_0617_q5,Extrapolative/Counterfactual Reasoning,fbd_0617.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0618_q1,Image Description,fbd_0618.png,How many force arrows are shown in this diagram?,2
fbd_0618_q2,Basic Relational Reasoning,fbd_0618.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0618_q3,Comparative Reasoning,fbd_0618.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0618_q4,Compound Reasoning,fbd_0618.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_0618_q5,Extrapolative/Counterfactual Reasoning,fbd_0618.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_0619_q1,Image Description,fbd_0619.png,How many force arrows are shown in this diagram?,4
fbd_0619_q2,Basic Relational Reasoning,fbd_0619.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0619_q3,Comparative Reasoning,fbd_0619.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0619_q4,Compound Reasoning,fbd_0619.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.39, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 115.0, 'magnitude': 125.717035}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 150.0, 'magnitude': 125.717035}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0619_q5,Extrapolative/Counterfactual Reasoning,fbd_0619.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0620_q1,Image Description,fbd_0620.png,How many force arrows are shown in this diagram?,2
fbd_0620_q2,Basic Relational Reasoning,fbd_0620.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0620_q3,Comparative Reasoning,fbd_0620.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0620_q4,Compound Reasoning,fbd_0620.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 93.88, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 93.8817}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 131.43438}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0620_q5,Extrapolative/Counterfactual Reasoning,fbd_0620.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0621_q1,Image Description,fbd_0621.png,How many force arrows are shown in this diagram?,4
fbd_0621_q2,Basic Relational Reasoning,fbd_0621.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0621_q3,Comparative Reasoning,fbd_0621.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0621_q4,Compound Reasoning,fbd_0621.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 108.2, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 108.2043}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 108.2043}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0621_q5,Extrapolative/Counterfactual Reasoning,fbd_0621.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0622_q1,Image Description,fbd_0622.png,How many force arrows are shown in this diagram?,4
fbd_0622_q2,Basic Relational Reasoning,fbd_0622.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0622_q3,Comparative Reasoning,fbd_0622.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0622_q4,Compound Reasoning,fbd_0622.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 198.89}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 278.446}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0622_q5,Extrapolative/Counterfactual Reasoning,fbd_0622.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0623_q1,Image Description,fbd_0623.png,How many force arrows are shown in this diagram?,2
fbd_0623_q2,Basic Relational Reasoning,fbd_0623.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0623_q3,Comparative Reasoning,fbd_0623.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0623_q4,Compound Reasoning,fbd_0623.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 65.92, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 65.9232}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 65.9232}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0623_q5,Extrapolative/Counterfactual Reasoning,fbd_0623.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0624_q1,Image Description,fbd_0624.png,How many force arrows are shown in this diagram?,3
fbd_0624_q2,Basic Relational Reasoning,fbd_0624.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0624_q3,Comparative Reasoning,fbd_0624.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0624_q4,Compound Reasoning,fbd_0624.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 74.0, 'magnitude': 85.152694}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 74.0, 'magnitude': 119.213772}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0624_q5,Extrapolative/Counterfactual Reasoning,fbd_0624.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_0625_q1,Image Description,fbd_0625.png,How many force arrows are shown in this diagram?,4
fbd_0625_q2,Basic Relational Reasoning,fbd_0625.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0625_q3,Comparative Reasoning,fbd_0625.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0625_q4,Compound Reasoning,fbd_0625.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.48}"
fbd_0625_q5,Extrapolative/Counterfactual Reasoning,fbd_0625.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0626_q1,Image Description,fbd_0626.png,How many force arrows are shown in this diagram?,2
fbd_0626_q2,Basic Relational Reasoning,fbd_0626.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0626_q3,Comparative Reasoning,fbd_0626.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0626_q4,Compound Reasoning,fbd_0626.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 116.25}"
fbd_0626_q5,Extrapolative/Counterfactual Reasoning,fbd_0626.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0627_q1,Image Description,fbd_0627.png,How many force arrows are shown in this diagram?,4
fbd_0627_q2,Basic Relational Reasoning,fbd_0627.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0627_q3,Comparative Reasoning,fbd_0627.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0627_q4,Compound Reasoning,fbd_0627.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 204.73}"
fbd_0627_q5,Extrapolative/Counterfactual Reasoning,fbd_0627.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0628_q1,Image Description,fbd_0628.png,How many force arrows are shown in this diagram?,4
fbd_0628_q2,Basic Relational Reasoning,fbd_0628.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0628_q3,Comparative Reasoning,fbd_0628.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0628_q4,Compound Reasoning,fbd_0628.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 0.0}"
fbd_0628_q5,Extrapolative/Counterfactual Reasoning,fbd_0628.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0629_q1,Image Description,fbd_0629.png,How many force arrows are shown in this diagram?,2
fbd_0629_q2,Basic Relational Reasoning,fbd_0629.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0629_q3,Comparative Reasoning,fbd_0629.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0629_q4,Compound Reasoning,fbd_0629.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 67.3}"
fbd_0629_q5,Extrapolative/Counterfactual Reasoning,fbd_0629.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0630_q1,Image Description,fbd_0630.png,How many force arrows are shown in this diagram?,3
fbd_0630_q2,Basic Relational Reasoning,fbd_0630.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0630_q3,Comparative Reasoning,fbd_0630.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0630_q4,Compound Reasoning,fbd_0630.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.32}"
fbd_0630_q5,Extrapolative/Counterfactual Reasoning,fbd_0630.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_0631_q1,Image Description,fbd_0631.png,How many force arrows are shown in this diagram?,4
fbd_0631_q2,Basic Relational Reasoning,fbd_0631.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0631_q3,Comparative Reasoning,fbd_0631.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0631_q4,Compound Reasoning,fbd_0631.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 60.0, 'required_friction_coefficient': 0.48}"
fbd_0631_q5,Extrapolative/Counterfactual Reasoning,fbd_0631.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0632_q1,Image Description,fbd_0632.png,How many force arrows are shown in this diagram?,2
fbd_0632_q2,Basic Relational Reasoning,fbd_0632.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0632_q3,Comparative Reasoning,fbd_0632.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0632_q4,Compound Reasoning,fbd_0632.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 36.56, 'tension_magnitude': 79.89}"
fbd_0632_q5,Extrapolative/Counterfactual Reasoning,fbd_0632.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0633_q1,Image Description,fbd_0633.png,How many force arrows are shown in this diagram?,4
fbd_0633_q2,Basic Relational Reasoning,fbd_0633.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0633_q3,Comparative Reasoning,fbd_0633.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0633_q4,Compound Reasoning,fbd_0633.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 27.99, 'tension_magnitude': 93.82}"
fbd_0633_q5,Extrapolative/Counterfactual Reasoning,fbd_0633.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0634_q1,Image Description,fbd_0634.png,How many force arrows are shown in this diagram?,4
fbd_0634_q2,Basic Relational Reasoning,fbd_0634.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0634_q3,Comparative Reasoning,fbd_0634.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0634_q4,Compound Reasoning,fbd_0634.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 48.85}"
fbd_0634_q5,Extrapolative/Counterfactual Reasoning,fbd_0634.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (340.1 degrees; 0=right, 90=up)"
fbd_0635_q1,Image Description,fbd_0635.png,How many force arrows are shown in this diagram?,2
fbd_0635_q2,Basic Relational Reasoning,fbd_0635.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0635_q3,Comparative Reasoning,fbd_0635.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0635_q4,Compound Reasoning,fbd_0635.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 17.87, 'support_force_magnitude': 130.98}"
fbd_0635_q5,Extrapolative/Counterfactual Reasoning,fbd_0635.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0636_q1,Image Description,fbd_0636.png,How many force arrows are shown in this diagram?,3
fbd_0636_q2,Basic Relational Reasoning,fbd_0636.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0636_q3,Comparative Reasoning,fbd_0636.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0636_q4,Compound Reasoning,fbd_0636.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 16.65, 'required_friction_coefficient': 0.36}"
fbd_0636_q5,Extrapolative/Counterfactual Reasoning,fbd_0636.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250.5 degrees; 0=right, 90=up)"
fbd_0637_q1,Image Description,fbd_0637.png,How many force arrows are shown in this diagram?,3
fbd_0637_q2,Basic Relational Reasoning,fbd_0637.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0637_q3,Comparative Reasoning,fbd_0637.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0637_q4,Compound Reasoning,fbd_0637.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.46}"
fbd_0637_q5,Extrapolative/Counterfactual Reasoning,fbd_0637.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0638_q1,Image Description,fbd_0638.png,How many force arrows are shown in this diagram?,1
fbd_0638_q2,Basic Relational Reasoning,fbd_0638.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0638_q3,Comparative Reasoning,fbd_0638.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0638_q4,Compound Reasoning,fbd_0638.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 157.94}"
fbd_0638_q5,Extrapolative/Counterfactual Reasoning,fbd_0638.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0639_q1,Image Description,fbd_0639.png,How many force arrows are shown in this diagram?,3
fbd_0639_q2,Basic Relational Reasoning,fbd_0639.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0639_q3,Comparative Reasoning,fbd_0639.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0639_q4,Compound Reasoning,fbd_0639.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 170.01}"
fbd_0639_q5,Extrapolative/Counterfactual Reasoning,fbd_0639.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0640_q1,Image Description,fbd_0640.png,How many force arrows are shown in this diagram?,3
fbd_0640_q2,Basic Relational Reasoning,fbd_0640.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0640_q3,Comparative Reasoning,fbd_0640.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0640_q4,Compound Reasoning,fbd_0640.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0}"
fbd_0640_q5,Extrapolative/Counterfactual Reasoning,fbd_0640.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0641_q1,Image Description,fbd_0641.png,How many force arrows are shown in this diagram?,1
fbd_0641_q2,Basic Relational Reasoning,fbd_0641.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0641_q3,Comparative Reasoning,fbd_0641.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0641_q4,Compound Reasoning,fbd_0641.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 118.9}"
fbd_0641_q5,Extrapolative/Counterfactual Reasoning,fbd_0641.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0642_q1,Image Description,fbd_0642.png,How many force arrows are shown in this diagram?,2
fbd_0642_q2,Basic Relational Reasoning,fbd_0642.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0642_q3,Comparative Reasoning,fbd_0642.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0642_q4,Compound Reasoning,fbd_0642.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36}"
fbd_0642_q5,Extrapolative/Counterfactual Reasoning,fbd_0642.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_0643_q1,Image Description,fbd_0643.png,How many force arrows are shown in this diagram?,4
fbd_0643_q2,Basic Relational Reasoning,fbd_0643.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0643_q3,Comparative Reasoning,fbd_0643.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0643_q4,Compound Reasoning,fbd_0643.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 121.0, 'magnitude': 124.534494}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 156.0, 'magnitude': 124.534494}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0643_q5,Extrapolative/Counterfactual Reasoning,fbd_0643.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0644_q1,Image Description,fbd_0644.png,How many force arrows are shown in this diagram?,2
fbd_0644_q2,Basic Relational Reasoning,fbd_0644.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0644_q3,Comparative Reasoning,fbd_0644.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0644_q4,Compound Reasoning,fbd_0644.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 135.08, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 135.0837}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 189.11718}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0644_q5,Extrapolative/Counterfactual Reasoning,fbd_0644.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0645_q1,Image Description,fbd_0645.png,How many force arrows are shown in this diagram?,4
fbd_0645_q2,Basic Relational Reasoning,fbd_0645.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0645_q3,Comparative Reasoning,fbd_0645.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0645_q4,Compound Reasoning,fbd_0645.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 89.76, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 89.7615}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 89.7615}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0645_q5,Extrapolative/Counterfactual Reasoning,fbd_0645.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0646_q1,Image Description,fbd_0646.png,How many force arrows are shown in this diagram?,4
fbd_0646_q2,Basic Relational Reasoning,fbd_0646.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0646_q3,Comparative Reasoning,fbd_0646.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0646_q4,Compound Reasoning,fbd_0646.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 248.78}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 348.292}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0646_q5,Extrapolative/Counterfactual Reasoning,fbd_0646.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0647_q1,Image Description,fbd_0647.png,How many force arrows are shown in this diagram?,2
fbd_0647_q2,Basic Relational Reasoning,fbd_0647.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0647_q3,Comparative Reasoning,fbd_0647.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0647_q4,Compound Reasoning,fbd_0647.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 200.91, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 200.9088}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 200.9088}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0647_q5,Extrapolative/Counterfactual Reasoning,fbd_0647.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0648_q1,Image Description,fbd_0648.png,How many force arrows are shown in this diagram?,3
fbd_0648_q2,Basic Relational Reasoning,fbd_0648.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0648_q3,Comparative Reasoning,fbd_0648.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0648_q4,Compound Reasoning,fbd_0648.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 65.0, 'magnitude': 144.654608}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 65.0, 'magnitude': 202.516451}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0648_q5,Extrapolative/Counterfactual Reasoning,fbd_0648.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_0649_q1,Image Description,fbd_0649.png,How many force arrows are shown in this diagram?,4
fbd_0649_q2,Basic Relational Reasoning,fbd_0649.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0649_q3,Comparative Reasoning,fbd_0649.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0649_q4,Compound Reasoning,fbd_0649.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_0649_q5,Extrapolative/Counterfactual Reasoning,fbd_0649.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0650_q1,Image Description,fbd_0650.png,How many force arrows are shown in this diagram?,2
fbd_0650_q2,Basic Relational Reasoning,fbd_0650.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0650_q3,Comparative Reasoning,fbd_0650.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0650_q4,Compound Reasoning,fbd_0650.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 108.11}"
fbd_0650_q5,Extrapolative/Counterfactual Reasoning,fbd_0650.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0651_q1,Image Description,fbd_0651.png,How many force arrows are shown in this diagram?,4
fbd_0651_q2,Basic Relational Reasoning,fbd_0651.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0651_q3,Comparative Reasoning,fbd_0651.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0651_q4,Compound Reasoning,fbd_0651.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 65.73}"
fbd_0651_q5,Extrapolative/Counterfactual Reasoning,fbd_0651.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0652_q1,Image Description,fbd_0652.png,How many force arrows are shown in this diagram?,4
fbd_0652_q2,Basic Relational Reasoning,fbd_0652.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0652_q3,Comparative Reasoning,fbd_0652.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0652_q4,Compound Reasoning,fbd_0652.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 0.0}"
fbd_0652_q5,Extrapolative/Counterfactual Reasoning,fbd_0652.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0653_q1,Image Description,fbd_0653.png,How many force arrows are shown in this diagram?,2
fbd_0653_q2,Basic Relational Reasoning,fbd_0653.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0653_q3,Comparative Reasoning,fbd_0653.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0653_q4,Compound Reasoning,fbd_0653.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 175.01}"
fbd_0653_q5,Extrapolative/Counterfactual Reasoning,fbd_0653.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0654_q1,Image Description,fbd_0654.png,How many force arrows are shown in this diagram?,3
fbd_0654_q2,Basic Relational Reasoning,fbd_0654.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0654_q3,Comparative Reasoning,fbd_0654.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0654_q4,Compound Reasoning,fbd_0654.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_0654_q5,Extrapolative/Counterfactual Reasoning,fbd_0654.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_0655_q1,Image Description,fbd_0655.png,How many force arrows are shown in this diagram?,4
fbd_0655_q2,Basic Relational Reasoning,fbd_0655.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0655_q3,Comparative Reasoning,fbd_0655.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0655_q4,Compound Reasoning,fbd_0655.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 43.21, 'required_friction_coefficient': 0.47}"
fbd_0655_q5,Extrapolative/Counterfactual Reasoning,fbd_0655.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0656_q1,Image Description,fbd_0656.png,How many force arrows are shown in this diagram?,2
fbd_0656_q2,Basic Relational Reasoning,fbd_0656.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0656_q3,Comparative Reasoning,fbd_0656.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0656_q4,Compound Reasoning,fbd_0656.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 41.79, 'tension_magnitude': 121.55}"
fbd_0656_q5,Extrapolative/Counterfactual Reasoning,fbd_0656.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0657_q1,Image Description,fbd_0657.png,How many force arrows are shown in this diagram?,4
fbd_0657_q2,Basic Relational Reasoning,fbd_0657.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0657_q3,Comparative Reasoning,fbd_0657.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0657_q4,Compound Reasoning,fbd_0657.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 32.79, 'tension_magnitude': 185.04}"
fbd_0657_q5,Extrapolative/Counterfactual Reasoning,fbd_0657.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0658_q1,Image Description,fbd_0658.png,How many force arrows are shown in this diagram?,4
fbd_0658_q2,Basic Relational Reasoning,fbd_0658.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0658_q3,Comparative Reasoning,fbd_0658.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0658_q4,Compound Reasoning,fbd_0658.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.72, 'net_force_N': 45.71}"
fbd_0658_q5,Extrapolative/Counterfactual Reasoning,fbd_0658.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (338.3 degrees; 0=right, 90=up)"
fbd_0659_q1,Image Description,fbd_0659.png,How many force arrows are shown in this diagram?,2
fbd_0659_q2,Basic Relational Reasoning,fbd_0659.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0659_q3,Comparative Reasoning,fbd_0659.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0659_q4,Compound Reasoning,fbd_0659.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 24.46, 'support_force_magnitude': 197.12}"
fbd_0659_q5,Extrapolative/Counterfactual Reasoning,fbd_0659.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0660_q1,Image Description,fbd_0660.png,How many force arrows are shown in this diagram?,3
fbd_0660_q2,Basic Relational Reasoning,fbd_0660.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0660_q3,Comparative Reasoning,fbd_0660.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0660_q4,Compound Reasoning,fbd_0660.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 11.99, 'required_friction_coefficient': 0.27}"
fbd_0660_q5,Extrapolative/Counterfactual Reasoning,fbd_0660.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (255.1 degrees; 0=right, 90=up)"
fbd_0661_q1,Image Description,fbd_0661.png,How many force arrows are shown in this diagram?,3
fbd_0661_q2,Basic Relational Reasoning,fbd_0661.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0661_q3,Comparative Reasoning,fbd_0661.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0661_q4,Compound Reasoning,fbd_0661.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.69}"
fbd_0661_q5,Extrapolative/Counterfactual Reasoning,fbd_0661.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0662_q1,Image Description,fbd_0662.png,How many force arrows are shown in this diagram?,1
fbd_0662_q2,Basic Relational Reasoning,fbd_0662.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0662_q3,Comparative Reasoning,fbd_0662.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0662_q4,Compound Reasoning,fbd_0662.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 158.43}"
fbd_0662_q5,Extrapolative/Counterfactual Reasoning,fbd_0662.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0663_q1,Image Description,fbd_0663.png,How many force arrows are shown in this diagram?,3
fbd_0663_q2,Basic Relational Reasoning,fbd_0663.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0663_q3,Comparative Reasoning,fbd_0663.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0663_q4,Compound Reasoning,fbd_0663.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 198.36}"
fbd_0663_q5,Extrapolative/Counterfactual Reasoning,fbd_0663.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0664_q1,Image Description,fbd_0664.png,How many force arrows are shown in this diagram?,3
fbd_0664_q2,Basic Relational Reasoning,fbd_0664.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0664_q3,Comparative Reasoning,fbd_0664.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0664_q4,Compound Reasoning,fbd_0664.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0}"
fbd_0664_q5,Extrapolative/Counterfactual Reasoning,fbd_0664.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0665_q1,Image Description,fbd_0665.png,How many force arrows are shown in this diagram?,1
fbd_0665_q2,Basic Relational Reasoning,fbd_0665.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0665_q3,Comparative Reasoning,fbd_0665.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0665_q4,Compound Reasoning,fbd_0665.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 140.68}"
fbd_0665_q5,Extrapolative/Counterfactual Reasoning,fbd_0665.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0666_q1,Image Description,fbd_0666.png,How many force arrows are shown in this diagram?,2
fbd_0666_q2,Basic Relational Reasoning,fbd_0666.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0666_q3,Comparative Reasoning,fbd_0666.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0666_q4,Compound Reasoning,fbd_0666.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_0666_q5,Extrapolative/Counterfactual Reasoning,fbd_0666.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_0667_q1,Image Description,fbd_0667.png,How many force arrows are shown in this diagram?,4
fbd_0667_q2,Basic Relational Reasoning,fbd_0667.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0667_q3,Comparative Reasoning,fbd_0667.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0667_q4,Compound Reasoning,fbd_0667.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 121.0, 'magnitude': 64.327406}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 156.0, 'magnitude': 64.327406}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0667_q5,Extrapolative/Counterfactual Reasoning,fbd_0667.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0668_q1,Image Description,fbd_0668.png,How many force arrows are shown in this diagram?,2
fbd_0668_q2,Basic Relational Reasoning,fbd_0668.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0668_q3,Comparative Reasoning,fbd_0668.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0668_q4,Compound Reasoning,fbd_0668.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 131.36, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 131.3559}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 183.89826}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0668_q5,Extrapolative/Counterfactual Reasoning,fbd_0668.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0669_q1,Image Description,fbd_0669.png,How many force arrows are shown in this diagram?,4
fbd_0669_q2,Basic Relational Reasoning,fbd_0669.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0669_q3,Comparative Reasoning,fbd_0669.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0669_q4,Compound Reasoning,fbd_0669.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 106.24, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 106.2423}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 106.2423}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0669_q5,Extrapolative/Counterfactual Reasoning,fbd_0669.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0670_q1,Image Description,fbd_0670.png,How many force arrows are shown in this diagram?,4
fbd_0670_q2,Basic Relational Reasoning,fbd_0670.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0670_q3,Comparative Reasoning,fbd_0670.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0670_q4,Compound Reasoning,fbd_0670.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 259.02}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 362.628}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0670_q5,Extrapolative/Counterfactual Reasoning,fbd_0670.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0671_q1,Image Description,fbd_0671.png,How many force arrows are shown in this diagram?,2
fbd_0671_q2,Basic Relational Reasoning,fbd_0671.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0671_q3,Comparative Reasoning,fbd_0671.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0671_q4,Compound Reasoning,fbd_0671.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 184.72, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 184.7223}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 184.7223}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0671_q5,Extrapolative/Counterfactual Reasoning,fbd_0671.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0672_q1,Image Description,fbd_0672.png,How many force arrows are shown in this diagram?,3
fbd_0672_q2,Basic Relational Reasoning,fbd_0672.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0672_q3,Comparative Reasoning,fbd_0672.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0672_q4,Compound Reasoning,fbd_0672.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 71.0, 'magnitude': 58.250374}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 71.0, 'magnitude': 81.550524}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0672_q5,Extrapolative/Counterfactual Reasoning,fbd_0672.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_0673_q1,Image Description,fbd_0673.png,How many force arrows are shown in this diagram?,4
fbd_0673_q2,Basic Relational Reasoning,fbd_0673.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0673_q3,Comparative Reasoning,fbd_0673.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0673_q4,Compound Reasoning,fbd_0673.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_0673_q5,Extrapolative/Counterfactual Reasoning,fbd_0673.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0674_q1,Image Description,fbd_0674.png,How many force arrows are shown in this diagram?,2
fbd_0674_q2,Basic Relational Reasoning,fbd_0674.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0674_q3,Comparative Reasoning,fbd_0674.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0674_q4,Compound Reasoning,fbd_0674.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 122.53}"
fbd_0674_q5,Extrapolative/Counterfactual Reasoning,fbd_0674.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0675_q1,Image Description,fbd_0675.png,How many force arrows are shown in this diagram?,4
fbd_0675_q2,Basic Relational Reasoning,fbd_0675.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0675_q3,Comparative Reasoning,fbd_0675.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0675_q4,Compound Reasoning,fbd_0675.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 91.23}"
fbd_0675_q5,Extrapolative/Counterfactual Reasoning,fbd_0675.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0676_q1,Image Description,fbd_0676.png,How many force arrows are shown in this diagram?,4
fbd_0676_q2,Basic Relational Reasoning,fbd_0676.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0676_q3,Comparative Reasoning,fbd_0676.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0676_q4,Compound Reasoning,fbd_0676.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 0.0}"
fbd_0676_q5,Extrapolative/Counterfactual Reasoning,fbd_0676.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0677_q1,Image Description,fbd_0677.png,How many force arrows are shown in this diagram?,2
fbd_0677_q2,Basic Relational Reasoning,fbd_0677.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0677_q3,Comparative Reasoning,fbd_0677.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0677_q4,Compound Reasoning,fbd_0677.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 157.65}"
fbd_0677_q5,Extrapolative/Counterfactual Reasoning,fbd_0677.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0678_q1,Image Description,fbd_0678.png,How many force arrows are shown in this diagram?,3
fbd_0678_q2,Basic Relational Reasoning,fbd_0678.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0678_q3,Comparative Reasoning,fbd_0678.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0678_q4,Compound Reasoning,fbd_0678.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38}"
fbd_0678_q5,Extrapolative/Counterfactual Reasoning,fbd_0678.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_0679_q1,Image Description,fbd_0679.png,How many force arrows are shown in this diagram?,4
fbd_0679_q2,Basic Relational Reasoning,fbd_0679.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0679_q3,Comparative Reasoning,fbd_0679.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0679_q4,Compound Reasoning,fbd_0679.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 75.65, 'required_friction_coefficient': 0.58}"
fbd_0679_q5,Extrapolative/Counterfactual Reasoning,fbd_0679.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0680_q1,Image Description,fbd_0680.png,How many force arrows are shown in this diagram?,2
fbd_0680_q2,Basic Relational Reasoning,fbd_0680.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0680_q3,Comparative Reasoning,fbd_0680.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0680_q4,Compound Reasoning,fbd_0680.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 45.35, 'tension_magnitude': 109.65}"
fbd_0680_q5,Extrapolative/Counterfactual Reasoning,fbd_0680.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0681_q1,Image Description,fbd_0681.png,How many force arrows are shown in this diagram?,4
fbd_0681_q2,Basic Relational Reasoning,fbd_0681.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0681_q3,Comparative Reasoning,fbd_0681.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0681_q4,Compound Reasoning,fbd_0681.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 21.18, 'tension_magnitude': 144.98}"
fbd_0681_q5,Extrapolative/Counterfactual Reasoning,fbd_0681.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0682_q1,Image Description,fbd_0682.png,How many force arrows are shown in this diagram?,4
fbd_0682_q2,Basic Relational Reasoning,fbd_0682.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0682_q3,Comparative Reasoning,fbd_0682.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0682_q4,Compound Reasoning,fbd_0682.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.68, 'net_force_N': 94.22}"
fbd_0682_q5,Extrapolative/Counterfactual Reasoning,fbd_0682.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (335.5 degrees; 0=right, 90=up)"
fbd_0683_q1,Image Description,fbd_0683.png,How many force arrows are shown in this diagram?,2
fbd_0683_q2,Basic Relational Reasoning,fbd_0683.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0683_q3,Comparative Reasoning,fbd_0683.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0683_q4,Compound Reasoning,fbd_0683.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 19.16, 'support_force_magnitude': 102.09}"
fbd_0683_q5,Extrapolative/Counterfactual Reasoning,fbd_0683.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0684_q1,Image Description,fbd_0684.png,How many force arrows are shown in this diagram?,3
fbd_0684_q2,Basic Relational Reasoning,fbd_0684.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0684_q3,Comparative Reasoning,fbd_0684.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0684_q4,Compound Reasoning,fbd_0684.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 27.87, 'required_friction_coefficient': 0.21}"
fbd_0684_q5,Extrapolative/Counterfactual Reasoning,fbd_0684.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (258.1 degrees; 0=right, 90=up)"
fbd_0685_q1,Image Description,fbd_0685.png,How many force arrows are shown in this diagram?,3
fbd_0685_q2,Basic Relational Reasoning,fbd_0685.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0685_q3,Comparative Reasoning,fbd_0685.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0685_q4,Compound Reasoning,fbd_0685.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.44}"
fbd_0685_q5,Extrapolative/Counterfactual Reasoning,fbd_0685.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0686_q1,Image Description,fbd_0686.png,How many force arrows are shown in this diagram?,1
fbd_0686_q2,Basic Relational Reasoning,fbd_0686.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0686_q3,Comparative Reasoning,fbd_0686.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0686_q4,Compound Reasoning,fbd_0686.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 213.47}"
fbd_0686_q5,Extrapolative/Counterfactual Reasoning,fbd_0686.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0687_q1,Image Description,fbd_0687.png,How many force arrows are shown in this diagram?,3
fbd_0687_q2,Basic Relational Reasoning,fbd_0687.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0687_q3,Comparative Reasoning,fbd_0687.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0687_q4,Compound Reasoning,fbd_0687.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 122.53}"
fbd_0687_q5,Extrapolative/Counterfactual Reasoning,fbd_0687.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0688_q1,Image Description,fbd_0688.png,How many force arrows are shown in this diagram?,3
fbd_0688_q2,Basic Relational Reasoning,fbd_0688.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0688_q3,Comparative Reasoning,fbd_0688.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0688_q4,Compound Reasoning,fbd_0688.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0}"
fbd_0688_q5,Extrapolative/Counterfactual Reasoning,fbd_0688.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0689_q1,Image Description,fbd_0689.png,How many force arrows are shown in this diagram?,1
fbd_0689_q2,Basic Relational Reasoning,fbd_0689.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0689_q3,Comparative Reasoning,fbd_0689.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0689_q4,Compound Reasoning,fbd_0689.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 154.41}"
fbd_0689_q5,Extrapolative/Counterfactual Reasoning,fbd_0689.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0690_q1,Image Description,fbd_0690.png,How many force arrows are shown in this diagram?,2
fbd_0690_q2,Basic Relational Reasoning,fbd_0690.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0690_q3,Comparative Reasoning,fbd_0690.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0690_q4,Compound Reasoning,fbd_0690.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_0690_q5,Extrapolative/Counterfactual Reasoning,fbd_0690.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_0691_q1,Image Description,fbd_0691.png,How many force arrows are shown in this diagram?,4
fbd_0691_q2,Basic Relational Reasoning,fbd_0691.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0691_q3,Comparative Reasoning,fbd_0691.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0691_q4,Compound Reasoning,fbd_0691.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.46, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 117.0, 'magnitude': 148.855381}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 152.0, 'magnitude': 148.855381}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0691_q5,Extrapolative/Counterfactual Reasoning,fbd_0691.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0692_q1,Image Description,fbd_0692.png,How many force arrows are shown in this diagram?,2
fbd_0692_q2,Basic Relational Reasoning,fbd_0692.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0692_q3,Comparative Reasoning,fbd_0692.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0692_q4,Compound Reasoning,fbd_0692.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 196.0, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 196.0038}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 274.40532}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0692_q5,Extrapolative/Counterfactual Reasoning,fbd_0692.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0693_q1,Image Description,fbd_0693.png,How many force arrows are shown in this diagram?,4
fbd_0693_q2,Basic Relational Reasoning,fbd_0693.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0693_q3,Comparative Reasoning,fbd_0693.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0693_q4,Compound Reasoning,fbd_0693.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 134.5, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 134.4951}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 134.4951}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0693_q5,Extrapolative/Counterfactual Reasoning,fbd_0693.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0694_q1,Image Description,fbd_0694.png,How many force arrows are shown in this diagram?,4
fbd_0694_q2,Basic Relational Reasoning,fbd_0694.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0694_q3,Comparative Reasoning,fbd_0694.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0694_q4,Compound Reasoning,fbd_0694.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 308.18}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 431.452}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0694_q5,Extrapolative/Counterfactual Reasoning,fbd_0694.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0695_q1,Image Description,fbd_0695.png,How many force arrows are shown in this diagram?,2
fbd_0695_q2,Basic Relational Reasoning,fbd_0695.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0695_q3,Comparative Reasoning,fbd_0695.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0695_q4,Compound Reasoning,fbd_0695.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 110.85, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 110.853}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 110.853}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0695_q5,Extrapolative/Counterfactual Reasoning,fbd_0695.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0696_q1,Image Description,fbd_0696.png,How many force arrows are shown in this diagram?,3
fbd_0696_q2,Basic Relational Reasoning,fbd_0696.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0696_q3,Comparative Reasoning,fbd_0696.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0696_q4,Compound Reasoning,fbd_0696.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 71.0, 'magnitude': 80.511663}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 71.0, 'magnitude': 112.716328}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0696_q5,Extrapolative/Counterfactual Reasoning,fbd_0696.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_0697_q1,Image Description,fbd_0697.png,How many force arrows are shown in this diagram?,4
fbd_0697_q2,Basic Relational Reasoning,fbd_0697.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0697_q3,Comparative Reasoning,fbd_0697.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0697_q4,Compound Reasoning,fbd_0697.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_0697_q5,Extrapolative/Counterfactual Reasoning,fbd_0697.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0698_q1,Image Description,fbd_0698.png,How many force arrows are shown in this diagram?,2
fbd_0698_q2,Basic Relational Reasoning,fbd_0698.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0698_q3,Comparative Reasoning,fbd_0698.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0698_q4,Compound Reasoning,fbd_0698.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 193.85}"
fbd_0698_q5,Extrapolative/Counterfactual Reasoning,fbd_0698.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0699_q1,Image Description,fbd_0699.png,How many force arrows are shown in this diagram?,4
fbd_0699_q2,Basic Relational Reasoning,fbd_0699.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0699_q3,Comparative Reasoning,fbd_0699.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0699_q4,Compound Reasoning,fbd_0699.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 116.44}"
fbd_0699_q5,Extrapolative/Counterfactual Reasoning,fbd_0699.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0700_q1,Image Description,fbd_0700.png,How many force arrows are shown in this diagram?,4
fbd_0700_q2,Basic Relational Reasoning,fbd_0700.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0700_q3,Comparative Reasoning,fbd_0700.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0700_q4,Compound Reasoning,fbd_0700.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 0.0}"
fbd_0700_q5,Extrapolative/Counterfactual Reasoning,fbd_0700.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0701_q1,Image Description,fbd_0701.png,How many force arrows are shown in this diagram?,2
fbd_0701_q2,Basic Relational Reasoning,fbd_0701.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0701_q3,Comparative Reasoning,fbd_0701.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0701_q4,Compound Reasoning,fbd_0701.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 176.09}"
fbd_0701_q5,Extrapolative/Counterfactual Reasoning,fbd_0701.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0702_q1,Image Description,fbd_0702.png,How many force arrows are shown in this diagram?,3
fbd_0702_q2,Basic Relational Reasoning,fbd_0702.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0702_q3,Comparative Reasoning,fbd_0702.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0702_q4,Compound Reasoning,fbd_0702.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53}"
fbd_0702_q5,Extrapolative/Counterfactual Reasoning,fbd_0702.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (242 degrees; 0=right, 90=up)"
fbd_0703_q1,Image Description,fbd_0703.png,How many force arrows are shown in this diagram?,4
fbd_0703_q2,Basic Relational Reasoning,fbd_0703.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0703_q3,Comparative Reasoning,fbd_0703.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0703_q4,Compound Reasoning,fbd_0703.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 16.25, 'required_friction_coefficient': 0.44}"
fbd_0703_q5,Extrapolative/Counterfactual Reasoning,fbd_0703.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0704_q1,Image Description,fbd_0704.png,How many force arrows are shown in this diagram?,2
fbd_0704_q2,Basic Relational Reasoning,fbd_0704.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0704_q3,Comparative Reasoning,fbd_0704.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0704_q4,Compound Reasoning,fbd_0704.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 35.4, 'tension_magnitude': 155.41}"
fbd_0704_q5,Extrapolative/Counterfactual Reasoning,fbd_0704.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0705_q1,Image Description,fbd_0705.png,How many force arrows are shown in this diagram?,4
fbd_0705_q2,Basic Relational Reasoning,fbd_0705.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0705_q3,Comparative Reasoning,fbd_0705.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0705_q4,Compound Reasoning,fbd_0705.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 13.82, 'tension_magnitude': 195.11}"
fbd_0705_q5,Extrapolative/Counterfactual Reasoning,fbd_0705.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0706_q1,Image Description,fbd_0706.png,How many force arrows are shown in this diagram?,4
fbd_0706_q2,Basic Relational Reasoning,fbd_0706.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0706_q3,Comparative Reasoning,fbd_0706.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0706_q4,Compound Reasoning,fbd_0706.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 78.22}"
fbd_0706_q5,Extrapolative/Counterfactual Reasoning,fbd_0706.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (344.8 degrees; 0=right, 90=up)"
fbd_0707_q1,Image Description,fbd_0707.png,How many force arrows are shown in this diagram?,2
fbd_0707_q2,Basic Relational Reasoning,fbd_0707.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0707_q3,Comparative Reasoning,fbd_0707.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0707_q4,Compound Reasoning,fbd_0707.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 12.75, 'support_force_magnitude': 74.36}"
fbd_0707_q5,Extrapolative/Counterfactual Reasoning,fbd_0707.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0708_q1,Image Description,fbd_0708.png,How many force arrows are shown in this diagram?,3
fbd_0708_q2,Basic Relational Reasoning,fbd_0708.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0708_q3,Comparative Reasoning,fbd_0708.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0708_q4,Compound Reasoning,fbd_0708.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 22.35, 'required_friction_coefficient': 0.23}"
fbd_0708_q5,Extrapolative/Counterfactual Reasoning,fbd_0708.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (256.9 degrees; 0=right, 90=up)"
fbd_0709_q1,Image Description,fbd_0709.png,How many force arrows are shown in this diagram?,3
fbd_0709_q2,Basic Relational Reasoning,fbd_0709.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0709_q3,Comparative Reasoning,fbd_0709.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0709_q4,Compound Reasoning,fbd_0709.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_0709_q5,Extrapolative/Counterfactual Reasoning,fbd_0709.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0710_q1,Image Description,fbd_0710.png,How many force arrows are shown in this diagram?,1
fbd_0710_q2,Basic Relational Reasoning,fbd_0710.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0710_q3,Comparative Reasoning,fbd_0710.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0710_q4,Compound Reasoning,fbd_0710.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 118.6}"
fbd_0710_q5,Extrapolative/Counterfactual Reasoning,fbd_0710.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0711_q1,Image Description,fbd_0711.png,How many force arrows are shown in this diagram?,3
fbd_0711_q2,Basic Relational Reasoning,fbd_0711.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0711_q3,Comparative Reasoning,fbd_0711.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0711_q4,Compound Reasoning,fbd_0711.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 155.39}"
fbd_0711_q5,Extrapolative/Counterfactual Reasoning,fbd_0711.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0712_q1,Image Description,fbd_0712.png,How many force arrows are shown in this diagram?,3
fbd_0712_q2,Basic Relational Reasoning,fbd_0712.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0712_q3,Comparative Reasoning,fbd_0712.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0712_q4,Compound Reasoning,fbd_0712.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0}"
fbd_0712_q5,Extrapolative/Counterfactual Reasoning,fbd_0712.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0713_q1,Image Description,fbd_0713.png,How many force arrows are shown in this diagram?,1
fbd_0713_q2,Basic Relational Reasoning,fbd_0713.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0713_q3,Comparative Reasoning,fbd_0713.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0713_q4,Compound Reasoning,fbd_0713.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 120.07}"
fbd_0713_q5,Extrapolative/Counterfactual Reasoning,fbd_0713.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0714_q1,Image Description,fbd_0714.png,How many force arrows are shown in this diagram?,2
fbd_0714_q2,Basic Relational Reasoning,fbd_0714.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0714_q3,Comparative Reasoning,fbd_0714.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0714_q4,Compound Reasoning,fbd_0714.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_0714_q5,Extrapolative/Counterfactual Reasoning,fbd_0714.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_0715_q1,Image Description,fbd_0715.png,How many force arrows are shown in this diagram?,4
fbd_0715_q2,Basic Relational Reasoning,fbd_0715.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0715_q3,Comparative Reasoning,fbd_0715.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0715_q4,Compound Reasoning,fbd_0715.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.43, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 117.0, 'magnitude': 124.206399}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 152.0, 'magnitude': 124.206399}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0715_q5,Extrapolative/Counterfactual Reasoning,fbd_0715.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0716_q1,Image Description,fbd_0716.png,How many force arrows are shown in this diagram?,2
fbd_0716_q2,Basic Relational Reasoning,fbd_0716.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0716_q3,Comparative Reasoning,fbd_0716.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0716_q4,Compound Reasoning,fbd_0716.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 84.56, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 84.5622}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 118.38708}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0716_q5,Extrapolative/Counterfactual Reasoning,fbd_0716.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0717_q1,Image Description,fbd_0717.png,How many force arrows are shown in this diagram?,4
fbd_0717_q2,Basic Relational Reasoning,fbd_0717.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0717_q3,Comparative Reasoning,fbd_0717.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0717_q4,Compound Reasoning,fbd_0717.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 96.24, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 96.2361}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 96.2361}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0717_q5,Extrapolative/Counterfactual Reasoning,fbd_0717.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0718_q1,Image Description,fbd_0718.png,How many force arrows are shown in this diagram?,4
fbd_0718_q2,Basic Relational Reasoning,fbd_0718.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0718_q3,Comparative Reasoning,fbd_0718.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0718_q4,Compound Reasoning,fbd_0718.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 169.1}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 236.74}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0718_q5,Extrapolative/Counterfactual Reasoning,fbd_0718.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0719_q1,Image Description,fbd_0719.png,How many force arrows are shown in this diagram?,2
fbd_0719_q2,Basic Relational Reasoning,fbd_0719.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0719_q3,Comparative Reasoning,fbd_0719.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0719_q4,Compound Reasoning,fbd_0719.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 102.22, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 102.2202}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 102.2202}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0719_q5,Extrapolative/Counterfactual Reasoning,fbd_0719.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0720_q1,Image Description,fbd_0720.png,How many force arrows are shown in this diagram?,3
fbd_0720_q2,Basic Relational Reasoning,fbd_0720.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0720_q3,Comparative Reasoning,fbd_0720.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0720_q4,Compound Reasoning,fbd_0720.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.32, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 72.0, 'magnitude': 167.564365}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 72.0, 'magnitude': 234.590111}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0720_q5,Extrapolative/Counterfactual Reasoning,fbd_0720.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_0721_q1,Image Description,fbd_0721.png,How many force arrows are shown in this diagram?,4
fbd_0721_q2,Basic Relational Reasoning,fbd_0721.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0721_q3,Comparative Reasoning,fbd_0721.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0721_q4,Compound Reasoning,fbd_0721.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.54}"
fbd_0721_q5,Extrapolative/Counterfactual Reasoning,fbd_0721.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0722_q1,Image Description,fbd_0722.png,How many force arrows are shown in this diagram?,2
fbd_0722_q2,Basic Relational Reasoning,fbd_0722.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0722_q3,Comparative Reasoning,fbd_0722.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0722_q4,Compound Reasoning,fbd_0722.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 154.7}"
fbd_0722_q5,Extrapolative/Counterfactual Reasoning,fbd_0722.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0723_q1,Image Description,fbd_0723.png,How many force arrows are shown in this diagram?,4
fbd_0723_q2,Basic Relational Reasoning,fbd_0723.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0723_q3,Comparative Reasoning,fbd_0723.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0723_q4,Compound Reasoning,fbd_0723.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 144.01}"
fbd_0723_q5,Extrapolative/Counterfactual Reasoning,fbd_0723.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0724_q1,Image Description,fbd_0724.png,How many force arrows are shown in this diagram?,4
fbd_0724_q2,Basic Relational Reasoning,fbd_0724.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0724_q3,Comparative Reasoning,fbd_0724.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0724_q4,Compound Reasoning,fbd_0724.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 0.0}"
fbd_0724_q5,Extrapolative/Counterfactual Reasoning,fbd_0724.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0725_q1,Image Description,fbd_0725.png,How many force arrows are shown in this diagram?,2
fbd_0725_q2,Basic Relational Reasoning,fbd_0725.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0725_q3,Comparative Reasoning,fbd_0725.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0725_q4,Compound Reasoning,fbd_0725.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 72.3}"
fbd_0725_q5,Extrapolative/Counterfactual Reasoning,fbd_0725.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0726_q1,Image Description,fbd_0726.png,How many force arrows are shown in this diagram?,3
fbd_0726_q2,Basic Relational Reasoning,fbd_0726.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0726_q3,Comparative Reasoning,fbd_0726.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0726_q4,Compound Reasoning,fbd_0726.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38}"
fbd_0726_q5,Extrapolative/Counterfactual Reasoning,fbd_0726.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_0727_q1,Image Description,fbd_0727.png,How many force arrows are shown in this diagram?,4
fbd_0727_q2,Basic Relational Reasoning,fbd_0727.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0727_q3,Comparative Reasoning,fbd_0727.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0727_q4,Compound Reasoning,fbd_0727.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 46.45, 'required_friction_coefficient': 0.44}"
fbd_0727_q5,Extrapolative/Counterfactual Reasoning,fbd_0727.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0728_q1,Image Description,fbd_0728.png,How many force arrows are shown in this diagram?,2
fbd_0728_q2,Basic Relational Reasoning,fbd_0728.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0728_q3,Comparative Reasoning,fbd_0728.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0728_q4,Compound Reasoning,fbd_0728.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 40.78, 'tension_magnitude': 162.29}"
fbd_0728_q5,Extrapolative/Counterfactual Reasoning,fbd_0728.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0729_q1,Image Description,fbd_0729.png,How many force arrows are shown in this diagram?,4
fbd_0729_q2,Basic Relational Reasoning,fbd_0729.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0729_q3,Comparative Reasoning,fbd_0729.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0729_q4,Compound Reasoning,fbd_0729.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 22.49, 'tension_magnitude': 191.42}"
fbd_0729_q5,Extrapolative/Counterfactual Reasoning,fbd_0729.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0730_q1,Image Description,fbd_0730.png,How many force arrows are shown in this diagram?,4
fbd_0730_q2,Basic Relational Reasoning,fbd_0730.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0730_q3,Comparative Reasoning,fbd_0730.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0730_q4,Compound Reasoning,fbd_0730.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 31.98}"
fbd_0730_q5,Extrapolative/Counterfactual Reasoning,fbd_0730.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (349.9 degrees; 0=right, 90=up)"
fbd_0731_q1,Image Description,fbd_0731.png,How many force arrows are shown in this diagram?,2
fbd_0731_q2,Basic Relational Reasoning,fbd_0731.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0731_q3,Comparative Reasoning,fbd_0731.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0731_q4,Compound Reasoning,fbd_0731.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 52.47, 'support_force_magnitude': 119.69}"
fbd_0731_q5,Extrapolative/Counterfactual Reasoning,fbd_0731.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0732_q1,Image Description,fbd_0732.png,How many force arrows are shown in this diagram?,3
fbd_0732_q2,Basic Relational Reasoning,fbd_0732.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0732_q3,Comparative Reasoning,fbd_0732.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0732_q4,Compound Reasoning,fbd_0732.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 40.64, 'required_friction_coefficient': 0.27}"
fbd_0732_q5,Extrapolative/Counterfactual Reasoning,fbd_0732.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (255 degrees; 0=right, 90=up)"
fbd_0733_q1,Image Description,fbd_0733.png,How many force arrows are shown in this diagram?,3
fbd_0733_q2,Basic Relational Reasoning,fbd_0733.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0733_q3,Comparative Reasoning,fbd_0733.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0733_q4,Compound Reasoning,fbd_0733.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.61}"
fbd_0733_q5,Extrapolative/Counterfactual Reasoning,fbd_0733.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0734_q1,Image Description,fbd_0734.png,How many force arrows are shown in this diagram?,1
fbd_0734_q2,Basic Relational Reasoning,fbd_0734.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0734_q3,Comparative Reasoning,fbd_0734.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0734_q4,Compound Reasoning,fbd_0734.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 165.59}"
fbd_0734_q5,Extrapolative/Counterfactual Reasoning,fbd_0734.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0735_q1,Image Description,fbd_0735.png,How many force arrows are shown in this diagram?,3
fbd_0735_q2,Basic Relational Reasoning,fbd_0735.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0735_q3,Comparative Reasoning,fbd_0735.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0735_q4,Compound Reasoning,fbd_0735.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 125.67}"
fbd_0735_q5,Extrapolative/Counterfactual Reasoning,fbd_0735.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0736_q1,Image Description,fbd_0736.png,How many force arrows are shown in this diagram?,3
fbd_0736_q2,Basic Relational Reasoning,fbd_0736.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0736_q3,Comparative Reasoning,fbd_0736.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0736_q4,Compound Reasoning,fbd_0736.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.72, 'net_force_N': 0.0}"
fbd_0736_q5,Extrapolative/Counterfactual Reasoning,fbd_0736.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0737_q1,Image Description,fbd_0737.png,How many force arrows are shown in this diagram?,1
fbd_0737_q2,Basic Relational Reasoning,fbd_0737.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0737_q3,Comparative Reasoning,fbd_0737.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0737_q4,Compound Reasoning,fbd_0737.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 59.25}"
fbd_0737_q5,Extrapolative/Counterfactual Reasoning,fbd_0737.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0738_q1,Image Description,fbd_0738.png,How many force arrows are shown in this diagram?,2
fbd_0738_q2,Basic Relational Reasoning,fbd_0738.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0738_q3,Comparative Reasoning,fbd_0738.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0738_q4,Compound Reasoning,fbd_0738.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_0738_q5,Extrapolative/Counterfactual Reasoning,fbd_0738.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_0739_q1,Image Description,fbd_0739.png,How many force arrows are shown in this diagram?,4
fbd_0739_q2,Basic Relational Reasoning,fbd_0739.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0739_q3,Comparative Reasoning,fbd_0739.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0739_q4,Compound Reasoning,fbd_0739.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.64, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 126.0, 'magnitude': 72.380485}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 161.0, 'magnitude': 72.380485}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0739_q5,Extrapolative/Counterfactual Reasoning,fbd_0739.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0740_q1,Image Description,fbd_0740.png,How many force arrows are shown in this diagram?,2
fbd_0740_q2,Basic Relational Reasoning,fbd_0740.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0740_q3,Comparative Reasoning,fbd_0740.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0740_q4,Compound Reasoning,fbd_0740.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 149.11, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 149.112}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 208.7568}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0740_q5,Extrapolative/Counterfactual Reasoning,fbd_0740.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0741_q1,Image Description,fbd_0741.png,How many force arrows are shown in this diagram?,4
fbd_0741_q2,Basic Relational Reasoning,fbd_0741.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0741_q3,Comparative Reasoning,fbd_0741.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0741_q4,Compound Reasoning,fbd_0741.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 93.49, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 93.4893}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 93.4893}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0741_q5,Extrapolative/Counterfactual Reasoning,fbd_0741.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0742_q1,Image Description,fbd_0742.png,How many force arrows are shown in this diagram?,4
fbd_0742_q2,Basic Relational Reasoning,fbd_0742.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0742_q3,Comparative Reasoning,fbd_0742.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0742_q4,Compound Reasoning,fbd_0742.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 188.63}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 264.082}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0742_q5,Extrapolative/Counterfactual Reasoning,fbd_0742.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0743_q1,Image Description,fbd_0743.png,How many force arrows are shown in this diagram?,2
fbd_0743_q2,Basic Relational Reasoning,fbd_0743.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0743_q3,Comparative Reasoning,fbd_0743.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0743_q4,Compound Reasoning,fbd_0743.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 168.73, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 168.732}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 168.732}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0743_q5,Extrapolative/Counterfactual Reasoning,fbd_0743.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0744_q1,Image Description,fbd_0744.png,How many force arrows are shown in this diagram?,3
fbd_0744_q2,Basic Relational Reasoning,fbd_0744.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0744_q3,Comparative Reasoning,fbd_0744.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0744_q4,Compound Reasoning,fbd_0744.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 66.0, 'magnitude': 98.042977}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 66.0, 'magnitude': 137.260168}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0744_q5,Extrapolative/Counterfactual Reasoning,fbd_0744.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (246 degrees; 0=right, 90=up)"
fbd_0745_q1,Image Description,fbd_0745.png,How many force arrows are shown in this diagram?,4
fbd_0745_q2,Basic Relational Reasoning,fbd_0745.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0745_q3,Comparative Reasoning,fbd_0745.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0745_q4,Compound Reasoning,fbd_0745.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.61}"
fbd_0745_q5,Extrapolative/Counterfactual Reasoning,fbd_0745.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0746_q1,Image Description,fbd_0746.png,How many force arrows are shown in this diagram?,2
fbd_0746_q2,Basic Relational Reasoning,fbd_0746.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0746_q3,Comparative Reasoning,fbd_0746.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0746_q4,Compound Reasoning,fbd_0746.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 125.37}"
fbd_0746_q5,Extrapolative/Counterfactual Reasoning,fbd_0746.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0747_q1,Image Description,fbd_0747.png,How many force arrows are shown in this diagram?,4
fbd_0747_q2,Basic Relational Reasoning,fbd_0747.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0747_q3,Comparative Reasoning,fbd_0747.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0747_q4,Compound Reasoning,fbd_0747.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 105.75}"
fbd_0747_q5,Extrapolative/Counterfactual Reasoning,fbd_0747.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0748_q1,Image Description,fbd_0748.png,How many force arrows are shown in this diagram?,4
fbd_0748_q2,Basic Relational Reasoning,fbd_0748.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0748_q3,Comparative Reasoning,fbd_0748.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0748_q4,Compound Reasoning,fbd_0748.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 0.0}"
fbd_0748_q5,Extrapolative/Counterfactual Reasoning,fbd_0748.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0749_q1,Image Description,fbd_0749.png,How many force arrows are shown in this diagram?,2
fbd_0749_q2,Basic Relational Reasoning,fbd_0749.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0749_q3,Comparative Reasoning,fbd_0749.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0749_q4,Compound Reasoning,fbd_0749.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 178.25}"
fbd_0749_q5,Extrapolative/Counterfactual Reasoning,fbd_0749.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0750_q1,Image Description,fbd_0750.png,How many force arrows are shown in this diagram?,3
fbd_0750_q2,Basic Relational Reasoning,fbd_0750.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0750_q3,Comparative Reasoning,fbd_0750.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0750_q4,Compound Reasoning,fbd_0750.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.32}"
fbd_0750_q5,Extrapolative/Counterfactual Reasoning,fbd_0750.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_0751_q1,Image Description,fbd_0751.png,How many force arrows are shown in this diagram?,4
fbd_0751_q2,Basic Relational Reasoning,fbd_0751.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0751_q3,Comparative Reasoning,fbd_0751.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0751_q4,Compound Reasoning,fbd_0751.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 55.29, 'required_friction_coefficient': 0.59}"
fbd_0751_q5,Extrapolative/Counterfactual Reasoning,fbd_0751.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0752_q1,Image Description,fbd_0752.png,How many force arrows are shown in this diagram?,2
fbd_0752_q2,Basic Relational Reasoning,fbd_0752.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0752_q3,Comparative Reasoning,fbd_0752.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0752_q4,Compound Reasoning,fbd_0752.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 36.79, 'tension_magnitude': 103.1}"
fbd_0752_q5,Extrapolative/Counterfactual Reasoning,fbd_0752.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0753_q1,Image Description,fbd_0753.png,How many force arrows are shown in this diagram?,4
fbd_0753_q2,Basic Relational Reasoning,fbd_0753.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0753_q3,Comparative Reasoning,fbd_0753.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0753_q4,Compound Reasoning,fbd_0753.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 15.66, 'tension_magnitude': 194.6}"
fbd_0753_q5,Extrapolative/Counterfactual Reasoning,fbd_0753.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0754_q1,Image Description,fbd_0754.png,How many force arrows are shown in this diagram?,4
fbd_0754_q2,Basic Relational Reasoning,fbd_0754.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0754_q3,Comparative Reasoning,fbd_0754.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0754_q4,Compound Reasoning,fbd_0754.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 51.98}"
fbd_0754_q5,Extrapolative/Counterfactual Reasoning,fbd_0754.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (339.8 degrees; 0=right, 90=up)"
fbd_0755_q1,Image Description,fbd_0755.png,How many force arrows are shown in this diagram?,2
fbd_0755_q2,Basic Relational Reasoning,fbd_0755.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0755_q3,Comparative Reasoning,fbd_0755.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0755_q4,Compound Reasoning,fbd_0755.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 33.17, 'support_force_magnitude': 229.17}"
fbd_0755_q5,Extrapolative/Counterfactual Reasoning,fbd_0755.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0756_q1,Image Description,fbd_0756.png,How many force arrows are shown in this diagram?,3
fbd_0756_q2,Basic Relational Reasoning,fbd_0756.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0756_q3,Comparative Reasoning,fbd_0756.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0756_q4,Compound Reasoning,fbd_0756.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 32.1, 'required_friction_coefficient': 0.11}"
fbd_0756_q5,Extrapolative/Counterfactual Reasoning,fbd_0756.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (263.8 degrees; 0=right, 90=up)"
fbd_0757_q1,Image Description,fbd_0757.png,How many force arrows are shown in this diagram?,3
fbd_0757_q2,Basic Relational Reasoning,fbd_0757.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0757_q3,Comparative Reasoning,fbd_0757.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0757_q4,Compound Reasoning,fbd_0757.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45}"
fbd_0757_q5,Extrapolative/Counterfactual Reasoning,fbd_0757.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0758_q1,Image Description,fbd_0758.png,How many force arrows are shown in this diagram?,1
fbd_0758_q2,Basic Relational Reasoning,fbd_0758.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0758_q3,Comparative Reasoning,fbd_0758.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0758_q4,Compound Reasoning,fbd_0758.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 110.85}"
fbd_0758_q5,Extrapolative/Counterfactual Reasoning,fbd_0758.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0759_q1,Image Description,fbd_0759.png,How many force arrows are shown in this diagram?,3
fbd_0759_q2,Basic Relational Reasoning,fbd_0759.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0759_q3,Comparative Reasoning,fbd_0759.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0759_q4,Compound Reasoning,fbd_0759.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 68.08}"
fbd_0759_q5,Extrapolative/Counterfactual Reasoning,fbd_0759.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0760_q1,Image Description,fbd_0760.png,How many force arrows are shown in this diagram?,3
fbd_0760_q2,Basic Relational Reasoning,fbd_0760.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0760_q3,Comparative Reasoning,fbd_0760.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0760_q4,Compound Reasoning,fbd_0760.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 0.0}"
fbd_0760_q5,Extrapolative/Counterfactual Reasoning,fbd_0760.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0761_q1,Image Description,fbd_0761.png,How many force arrows are shown in this diagram?,1
fbd_0761_q2,Basic Relational Reasoning,fbd_0761.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0761_q3,Comparative Reasoning,fbd_0761.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0761_q4,Compound Reasoning,fbd_0761.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 94.18}"
fbd_0761_q5,Extrapolative/Counterfactual Reasoning,fbd_0761.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0762_q1,Image Description,fbd_0762.png,How many force arrows are shown in this diagram?,2
fbd_0762_q2,Basic Relational Reasoning,fbd_0762.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0762_q3,Comparative Reasoning,fbd_0762.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0762_q4,Compound Reasoning,fbd_0762.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38}"
fbd_0762_q5,Extrapolative/Counterfactual Reasoning,fbd_0762.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_0763_q1,Image Description,fbd_0763.png,How many force arrows are shown in this diagram?,4
fbd_0763_q2,Basic Relational Reasoning,fbd_0763.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0763_q3,Comparative Reasoning,fbd_0763.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0763_q4,Compound Reasoning,fbd_0763.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.57, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 122.0, 'magnitude': 132.527275}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 157.0, 'magnitude': 132.527275}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0763_q5,Extrapolative/Counterfactual Reasoning,fbd_0763.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0764_q1,Image Description,fbd_0764.png,How many force arrows are shown in this diagram?,2
fbd_0764_q2,Basic Relational Reasoning,fbd_0764.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0764_q3,Comparative Reasoning,fbd_0764.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0764_q4,Compound Reasoning,fbd_0764.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 215.62, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 215.6238}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 301.87332}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0764_q5,Extrapolative/Counterfactual Reasoning,fbd_0764.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0765_q1,Image Description,fbd_0765.png,How many force arrows are shown in this diagram?,4
fbd_0765_q2,Basic Relational Reasoning,fbd_0765.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0765_q3,Comparative Reasoning,fbd_0765.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0765_q4,Compound Reasoning,fbd_0765.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 64.16, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 64.1574}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 64.1574}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0765_q5,Extrapolative/Counterfactual Reasoning,fbd_0765.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0766_q1,Image Description,fbd_0766.png,How many force arrows are shown in this diagram?,4
fbd_0766_q2,Basic Relational Reasoning,fbd_0766.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0766_q3,Comparative Reasoning,fbd_0766.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0766_q4,Compound Reasoning,fbd_0766.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 183.44}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 256.816}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0766_q5,Extrapolative/Counterfactual Reasoning,fbd_0766.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0767_q1,Image Description,fbd_0767.png,How many force arrows are shown in this diagram?,2
fbd_0767_q2,Basic Relational Reasoning,fbd_0767.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0767_q3,Comparative Reasoning,fbd_0767.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0767_q4,Compound Reasoning,fbd_0767.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 190.9, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 190.9026}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 190.9026}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0767_q5,Extrapolative/Counterfactual Reasoning,fbd_0767.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0768_q1,Image Description,fbd_0768.png,How many force arrows are shown in this diagram?,3
fbd_0768_q2,Basic Relational Reasoning,fbd_0768.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0768_q3,Comparative Reasoning,fbd_0768.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0768_q4,Compound Reasoning,fbd_0768.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 67.0, 'magnitude': 66.823129}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 67.0, 'magnitude': 93.552381}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0768_q5,Extrapolative/Counterfactual Reasoning,fbd_0768.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_0769_q1,Image Description,fbd_0769.png,How many force arrows are shown in this diagram?,4
fbd_0769_q2,Basic Relational Reasoning,fbd_0769.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0769_q3,Comparative Reasoning,fbd_0769.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0769_q4,Compound Reasoning,fbd_0769.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_0769_q5,Extrapolative/Counterfactual Reasoning,fbd_0769.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0770_q1,Image Description,fbd_0770.png,How many force arrows are shown in this diagram?,2
fbd_0770_q2,Basic Relational Reasoning,fbd_0770.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0770_q3,Comparative Reasoning,fbd_0770.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0770_q4,Compound Reasoning,fbd_0770.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 118.7}"
fbd_0770_q5,Extrapolative/Counterfactual Reasoning,fbd_0770.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0771_q1,Image Description,fbd_0771.png,How many force arrows are shown in this diagram?,4
fbd_0771_q2,Basic Relational Reasoning,fbd_0771.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0771_q3,Comparative Reasoning,fbd_0771.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0771_q4,Compound Reasoning,fbd_0771.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 211.6}"
fbd_0771_q5,Extrapolative/Counterfactual Reasoning,fbd_0771.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0772_q1,Image Description,fbd_0772.png,How many force arrows are shown in this diagram?,4
fbd_0772_q2,Basic Relational Reasoning,fbd_0772.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0772_q3,Comparative Reasoning,fbd_0772.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0772_q4,Compound Reasoning,fbd_0772.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 0.0}"
fbd_0772_q5,Extrapolative/Counterfactual Reasoning,fbd_0772.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0773_q1,Image Description,fbd_0773.png,How many force arrows are shown in this diagram?,2
fbd_0773_q2,Basic Relational Reasoning,fbd_0773.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0773_q3,Comparative Reasoning,fbd_0773.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0773_q4,Compound Reasoning,fbd_0773.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 85.84}"
fbd_0773_q5,Extrapolative/Counterfactual Reasoning,fbd_0773.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0774_q1,Image Description,fbd_0774.png,How many force arrows are shown in this diagram?,3
fbd_0774_q2,Basic Relational Reasoning,fbd_0774.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0774_q3,Comparative Reasoning,fbd_0774.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0774_q4,Compound Reasoning,fbd_0774.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_0774_q5,Extrapolative/Counterfactual Reasoning,fbd_0774.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_0775_q1,Image Description,fbd_0775.png,How many force arrows are shown in this diagram?,4
fbd_0775_q2,Basic Relational Reasoning,fbd_0775.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0775_q3,Comparative Reasoning,fbd_0775.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0775_q4,Compound Reasoning,fbd_0775.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 26.7, 'required_friction_coefficient': 0.39}"
fbd_0775_q5,Extrapolative/Counterfactual Reasoning,fbd_0775.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0776_q1,Image Description,fbd_0776.png,How many force arrows are shown in this diagram?,2
fbd_0776_q2,Basic Relational Reasoning,fbd_0776.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0776_q3,Comparative Reasoning,fbd_0776.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0776_q4,Compound Reasoning,fbd_0776.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 30.78, 'tension_magnitude': 98.81}"
fbd_0776_q5,Extrapolative/Counterfactual Reasoning,fbd_0776.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0777_q1,Image Description,fbd_0777.png,How many force arrows are shown in this diagram?,4
fbd_0777_q2,Basic Relational Reasoning,fbd_0777.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0777_q3,Comparative Reasoning,fbd_0777.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0777_q4,Compound Reasoning,fbd_0777.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 22.8, 'tension_magnitude': 117.67}"
fbd_0777_q5,Extrapolative/Counterfactual Reasoning,fbd_0777.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0778_q1,Image Description,fbd_0778.png,How many force arrows are shown in this diagram?,4
fbd_0778_q2,Basic Relational Reasoning,fbd_0778.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0778_q3,Comparative Reasoning,fbd_0778.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0778_q4,Compound Reasoning,fbd_0778.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.7, 'net_force_N': 27.92}"
fbd_0778_q5,Extrapolative/Counterfactual Reasoning,fbd_0778.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (343.3 degrees; 0=right, 90=up)"
fbd_0779_q1,Image Description,fbd_0779.png,How many force arrows are shown in this diagram?,2
fbd_0779_q2,Basic Relational Reasoning,fbd_0779.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0779_q3,Comparative Reasoning,fbd_0779.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0779_q4,Compound Reasoning,fbd_0779.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 27.17, 'support_force_magnitude': 120.08}"
fbd_0779_q5,Extrapolative/Counterfactual Reasoning,fbd_0779.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0780_q1,Image Description,fbd_0780.png,How many force arrows are shown in this diagram?,3
fbd_0780_q2,Basic Relational Reasoning,fbd_0780.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0780_q3,Comparative Reasoning,fbd_0780.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0780_q4,Compound Reasoning,fbd_0780.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 23.53, 'required_friction_coefficient': 0.24}"
fbd_0780_q5,Extrapolative/Counterfactual Reasoning,fbd_0780.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (256.6 degrees; 0=right, 90=up)"
fbd_0781_q1,Image Description,fbd_0781.png,How many force arrows are shown in this diagram?,3
fbd_0781_q2,Basic Relational Reasoning,fbd_0781.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0781_q3,Comparative Reasoning,fbd_0781.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0781_q4,Compound Reasoning,fbd_0781.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.54}"
fbd_0781_q5,Extrapolative/Counterfactual Reasoning,fbd_0781.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0782_q1,Image Description,fbd_0782.png,How many force arrows are shown in this diagram?,1
fbd_0782_q2,Basic Relational Reasoning,fbd_0782.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0782_q3,Comparative Reasoning,fbd_0782.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0782_q4,Compound Reasoning,fbd_0782.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 163.93}"
fbd_0782_q5,Extrapolative/Counterfactual Reasoning,fbd_0782.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0783_q1,Image Description,fbd_0783.png,How many force arrows are shown in this diagram?,3
fbd_0783_q2,Basic Relational Reasoning,fbd_0783.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0783_q3,Comparative Reasoning,fbd_0783.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0783_q4,Compound Reasoning,fbd_0783.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 145.09}"
fbd_0783_q5,Extrapolative/Counterfactual Reasoning,fbd_0783.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0784_q1,Image Description,fbd_0784.png,How many force arrows are shown in this diagram?,3
fbd_0784_q2,Basic Relational Reasoning,fbd_0784.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0784_q3,Comparative Reasoning,fbd_0784.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0784_q4,Compound Reasoning,fbd_0784.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 0.0}"
fbd_0784_q5,Extrapolative/Counterfactual Reasoning,fbd_0784.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0785_q1,Image Description,fbd_0785.png,How many force arrows are shown in this diagram?,1
fbd_0785_q2,Basic Relational Reasoning,fbd_0785.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0785_q3,Comparative Reasoning,fbd_0785.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0785_q4,Compound Reasoning,fbd_0785.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 139.69}"
fbd_0785_q5,Extrapolative/Counterfactual Reasoning,fbd_0785.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0786_q1,Image Description,fbd_0786.png,How many force arrows are shown in this diagram?,2
fbd_0786_q2,Basic Relational Reasoning,fbd_0786.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0786_q3,Comparative Reasoning,fbd_0786.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0786_q4,Compound Reasoning,fbd_0786.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29}"
fbd_0786_q5,Extrapolative/Counterfactual Reasoning,fbd_0786.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_0787_q1,Image Description,fbd_0787.png,How many force arrows are shown in this diagram?,4
fbd_0787_q2,Basic Relational Reasoning,fbd_0787.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0787_q3,Comparative Reasoning,fbd_0787.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0787_q4,Compound Reasoning,fbd_0787.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.61, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 125.0, 'magnitude': 87.591109}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 160.0, 'magnitude': 87.591109}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0787_q5,Extrapolative/Counterfactual Reasoning,fbd_0787.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0788_q1,Image Description,fbd_0788.png,How many force arrows are shown in this diagram?,2
fbd_0788_q2,Basic Relational Reasoning,fbd_0788.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0788_q3,Comparative Reasoning,fbd_0788.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0788_q4,Compound Reasoning,fbd_0788.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 150.98, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 150.9759}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 211.36626}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0788_q5,Extrapolative/Counterfactual Reasoning,fbd_0788.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0789_q1,Image Description,fbd_0789.png,How many force arrows are shown in this diagram?,4
fbd_0789_q2,Basic Relational Reasoning,fbd_0789.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0789_q3,Comparative Reasoning,fbd_0789.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0789_q4,Compound Reasoning,fbd_0789.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 134.0, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 134.0046}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 134.0046}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0789_q5,Extrapolative/Counterfactual Reasoning,fbd_0789.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0790_q1,Image Description,fbd_0790.png,How many force arrows are shown in this diagram?,4
fbd_0790_q2,Basic Relational Reasoning,fbd_0790.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0790_q3,Comparative Reasoning,fbd_0790.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0790_q4,Compound Reasoning,fbd_0790.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 291.71}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 408.394}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0790_q5,Extrapolative/Counterfactual Reasoning,fbd_0790.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0791_q1,Image Description,fbd_0791.png,How many force arrows are shown in this diagram?,2
fbd_0791_q2,Basic Relational Reasoning,fbd_0791.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0791_q3,Comparative Reasoning,fbd_0791.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0791_q4,Compound Reasoning,fbd_0791.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 164.91, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 164.9061}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 164.9061}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0791_q5,Extrapolative/Counterfactual Reasoning,fbd_0791.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0792_q1,Image Description,fbd_0792.png,How many force arrows are shown in this diagram?,3
fbd_0792_q2,Basic Relational Reasoning,fbd_0792.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0792_q3,Comparative Reasoning,fbd_0792.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0792_q4,Compound Reasoning,fbd_0792.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 66.0, 'magnitude': 135.682877}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 66.0, 'magnitude': 189.956028}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0792_q5,Extrapolative/Counterfactual Reasoning,fbd_0792.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (246 degrees; 0=right, 90=up)"
fbd_0793_q1,Image Description,fbd_0793.png,How many force arrows are shown in this diagram?,4
fbd_0793_q2,Basic Relational Reasoning,fbd_0793.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0793_q3,Comparative Reasoning,fbd_0793.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0793_q4,Compound Reasoning,fbd_0793.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.65}"
fbd_0793_q5,Extrapolative/Counterfactual Reasoning,fbd_0793.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0794_q1,Image Description,fbd_0794.png,How many force arrows are shown in this diagram?,2
fbd_0794_q2,Basic Relational Reasoning,fbd_0794.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0794_q3,Comparative Reasoning,fbd_0794.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0794_q4,Compound Reasoning,fbd_0794.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 107.13}"
fbd_0794_q5,Extrapolative/Counterfactual Reasoning,fbd_0794.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0795_q1,Image Description,fbd_0795.png,How many force arrows are shown in this diagram?,4
fbd_0795_q2,Basic Relational Reasoning,fbd_0795.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0795_q3,Comparative Reasoning,fbd_0795.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0795_q4,Compound Reasoning,fbd_0795.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 121.74}"
fbd_0795_q5,Extrapolative/Counterfactual Reasoning,fbd_0795.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0796_q1,Image Description,fbd_0796.png,How many force arrows are shown in this diagram?,4
fbd_0796_q2,Basic Relational Reasoning,fbd_0796.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0796_q3,Comparative Reasoning,fbd_0796.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0796_q4,Compound Reasoning,fbd_0796.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0}"
fbd_0796_q5,Extrapolative/Counterfactual Reasoning,fbd_0796.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0797_q1,Image Description,fbd_0797.png,How many force arrows are shown in this diagram?,2
fbd_0797_q2,Basic Relational Reasoning,fbd_0797.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0797_q3,Comparative Reasoning,fbd_0797.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0797_q4,Compound Reasoning,fbd_0797.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 200.71}"
fbd_0797_q5,Extrapolative/Counterfactual Reasoning,fbd_0797.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0798_q1,Image Description,fbd_0798.png,How many force arrows are shown in this diagram?,3
fbd_0798_q2,Basic Relational Reasoning,fbd_0798.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0798_q3,Comparative Reasoning,fbd_0798.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0798_q4,Compound Reasoning,fbd_0798.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_0798_q5,Extrapolative/Counterfactual Reasoning,fbd_0798.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_0799_q1,Image Description,fbd_0799.png,How many force arrows are shown in this diagram?,4
fbd_0799_q2,Basic Relational Reasoning,fbd_0799.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0799_q3,Comparative Reasoning,fbd_0799.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0799_q4,Compound Reasoning,fbd_0799.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 80.55, 'required_friction_coefficient': 0.67}"
fbd_0799_q5,Extrapolative/Counterfactual Reasoning,fbd_0799.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0800_q1,Image Description,fbd_0800.png,How many force arrows are shown in this diagram?,2
fbd_0800_q2,Basic Relational Reasoning,fbd_0800.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0800_q3,Comparative Reasoning,fbd_0800.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0800_q4,Compound Reasoning,fbd_0800.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 51.73, 'tension_magnitude': 112.49}"
fbd_0800_q5,Extrapolative/Counterfactual Reasoning,fbd_0800.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0801_q1,Image Description,fbd_0801.png,How many force arrows are shown in this diagram?,4
fbd_0801_q2,Basic Relational Reasoning,fbd_0801.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0801_q3,Comparative Reasoning,fbd_0801.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0801_q4,Compound Reasoning,fbd_0801.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 19.84, 'tension_magnitude': 95.18}"
fbd_0801_q5,Extrapolative/Counterfactual Reasoning,fbd_0801.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0802_q1,Image Description,fbd_0802.png,How many force arrows are shown in this diagram?,4
fbd_0802_q2,Basic Relational Reasoning,fbd_0802.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0802_q3,Comparative Reasoning,fbd_0802.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0802_q4,Compound Reasoning,fbd_0802.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 76.93}"
fbd_0802_q5,Extrapolative/Counterfactual Reasoning,fbd_0802.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (342.2 degrees; 0=right, 90=up)"
fbd_0803_q1,Image Description,fbd_0803.png,How many force arrows are shown in this diagram?,2
fbd_0803_q2,Basic Relational Reasoning,fbd_0803.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0803_q3,Comparative Reasoning,fbd_0803.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0803_q4,Compound Reasoning,fbd_0803.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 15.89, 'support_force_magnitude': 91.91}"
fbd_0803_q5,Extrapolative/Counterfactual Reasoning,fbd_0803.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0804_q1,Image Description,fbd_0804.png,How many force arrows are shown in this diagram?,3
fbd_0804_q2,Basic Relational Reasoning,fbd_0804.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0804_q3,Comparative Reasoning,fbd_0804.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0804_q4,Compound Reasoning,fbd_0804.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 27.79, 'required_friction_coefficient': 0.2}"
fbd_0804_q5,Extrapolative/Counterfactual Reasoning,fbd_0804.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (258.7 degrees; 0=right, 90=up)"
fbd_0805_q1,Image Description,fbd_0805.png,How many force arrows are shown in this diagram?,3
fbd_0805_q2,Basic Relational Reasoning,fbd_0805.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0805_q3,Comparative Reasoning,fbd_0805.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0805_q4,Compound Reasoning,fbd_0805.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.65}"
fbd_0805_q5,Extrapolative/Counterfactual Reasoning,fbd_0805.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0806_q1,Image Description,fbd_0806.png,How many force arrows are shown in this diagram?,1
fbd_0806_q2,Basic Relational Reasoning,fbd_0806.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0806_q3,Comparative Reasoning,fbd_0806.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0806_q4,Compound Reasoning,fbd_0806.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 203.85}"
fbd_0806_q5,Extrapolative/Counterfactual Reasoning,fbd_0806.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0807_q1,Image Description,fbd_0807.png,How many force arrows are shown in this diagram?,3
fbd_0807_q2,Basic Relational Reasoning,fbd_0807.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0807_q3,Comparative Reasoning,fbd_0807.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0807_q4,Compound Reasoning,fbd_0807.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 116.54}"
fbd_0807_q5,Extrapolative/Counterfactual Reasoning,fbd_0807.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0808_q1,Image Description,fbd_0808.png,How many force arrows are shown in this diagram?,3
fbd_0808_q2,Basic Relational Reasoning,fbd_0808.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0808_q3,Comparative Reasoning,fbd_0808.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0808_q4,Compound Reasoning,fbd_0808.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 0.0}"
fbd_0808_q5,Extrapolative/Counterfactual Reasoning,fbd_0808.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0809_q1,Image Description,fbd_0809.png,How many force arrows are shown in this diagram?,1
fbd_0809_q2,Basic Relational Reasoning,fbd_0809.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0809_q3,Comparative Reasoning,fbd_0809.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0809_q4,Compound Reasoning,fbd_0809.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 66.71}"
fbd_0809_q5,Extrapolative/Counterfactual Reasoning,fbd_0809.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0810_q1,Image Description,fbd_0810.png,How many force arrows are shown in this diagram?,2
fbd_0810_q2,Basic Relational Reasoning,fbd_0810.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0810_q3,Comparative Reasoning,fbd_0810.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0810_q4,Compound Reasoning,fbd_0810.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_0810_q5,Extrapolative/Counterfactual Reasoning,fbd_0810.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_0811_q1,Image Description,fbd_0811.png,How many force arrows are shown in this diagram?,4
fbd_0811_q2,Basic Relational Reasoning,fbd_0811.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0811_q3,Comparative Reasoning,fbd_0811.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0811_q4,Compound Reasoning,fbd_0811.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.56, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 123.0, 'magnitude': 61.376093}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 158.0, 'magnitude': 61.376093}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0811_q5,Extrapolative/Counterfactual Reasoning,fbd_0811.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0812_q1,Image Description,fbd_0812.png,How many force arrows are shown in this diagram?,2
fbd_0812_q2,Basic Relational Reasoning,fbd_0812.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0812_q3,Comparative Reasoning,fbd_0812.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0812_q4,Compound Reasoning,fbd_0812.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 63.77, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 63.765}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 89.271}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0812_q5,Extrapolative/Counterfactual Reasoning,fbd_0812.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0813_q1,Image Description,fbd_0813.png,How many force arrows are shown in this diagram?,4
fbd_0813_q2,Basic Relational Reasoning,fbd_0813.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0813_q3,Comparative Reasoning,fbd_0813.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0813_q4,Compound Reasoning,fbd_0813.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 199.24, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 199.2411}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 199.2411}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0813_q5,Extrapolative/Counterfactual Reasoning,fbd_0813.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0814_q1,Image Description,fbd_0814.png,How many force arrows are shown in this diagram?,4
fbd_0814_q2,Basic Relational Reasoning,fbd_0814.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0814_q3,Comparative Reasoning,fbd_0814.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0814_q4,Compound Reasoning,fbd_0814.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 276.21}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 386.694}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0814_q5,Extrapolative/Counterfactual Reasoning,fbd_0814.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0815_q1,Image Description,fbd_0815.png,How many force arrows are shown in this diagram?,2
fbd_0815_q2,Basic Relational Reasoning,fbd_0815.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0815_q3,Comparative Reasoning,fbd_0815.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0815_q4,Compound Reasoning,fbd_0815.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 199.44, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 199.4373}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 199.4373}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0815_q5,Extrapolative/Counterfactual Reasoning,fbd_0815.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0816_q1,Image Description,fbd_0816.png,How many force arrows are shown in this diagram?,3
fbd_0816_q2,Basic Relational Reasoning,fbd_0816.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0816_q3,Comparative Reasoning,fbd_0816.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0816_q4,Compound Reasoning,fbd_0816.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 73.0, 'magnitude': 80.304353}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 73.0, 'magnitude': 112.426094}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0816_q5,Extrapolative/Counterfactual Reasoning,fbd_0816.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_0817_q1,Image Description,fbd_0817.png,How many force arrows are shown in this diagram?,4
fbd_0817_q2,Basic Relational Reasoning,fbd_0817.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0817_q3,Comparative Reasoning,fbd_0817.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0817_q4,Compound Reasoning,fbd_0817.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_0817_q5,Extrapolative/Counterfactual Reasoning,fbd_0817.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0818_q1,Image Description,fbd_0818.png,How many force arrows are shown in this diagram?,2
fbd_0818_q2,Basic Relational Reasoning,fbd_0818.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0818_q3,Comparative Reasoning,fbd_0818.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0818_q4,Compound Reasoning,fbd_0818.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 132.63}"
fbd_0818_q5,Extrapolative/Counterfactual Reasoning,fbd_0818.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0819_q1,Image Description,fbd_0819.png,How many force arrows are shown in this diagram?,4
fbd_0819_q2,Basic Relational Reasoning,fbd_0819.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0819_q3,Comparative Reasoning,fbd_0819.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0819_q4,Compound Reasoning,fbd_0819.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 115.95}"
fbd_0819_q5,Extrapolative/Counterfactual Reasoning,fbd_0819.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0820_q1,Image Description,fbd_0820.png,How many force arrows are shown in this diagram?,4
fbd_0820_q2,Basic Relational Reasoning,fbd_0820.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0820_q3,Comparative Reasoning,fbd_0820.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0820_q4,Compound Reasoning,fbd_0820.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0}"
fbd_0820_q5,Extrapolative/Counterfactual Reasoning,fbd_0820.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0821_q1,Image Description,fbd_0821.png,How many force arrows are shown in this diagram?,2
fbd_0821_q2,Basic Relational Reasoning,fbd_0821.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0821_q3,Comparative Reasoning,fbd_0821.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0821_q4,Compound Reasoning,fbd_0821.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 148.33}"
fbd_0821_q5,Extrapolative/Counterfactual Reasoning,fbd_0821.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0822_q1,Image Description,fbd_0822.png,How many force arrows are shown in this diagram?,3
fbd_0822_q2,Basic Relational Reasoning,fbd_0822.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0822_q3,Comparative Reasoning,fbd_0822.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0822_q4,Compound Reasoning,fbd_0822.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_0822_q5,Extrapolative/Counterfactual Reasoning,fbd_0822.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_0823_q1,Image Description,fbd_0823.png,How many force arrows are shown in this diagram?,4
fbd_0823_q2,Basic Relational Reasoning,fbd_0823.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0823_q3,Comparative Reasoning,fbd_0823.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0823_q4,Compound Reasoning,fbd_0823.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 43.9, 'required_friction_coefficient': 0.7}"
fbd_0823_q5,Extrapolative/Counterfactual Reasoning,fbd_0823.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0824_q1,Image Description,fbd_0824.png,How many force arrows are shown in this diagram?,2
fbd_0824_q2,Basic Relational Reasoning,fbd_0824.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0824_q3,Comparative Reasoning,fbd_0824.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0824_q4,Compound Reasoning,fbd_0824.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 43.41, 'tension_magnitude': 116.69}"
fbd_0824_q5,Extrapolative/Counterfactual Reasoning,fbd_0824.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0825_q1,Image Description,fbd_0825.png,How many force arrows are shown in this diagram?,4
fbd_0825_q2,Basic Relational Reasoning,fbd_0825.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0825_q3,Comparative Reasoning,fbd_0825.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0825_q4,Compound Reasoning,fbd_0825.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 32.69, 'tension_magnitude': 134.03}"
fbd_0825_q5,Extrapolative/Counterfactual Reasoning,fbd_0825.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0826_q1,Image Description,fbd_0826.png,How many force arrows are shown in this diagram?,4
fbd_0826_q2,Basic Relational Reasoning,fbd_0826.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0826_q3,Comparative Reasoning,fbd_0826.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0826_q4,Compound Reasoning,fbd_0826.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 67.38}"
fbd_0826_q5,Extrapolative/Counterfactual Reasoning,fbd_0826.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (344.8 degrees; 0=right, 90=up)"
fbd_0827_q1,Image Description,fbd_0827.png,How many force arrows are shown in this diagram?,2
fbd_0827_q2,Basic Relational Reasoning,fbd_0827.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0827_q3,Comparative Reasoning,fbd_0827.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0827_q4,Compound Reasoning,fbd_0827.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 23.19, 'support_force_magnitude': 138.06}"
fbd_0827_q5,Extrapolative/Counterfactual Reasoning,fbd_0827.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0828_q1,Image Description,fbd_0828.png,How many force arrows are shown in this diagram?,3
fbd_0828_q2,Basic Relational Reasoning,fbd_0828.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0828_q3,Comparative Reasoning,fbd_0828.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0828_q4,Compound Reasoning,fbd_0828.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 21.61, 'required_friction_coefficient': 0.24}"
fbd_0828_q5,Extrapolative/Counterfactual Reasoning,fbd_0828.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (256.5 degrees; 0=right, 90=up)"
fbd_0829_q1,Image Description,fbd_0829.png,How many force arrows are shown in this diagram?,3
fbd_0829_q2,Basic Relational Reasoning,fbd_0829.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0829_q3,Comparative Reasoning,fbd_0829.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0829_q4,Compound Reasoning,fbd_0829.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.52}"
fbd_0829_q5,Extrapolative/Counterfactual Reasoning,fbd_0829.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0830_q1,Image Description,fbd_0830.png,How many force arrows are shown in this diagram?,1
fbd_0830_q2,Basic Relational Reasoning,fbd_0830.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0830_q3,Comparative Reasoning,fbd_0830.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0830_q4,Compound Reasoning,fbd_0830.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 75.44}"
fbd_0830_q5,Extrapolative/Counterfactual Reasoning,fbd_0830.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0831_q1,Image Description,fbd_0831.png,How many force arrows are shown in this diagram?,3
fbd_0831_q2,Basic Relational Reasoning,fbd_0831.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0831_q3,Comparative Reasoning,fbd_0831.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0831_q4,Compound Reasoning,fbd_0831.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 83.58}"
fbd_0831_q5,Extrapolative/Counterfactual Reasoning,fbd_0831.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0832_q1,Image Description,fbd_0832.png,How many force arrows are shown in this diagram?,3
fbd_0832_q2,Basic Relational Reasoning,fbd_0832.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0832_q3,Comparative Reasoning,fbd_0832.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0832_q4,Compound Reasoning,fbd_0832.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0}"
fbd_0832_q5,Extrapolative/Counterfactual Reasoning,fbd_0832.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0833_q1,Image Description,fbd_0833.png,How many force arrows are shown in this diagram?,1
fbd_0833_q2,Basic Relational Reasoning,fbd_0833.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0833_q3,Comparative Reasoning,fbd_0833.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0833_q4,Compound Reasoning,fbd_0833.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 147.84}"
fbd_0833_q5,Extrapolative/Counterfactual Reasoning,fbd_0833.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0834_q1,Image Description,fbd_0834.png,How many force arrows are shown in this diagram?,2
fbd_0834_q2,Basic Relational Reasoning,fbd_0834.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0834_q3,Comparative Reasoning,fbd_0834.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0834_q4,Compound Reasoning,fbd_0834.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34}"
fbd_0834_q5,Extrapolative/Counterfactual Reasoning,fbd_0834.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_0835_q1,Image Description,fbd_0835.png,How many force arrows are shown in this diagram?,4
fbd_0835_q2,Basic Relational Reasoning,fbd_0835.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0835_q3,Comparative Reasoning,fbd_0835.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0835_q4,Compound Reasoning,fbd_0835.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.61, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 126.0, 'magnitude': 125.951568}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 161.0, 'magnitude': 125.951568}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0835_q5,Extrapolative/Counterfactual Reasoning,fbd_0835.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0836_q1,Image Description,fbd_0836.png,How many force arrows are shown in this diagram?,2
fbd_0836_q2,Basic Relational Reasoning,fbd_0836.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0836_q3,Comparative Reasoning,fbd_0836.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0836_q4,Compound Reasoning,fbd_0836.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 122.82, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 122.8212}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 171.94968}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0836_q5,Extrapolative/Counterfactual Reasoning,fbd_0836.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0837_q1,Image Description,fbd_0837.png,How many force arrows are shown in this diagram?,4
fbd_0837_q2,Basic Relational Reasoning,fbd_0837.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0837_q3,Comparative Reasoning,fbd_0837.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0837_q4,Compound Reasoning,fbd_0837.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 146.07, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 146.0709}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 146.0709}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0837_q5,Extrapolative/Counterfactual Reasoning,fbd_0837.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0838_q1,Image Description,fbd_0838.png,How many force arrows are shown in this diagram?,4
fbd_0838_q2,Basic Relational Reasoning,fbd_0838.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0838_q3,Comparative Reasoning,fbd_0838.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0838_q4,Compound Reasoning,fbd_0838.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.65, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 211.75}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 296.45}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0838_q5,Extrapolative/Counterfactual Reasoning,fbd_0838.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0839_q1,Image Description,fbd_0839.png,How many force arrows are shown in this diagram?,2
fbd_0839_q2,Basic Relational Reasoning,fbd_0839.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0839_q3,Comparative Reasoning,fbd_0839.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0839_q4,Compound Reasoning,fbd_0839.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 155.98, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 155.979}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 155.979}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0839_q5,Extrapolative/Counterfactual Reasoning,fbd_0839.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0840_q1,Image Description,fbd_0840.png,How many force arrows are shown in this diagram?,3
fbd_0840_q2,Basic Relational Reasoning,fbd_0840.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0840_q3,Comparative Reasoning,fbd_0840.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0840_q4,Compound Reasoning,fbd_0840.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 68.0, 'magnitude': 84.771678}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 68.0, 'magnitude': 118.680349}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0840_q5,Extrapolative/Counterfactual Reasoning,fbd_0840.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_0841_q1,Image Description,fbd_0841.png,How many force arrows are shown in this diagram?,4
fbd_0841_q2,Basic Relational Reasoning,fbd_0841.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0841_q3,Comparative Reasoning,fbd_0841.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0841_q4,Compound Reasoning,fbd_0841.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.6}"
fbd_0841_q5,Extrapolative/Counterfactual Reasoning,fbd_0841.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0842_q1,Image Description,fbd_0842.png,How many force arrows are shown in this diagram?,2
fbd_0842_q2,Basic Relational Reasoning,fbd_0842.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0842_q3,Comparative Reasoning,fbd_0842.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0842_q4,Compound Reasoning,fbd_0842.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 196.4}"
fbd_0842_q5,Extrapolative/Counterfactual Reasoning,fbd_0842.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0843_q1,Image Description,fbd_0843.png,How many force arrows are shown in this diagram?,4
fbd_0843_q2,Basic Relational Reasoning,fbd_0843.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0843_q3,Comparative Reasoning,fbd_0843.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0843_q4,Compound Reasoning,fbd_0843.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 163.34}"
fbd_0843_q5,Extrapolative/Counterfactual Reasoning,fbd_0843.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0844_q1,Image Description,fbd_0844.png,How many force arrows are shown in this diagram?,4
fbd_0844_q2,Basic Relational Reasoning,fbd_0844.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0844_q3,Comparative Reasoning,fbd_0844.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0844_q4,Compound Reasoning,fbd_0844.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0}"
fbd_0844_q5,Extrapolative/Counterfactual Reasoning,fbd_0844.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0845_q1,Image Description,fbd_0845.png,How many force arrows are shown in this diagram?,2
fbd_0845_q2,Basic Relational Reasoning,fbd_0845.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0845_q3,Comparative Reasoning,fbd_0845.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0845_q4,Compound Reasoning,fbd_0845.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 67.69}"
fbd_0845_q5,Extrapolative/Counterfactual Reasoning,fbd_0845.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0846_q1,Image Description,fbd_0846.png,How many force arrows are shown in this diagram?,3
fbd_0846_q2,Basic Relational Reasoning,fbd_0846.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0846_q3,Comparative Reasoning,fbd_0846.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0846_q4,Compound Reasoning,fbd_0846.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_0846_q5,Extrapolative/Counterfactual Reasoning,fbd_0846.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_0847_q1,Image Description,fbd_0847.png,How many force arrows are shown in this diagram?,4
fbd_0847_q2,Basic Relational Reasoning,fbd_0847.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0847_q3,Comparative Reasoning,fbd_0847.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0847_q4,Compound Reasoning,fbd_0847.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 50.17, 'required_friction_coefficient': 0.69}"
fbd_0847_q5,Extrapolative/Counterfactual Reasoning,fbd_0847.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0848_q1,Image Description,fbd_0848.png,How many force arrows are shown in this diagram?,2
fbd_0848_q2,Basic Relational Reasoning,fbd_0848.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0848_q3,Comparative Reasoning,fbd_0848.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0848_q4,Compound Reasoning,fbd_0848.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 53.07, 'tension_magnitude': 137.64}"
fbd_0848_q5,Extrapolative/Counterfactual Reasoning,fbd_0848.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0849_q1,Image Description,fbd_0849.png,How many force arrows are shown in this diagram?,4
fbd_0849_q2,Basic Relational Reasoning,fbd_0849.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0849_q3,Comparative Reasoning,fbd_0849.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0849_q4,Compound Reasoning,fbd_0849.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 12.93, 'tension_magnitude': 72.28}"
fbd_0849_q5,Extrapolative/Counterfactual Reasoning,fbd_0849.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0850_q1,Image Description,fbd_0850.png,How many force arrows are shown in this diagram?,4
fbd_0850_q2,Basic Relational Reasoning,fbd_0850.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0850_q3,Comparative Reasoning,fbd_0850.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0850_q4,Compound Reasoning,fbd_0850.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 93.47}"
fbd_0850_q5,Extrapolative/Counterfactual Reasoning,fbd_0850.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (343 degrees; 0=right, 90=up)"
fbd_0851_q1,Image Description,fbd_0851.png,How many force arrows are shown in this diagram?,2
fbd_0851_q2,Basic Relational Reasoning,fbd_0851.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0851_q3,Comparative Reasoning,fbd_0851.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0851_q4,Compound Reasoning,fbd_0851.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 29.18, 'support_force_magnitude': 179.08}"
fbd_0851_q5,Extrapolative/Counterfactual Reasoning,fbd_0851.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0852_q1,Image Description,fbd_0852.png,How many force arrows are shown in this diagram?,3
fbd_0852_q2,Basic Relational Reasoning,fbd_0852.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0852_q3,Comparative Reasoning,fbd_0852.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0852_q4,Compound Reasoning,fbd_0852.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 49.76, 'required_friction_coefficient': 0.18}"
fbd_0852_q5,Extrapolative/Counterfactual Reasoning,fbd_0852.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (259.9 degrees; 0=right, 90=up)"
fbd_0853_q1,Image Description,fbd_0853.png,How many force arrows are shown in this diagram?,3
fbd_0853_q2,Basic Relational Reasoning,fbd_0853.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0853_q3,Comparative Reasoning,fbd_0853.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0853_q4,Compound Reasoning,fbd_0853.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.7}"
fbd_0853_q5,Extrapolative/Counterfactual Reasoning,fbd_0853.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0854_q1,Image Description,fbd_0854.png,How many force arrows are shown in this diagram?,1
fbd_0854_q2,Basic Relational Reasoning,fbd_0854.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0854_q3,Comparative Reasoning,fbd_0854.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0854_q4,Compound Reasoning,fbd_0854.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 202.67}"
fbd_0854_q5,Extrapolative/Counterfactual Reasoning,fbd_0854.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0855_q1,Image Description,fbd_0855.png,How many force arrows are shown in this diagram?,3
fbd_0855_q2,Basic Relational Reasoning,fbd_0855.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0855_q3,Comparative Reasoning,fbd_0855.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0855_q4,Compound Reasoning,fbd_0855.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 98.0}"
fbd_0855_q5,Extrapolative/Counterfactual Reasoning,fbd_0855.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0856_q1,Image Description,fbd_0856.png,How many force arrows are shown in this diagram?,3
fbd_0856_q2,Basic Relational Reasoning,fbd_0856.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0856_q3,Comparative Reasoning,fbd_0856.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0856_q4,Compound Reasoning,fbd_0856.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0}"
fbd_0856_q5,Extrapolative/Counterfactual Reasoning,fbd_0856.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0857_q1,Image Description,fbd_0857.png,How many force arrows are shown in this diagram?,1
fbd_0857_q2,Basic Relational Reasoning,fbd_0857.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0857_q3,Comparative Reasoning,fbd_0857.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0857_q4,Compound Reasoning,fbd_0857.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 210.13}"
fbd_0857_q5,Extrapolative/Counterfactual Reasoning,fbd_0857.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0858_q1,Image Description,fbd_0858.png,How many force arrows are shown in this diagram?,2
fbd_0858_q2,Basic Relational Reasoning,fbd_0858.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0858_q3,Comparative Reasoning,fbd_0858.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0858_q4,Compound Reasoning,fbd_0858.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_0858_q5,Extrapolative/Counterfactual Reasoning,fbd_0858.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_0859_q1,Image Description,fbd_0859.png,How many force arrows are shown in this diagram?,4
fbd_0859_q2,Basic Relational Reasoning,fbd_0859.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0859_q3,Comparative Reasoning,fbd_0859.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0859_q4,Compound Reasoning,fbd_0859.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.48, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 118.0, 'magnitude': 131.311613}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 153.0, 'magnitude': 131.311613}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0859_q5,Extrapolative/Counterfactual Reasoning,fbd_0859.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0860_q1,Image Description,fbd_0860.png,How many force arrows are shown in this diagram?,2
fbd_0860_q2,Basic Relational Reasoning,fbd_0860.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0860_q3,Comparative Reasoning,fbd_0860.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0860_q4,Compound Reasoning,fbd_0860.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 80.54, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 80.5401}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 112.75614}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0860_q5,Extrapolative/Counterfactual Reasoning,fbd_0860.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0861_q1,Image Description,fbd_0861.png,How many force arrows are shown in this diagram?,4
fbd_0861_q2,Basic Relational Reasoning,fbd_0861.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0861_q3,Comparative Reasoning,fbd_0861.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0861_q4,Compound Reasoning,fbd_0861.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 192.96, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 192.9627}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 192.9627}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0861_q5,Extrapolative/Counterfactual Reasoning,fbd_0861.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0862_q1,Image Description,fbd_0862.png,How many force arrows are shown in this diagram?,4
fbd_0862_q2,Basic Relational Reasoning,fbd_0862.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0862_q3,Comparative Reasoning,fbd_0862.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0862_q4,Compound Reasoning,fbd_0862.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.68, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 215.79}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 302.106}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0862_q5,Extrapolative/Counterfactual Reasoning,fbd_0862.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0863_q1,Image Description,fbd_0863.png,How many force arrows are shown in this diagram?,2
fbd_0863_q2,Basic Relational Reasoning,fbd_0863.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0863_q3,Comparative Reasoning,fbd_0863.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0863_q4,Compound Reasoning,fbd_0863.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 150.09, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 150.093}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 150.093}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0863_q5,Extrapolative/Counterfactual Reasoning,fbd_0863.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0864_q1,Image Description,fbd_0864.png,How many force arrows are shown in this diagram?,3
fbd_0864_q2,Basic Relational Reasoning,fbd_0864.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0864_q3,Comparative Reasoning,fbd_0864.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0864_q4,Compound Reasoning,fbd_0864.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 67.0, 'magnitude': 98.338362}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 67.0, 'magnitude': 137.673707}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0864_q5,Extrapolative/Counterfactual Reasoning,fbd_0864.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_0865_q1,Image Description,fbd_0865.png,How many force arrows are shown in this diagram?,4
fbd_0865_q2,Basic Relational Reasoning,fbd_0865.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0865_q3,Comparative Reasoning,fbd_0865.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0865_q4,Compound Reasoning,fbd_0865.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.54}"
fbd_0865_q5,Extrapolative/Counterfactual Reasoning,fbd_0865.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0866_q1,Image Description,fbd_0866.png,How many force arrows are shown in this diagram?,2
fbd_0866_q2,Basic Relational Reasoning,fbd_0866.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0866_q3,Comparative Reasoning,fbd_0866.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0866_q4,Compound Reasoning,fbd_0866.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 203.75}"
fbd_0866_q5,Extrapolative/Counterfactual Reasoning,fbd_0866.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0867_q1,Image Description,fbd_0867.png,How many force arrows are shown in this diagram?,4
fbd_0867_q2,Basic Relational Reasoning,fbd_0867.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0867_q3,Comparative Reasoning,fbd_0867.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0867_q4,Compound Reasoning,fbd_0867.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 188.16}"
fbd_0867_q5,Extrapolative/Counterfactual Reasoning,fbd_0867.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0868_q1,Image Description,fbd_0868.png,How many force arrows are shown in this diagram?,4
fbd_0868_q2,Basic Relational Reasoning,fbd_0868.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0868_q3,Comparative Reasoning,fbd_0868.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0868_q4,Compound Reasoning,fbd_0868.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.65, 'net_force_N': 0.0}"
fbd_0868_q5,Extrapolative/Counterfactual Reasoning,fbd_0868.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0869_q1,Image Description,fbd_0869.png,How many force arrows are shown in this diagram?,2
fbd_0869_q2,Basic Relational Reasoning,fbd_0869.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0869_q3,Comparative Reasoning,fbd_0869.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0869_q4,Compound Reasoning,fbd_0869.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 123.8}"
fbd_0869_q5,Extrapolative/Counterfactual Reasoning,fbd_0869.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0870_q1,Image Description,fbd_0870.png,How many force arrows are shown in this diagram?,3
fbd_0870_q2,Basic Relational Reasoning,fbd_0870.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0870_q3,Comparative Reasoning,fbd_0870.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0870_q4,Compound Reasoning,fbd_0870.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_0870_q5,Extrapolative/Counterfactual Reasoning,fbd_0870.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_0871_q1,Image Description,fbd_0871.png,How many force arrows are shown in this diagram?,4
fbd_0871_q2,Basic Relational Reasoning,fbd_0871.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0871_q3,Comparative Reasoning,fbd_0871.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0871_q4,Compound Reasoning,fbd_0871.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 50.81, 'required_friction_coefficient': 0.71}"
fbd_0871_q5,Extrapolative/Counterfactual Reasoning,fbd_0871.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0872_q1,Image Description,fbd_0872.png,How many force arrows are shown in this diagram?,2
fbd_0872_q2,Basic Relational Reasoning,fbd_0872.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0872_q3,Comparative Reasoning,fbd_0872.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0872_q4,Compound Reasoning,fbd_0872.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 30.26, 'tension_magnitude': 114.54}"
fbd_0872_q5,Extrapolative/Counterfactual Reasoning,fbd_0872.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0873_q1,Image Description,fbd_0873.png,How many force arrows are shown in this diagram?,4
fbd_0873_q2,Basic Relational Reasoning,fbd_0873.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0873_q3,Comparative Reasoning,fbd_0873.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0873_q4,Compound Reasoning,fbd_0873.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 24.03, 'tension_magnitude': 104.97}"
fbd_0873_q5,Extrapolative/Counterfactual Reasoning,fbd_0873.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0874_q1,Image Description,fbd_0874.png,How many force arrows are shown in this diagram?,4
fbd_0874_q2,Basic Relational Reasoning,fbd_0874.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0874_q3,Comparative Reasoning,fbd_0874.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0874_q4,Compound Reasoning,fbd_0874.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.65, 'net_force_N': 91.81}"
fbd_0874_q5,Extrapolative/Counterfactual Reasoning,fbd_0874.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (337.1 degrees; 0=right, 90=up)"
fbd_0875_q1,Image Description,fbd_0875.png,How many force arrows are shown in this diagram?,2
fbd_0875_q2,Basic Relational Reasoning,fbd_0875.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0875_q3,Comparative Reasoning,fbd_0875.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0875_q4,Compound Reasoning,fbd_0875.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 25.71, 'support_force_magnitude': 163.54}"
fbd_0875_q5,Extrapolative/Counterfactual Reasoning,fbd_0875.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0876_q1,Image Description,fbd_0876.png,How many force arrows are shown in this diagram?,3
fbd_0876_q2,Basic Relational Reasoning,fbd_0876.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0876_q3,Comparative Reasoning,fbd_0876.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0876_q4,Compound Reasoning,fbd_0876.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 37.54, 'required_friction_coefficient': 0.26}"
fbd_0876_q5,Extrapolative/Counterfactual Reasoning,fbd_0876.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (255.3 degrees; 0=right, 90=up)"
fbd_0877_q1,Image Description,fbd_0877.png,How many force arrows are shown in this diagram?,3
fbd_0877_q2,Basic Relational Reasoning,fbd_0877.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0877_q3,Comparative Reasoning,fbd_0877.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0877_q4,Compound Reasoning,fbd_0877.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.69}"
fbd_0877_q5,Extrapolative/Counterfactual Reasoning,fbd_0877.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0878_q1,Image Description,fbd_0878.png,How many force arrows are shown in this diagram?,1
fbd_0878_q2,Basic Relational Reasoning,fbd_0878.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0878_q3,Comparative Reasoning,fbd_0878.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0878_q4,Compound Reasoning,fbd_0878.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 184.62}"
fbd_0878_q5,Extrapolative/Counterfactual Reasoning,fbd_0878.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0879_q1,Image Description,fbd_0879.png,How many force arrows are shown in this diagram?,3
fbd_0879_q2,Basic Relational Reasoning,fbd_0879.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0879_q3,Comparative Reasoning,fbd_0879.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0879_q4,Compound Reasoning,fbd_0879.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 71.02}"
fbd_0879_q5,Extrapolative/Counterfactual Reasoning,fbd_0879.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0880_q1,Image Description,fbd_0880.png,How many force arrows are shown in this diagram?,3
fbd_0880_q2,Basic Relational Reasoning,fbd_0880.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0880_q3,Comparative Reasoning,fbd_0880.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0880_q4,Compound Reasoning,fbd_0880.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 0.0}"
fbd_0880_q5,Extrapolative/Counterfactual Reasoning,fbd_0880.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0881_q1,Image Description,fbd_0881.png,How many force arrows are shown in this diagram?,1
fbd_0881_q2,Basic Relational Reasoning,fbd_0881.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0881_q3,Comparative Reasoning,fbd_0881.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0881_q4,Compound Reasoning,fbd_0881.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 163.93}"
fbd_0881_q5,Extrapolative/Counterfactual Reasoning,fbd_0881.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0882_q1,Image Description,fbd_0882.png,How many force arrows are shown in this diagram?,2
fbd_0882_q2,Basic Relational Reasoning,fbd_0882.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0882_q3,Comparative Reasoning,fbd_0882.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0882_q4,Compound Reasoning,fbd_0882.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_0882_q5,Extrapolative/Counterfactual Reasoning,fbd_0882.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_0883_q1,Image Description,fbd_0883.png,How many force arrows are shown in this diagram?,4
fbd_0883_q2,Basic Relational Reasoning,fbd_0883.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0883_q3,Comparative Reasoning,fbd_0883.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0883_q4,Compound Reasoning,fbd_0883.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 117.0, 'magnitude': 130.237533}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 152.0, 'magnitude': 130.237533}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0883_q5,Extrapolative/Counterfactual Reasoning,fbd_0883.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0884_q1,Image Description,fbd_0884.png,How many force arrows are shown in this diagram?,2
fbd_0884_q2,Basic Relational Reasoning,fbd_0884.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0884_q3,Comparative Reasoning,fbd_0884.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0884_q4,Compound Reasoning,fbd_0884.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 189.43, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 189.4311}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 265.20354}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0884_q5,Extrapolative/Counterfactual Reasoning,fbd_0884.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0885_q1,Image Description,fbd_0885.png,How many force arrows are shown in this diagram?,4
fbd_0885_q2,Basic Relational Reasoning,fbd_0885.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0885_q3,Comparative Reasoning,fbd_0885.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0885_q4,Compound Reasoning,fbd_0885.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 116.74, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 116.739}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 116.739}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0885_q5,Extrapolative/Counterfactual Reasoning,fbd_0885.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0886_q1,Image Description,fbd_0886.png,How many force arrows are shown in this diagram?,4
fbd_0886_q2,Basic Relational Reasoning,fbd_0886.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0886_q3,Comparative Reasoning,fbd_0886.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0886_q4,Compound Reasoning,fbd_0886.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 147.34}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 206.276}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0886_q5,Extrapolative/Counterfactual Reasoning,fbd_0886.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0887_q1,Image Description,fbd_0887.png,How many force arrows are shown in this diagram?,2
fbd_0887_q2,Basic Relational Reasoning,fbd_0887.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0887_q3,Comparative Reasoning,fbd_0887.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0887_q4,Compound Reasoning,fbd_0887.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 136.46, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 136.4571}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 136.4571}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0887_q5,Extrapolative/Counterfactual Reasoning,fbd_0887.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0888_q1,Image Description,fbd_0888.png,How many force arrows are shown in this diagram?,3
fbd_0888_q2,Basic Relational Reasoning,fbd_0888.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0888_q3,Comparative Reasoning,fbd_0888.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0888_q4,Compound Reasoning,fbd_0888.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 65.0, 'magnitude': 64.725602}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 65.0, 'magnitude': 90.615843}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0888_q5,Extrapolative/Counterfactual Reasoning,fbd_0888.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_0889_q1,Image Description,fbd_0889.png,How many force arrows are shown in this diagram?,4
fbd_0889_q2,Basic Relational Reasoning,fbd_0889.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0889_q3,Comparative Reasoning,fbd_0889.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0889_q4,Compound Reasoning,fbd_0889.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.64}"
fbd_0889_q5,Extrapolative/Counterfactual Reasoning,fbd_0889.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0890_q1,Image Description,fbd_0890.png,How many force arrows are shown in this diagram?,2
fbd_0890_q2,Basic Relational Reasoning,fbd_0890.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0890_q3,Comparative Reasoning,fbd_0890.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0890_q4,Compound Reasoning,fbd_0890.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 66.41}"
fbd_0890_q5,Extrapolative/Counterfactual Reasoning,fbd_0890.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0891_q1,Image Description,fbd_0891.png,How many force arrows are shown in this diagram?,4
fbd_0891_q2,Basic Relational Reasoning,fbd_0891.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0891_q3,Comparative Reasoning,fbd_0891.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0891_q4,Compound Reasoning,fbd_0891.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 215.13}"
fbd_0891_q5,Extrapolative/Counterfactual Reasoning,fbd_0891.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0892_q1,Image Description,fbd_0892.png,How many force arrows are shown in this diagram?,4
fbd_0892_q2,Basic Relational Reasoning,fbd_0892.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0892_q3,Comparative Reasoning,fbd_0892.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0892_q4,Compound Reasoning,fbd_0892.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 0.0}"
fbd_0892_q5,Extrapolative/Counterfactual Reasoning,fbd_0892.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0893_q1,Image Description,fbd_0893.png,How many force arrows are shown in this diagram?,2
fbd_0893_q2,Basic Relational Reasoning,fbd_0893.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0893_q3,Comparative Reasoning,fbd_0893.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0893_q4,Compound Reasoning,fbd_0893.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 137.93}"
fbd_0893_q5,Extrapolative/Counterfactual Reasoning,fbd_0893.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0894_q1,Image Description,fbd_0894.png,How many force arrows are shown in this diagram?,3
fbd_0894_q2,Basic Relational Reasoning,fbd_0894.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0894_q3,Comparative Reasoning,fbd_0894.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0894_q4,Compound Reasoning,fbd_0894.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36}"
fbd_0894_q5,Extrapolative/Counterfactual Reasoning,fbd_0894.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_0895_q1,Image Description,fbd_0895.png,How many force arrows are shown in this diagram?,4
fbd_0895_q2,Basic Relational Reasoning,fbd_0895.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0895_q3,Comparative Reasoning,fbd_0895.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0895_q4,Compound Reasoning,fbd_0895.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 31.01, 'required_friction_coefficient': 0.41}"
fbd_0895_q5,Extrapolative/Counterfactual Reasoning,fbd_0895.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0896_q1,Image Description,fbd_0896.png,How many force arrows are shown in this diagram?,2
fbd_0896_q2,Basic Relational Reasoning,fbd_0896.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0896_q3,Comparative Reasoning,fbd_0896.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0896_q4,Compound Reasoning,fbd_0896.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 11.47, 'tension_magnitude': 78.58}"
fbd_0896_q5,Extrapolative/Counterfactual Reasoning,fbd_0896.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0897_q1,Image Description,fbd_0897.png,How many force arrows are shown in this diagram?,4
fbd_0897_q2,Basic Relational Reasoning,fbd_0897.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0897_q3,Comparative Reasoning,fbd_0897.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0897_q4,Compound Reasoning,fbd_0897.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 13.39, 'tension_magnitude': 79.81}"
fbd_0897_q5,Extrapolative/Counterfactual Reasoning,fbd_0897.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0898_q1,Image Description,fbd_0898.png,How many force arrows are shown in this diagram?,4
fbd_0898_q2,Basic Relational Reasoning,fbd_0898.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0898_q3,Comparative Reasoning,fbd_0898.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0898_q4,Compound Reasoning,fbd_0898.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.72, 'net_force_N': 53.83}"
fbd_0898_q5,Extrapolative/Counterfactual Reasoning,fbd_0898.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (342.8 degrees; 0=right, 90=up)"
fbd_0899_q1,Image Description,fbd_0899.png,How many force arrows are shown in this diagram?,2
fbd_0899_q2,Basic Relational Reasoning,fbd_0899.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0899_q3,Comparative Reasoning,fbd_0899.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0899_q4,Compound Reasoning,fbd_0899.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 47.05, 'support_force_magnitude': 139.05}"
fbd_0899_q5,Extrapolative/Counterfactual Reasoning,fbd_0899.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0900_q1,Image Description,fbd_0900.png,How many force arrows are shown in this diagram?,3
fbd_0900_q2,Basic Relational Reasoning,fbd_0900.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0900_q3,Comparative Reasoning,fbd_0900.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0900_q4,Compound Reasoning,fbd_0900.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 35.69, 'required_friction_coefficient': 0.16}"
fbd_0900_q5,Extrapolative/Counterfactual Reasoning,fbd_0900.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (260.8 degrees; 0=right, 90=up)"
fbd_0901_q1,Image Description,fbd_0901.png,How many force arrows are shown in this diagram?,3
fbd_0901_q2,Basic Relational Reasoning,fbd_0901.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0901_q3,Comparative Reasoning,fbd_0901.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0901_q4,Compound Reasoning,fbd_0901.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.5}"
fbd_0901_q5,Extrapolative/Counterfactual Reasoning,fbd_0901.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0902_q1,Image Description,fbd_0902.png,How many force arrows are shown in this diagram?,1
fbd_0902_q2,Basic Relational Reasoning,fbd_0902.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0902_q3,Comparative Reasoning,fbd_0902.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0902_q4,Compound Reasoning,fbd_0902.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 213.56}"
fbd_0902_q5,Extrapolative/Counterfactual Reasoning,fbd_0902.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0903_q1,Image Description,fbd_0903.png,How many force arrows are shown in this diagram?,3
fbd_0903_q2,Basic Relational Reasoning,fbd_0903.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0903_q3,Comparative Reasoning,fbd_0903.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0903_q4,Compound Reasoning,fbd_0903.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 65.43}"
fbd_0903_q5,Extrapolative/Counterfactual Reasoning,fbd_0903.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0904_q1,Image Description,fbd_0904.png,How many force arrows are shown in this diagram?,3
fbd_0904_q2,Basic Relational Reasoning,fbd_0904.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0904_q3,Comparative Reasoning,fbd_0904.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0904_q4,Compound Reasoning,fbd_0904.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0}"
fbd_0904_q5,Extrapolative/Counterfactual Reasoning,fbd_0904.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0905_q1,Image Description,fbd_0905.png,How many force arrows are shown in this diagram?,1
fbd_0905_q2,Basic Relational Reasoning,fbd_0905.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0905_q3,Comparative Reasoning,fbd_0905.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0905_q4,Compound Reasoning,fbd_0905.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 166.28}"
fbd_0905_q5,Extrapolative/Counterfactual Reasoning,fbd_0905.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0906_q1,Image Description,fbd_0906.png,How many force arrows are shown in this diagram?,2
fbd_0906_q2,Basic Relational Reasoning,fbd_0906.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0906_q3,Comparative Reasoning,fbd_0906.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0906_q4,Compound Reasoning,fbd_0906.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_0906_q5,Extrapolative/Counterfactual Reasoning,fbd_0906.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_0907_q1,Image Description,fbd_0907.png,How many force arrows are shown in this diagram?,4
fbd_0907_q2,Basic Relational Reasoning,fbd_0907.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0907_q3,Comparative Reasoning,fbd_0907.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0907_q4,Compound Reasoning,fbd_0907.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.39, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 115.0, 'magnitude': 153.189852}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 150.0, 'magnitude': 153.189852}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0907_q5,Extrapolative/Counterfactual Reasoning,fbd_0907.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0908_q1,Image Description,fbd_0908.png,How many force arrows are shown in this diagram?,2
fbd_0908_q2,Basic Relational Reasoning,fbd_0908.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0908_q3,Comparative Reasoning,fbd_0908.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0908_q4,Compound Reasoning,fbd_0908.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 160.3, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 160.2954}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 224.41356}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0908_q5,Extrapolative/Counterfactual Reasoning,fbd_0908.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0909_q1,Image Description,fbd_0909.png,How many force arrows are shown in this diagram?,4
fbd_0909_q2,Basic Relational Reasoning,fbd_0909.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0909_q3,Comparative Reasoning,fbd_0909.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0909_q4,Compound Reasoning,fbd_0909.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 91.23, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 91.233}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 91.233}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0909_q5,Extrapolative/Counterfactual Reasoning,fbd_0909.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0910_q1,Image Description,fbd_0910.png,How many force arrows are shown in this diagram?,4
fbd_0910_q2,Basic Relational Reasoning,fbd_0910.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0910_q3,Comparative Reasoning,fbd_0910.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0910_q4,Compound Reasoning,fbd_0910.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 250.6}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 350.84}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0910_q5,Extrapolative/Counterfactual Reasoning,fbd_0910.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0911_q1,Image Description,fbd_0911.png,How many force arrows are shown in this diagram?,2
fbd_0911_q2,Basic Relational Reasoning,fbd_0911.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0911_q3,Comparative Reasoning,fbd_0911.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0911_q4,Compound Reasoning,fbd_0911.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 130.67, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 130.6692}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 130.6692}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0911_q5,Extrapolative/Counterfactual Reasoning,fbd_0911.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0912_q1,Image Description,fbd_0912.png,How many force arrows are shown in this diagram?,3
fbd_0912_q2,Basic Relational Reasoning,fbd_0912.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0912_q3,Comparative Reasoning,fbd_0912.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0912_q4,Compound Reasoning,fbd_0912.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 60.0, 'magnitude': 122.508127}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 60.0, 'magnitude': 171.511378}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0912_q5,Extrapolative/Counterfactual Reasoning,fbd_0912.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_0913_q1,Image Description,fbd_0913.png,How many force arrows are shown in this diagram?,4
fbd_0913_q2,Basic Relational Reasoning,fbd_0913.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0913_q3,Comparative Reasoning,fbd_0913.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0913_q4,Compound Reasoning,fbd_0913.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.52}"
fbd_0913_q5,Extrapolative/Counterfactual Reasoning,fbd_0913.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0914_q1,Image Description,fbd_0914.png,How many force arrows are shown in this diagram?,2
fbd_0914_q2,Basic Relational Reasoning,fbd_0914.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0914_q3,Comparative Reasoning,fbd_0914.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0914_q4,Compound Reasoning,fbd_0914.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 67.98}"
fbd_0914_q5,Extrapolative/Counterfactual Reasoning,fbd_0914.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0915_q1,Image Description,fbd_0915.png,How many force arrows are shown in this diagram?,4
fbd_0915_q2,Basic Relational Reasoning,fbd_0915.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0915_q3,Comparative Reasoning,fbd_0915.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0915_q4,Compound Reasoning,fbd_0915.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 86.03}"
fbd_0915_q5,Extrapolative/Counterfactual Reasoning,fbd_0915.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0916_q1,Image Description,fbd_0916.png,How many force arrows are shown in this diagram?,4
fbd_0916_q2,Basic Relational Reasoning,fbd_0916.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0916_q3,Comparative Reasoning,fbd_0916.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0916_q4,Compound Reasoning,fbd_0916.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 0.0}"
fbd_0916_q5,Extrapolative/Counterfactual Reasoning,fbd_0916.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0917_q1,Image Description,fbd_0917.png,How many force arrows are shown in this diagram?,2
fbd_0917_q2,Basic Relational Reasoning,fbd_0917.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0917_q3,Comparative Reasoning,fbd_0917.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0917_q4,Compound Reasoning,fbd_0917.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 193.55}"
fbd_0917_q5,Extrapolative/Counterfactual Reasoning,fbd_0917.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0918_q1,Image Description,fbd_0918.png,How many force arrows are shown in this diagram?,3
fbd_0918_q2,Basic Relational Reasoning,fbd_0918.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0918_q3,Comparative Reasoning,fbd_0918.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0918_q4,Compound Reasoning,fbd_0918.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_0918_q5,Extrapolative/Counterfactual Reasoning,fbd_0918.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_0919_q1,Image Description,fbd_0919.png,How many force arrows are shown in this diagram?,4
fbd_0919_q2,Basic Relational Reasoning,fbd_0919.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0919_q3,Comparative Reasoning,fbd_0919.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0919_q4,Compound Reasoning,fbd_0919.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 71.24, 'required_friction_coefficient': 0.65}"
fbd_0919_q5,Extrapolative/Counterfactual Reasoning,fbd_0919.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0920_q1,Image Description,fbd_0920.png,How many force arrows are shown in this diagram?,2
fbd_0920_q2,Basic Relational Reasoning,fbd_0920.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0920_q3,Comparative Reasoning,fbd_0920.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0920_q4,Compound Reasoning,fbd_0920.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 29.81, 'tension_magnitude': 124.11}"
fbd_0920_q5,Extrapolative/Counterfactual Reasoning,fbd_0920.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0921_q1,Image Description,fbd_0921.png,How many force arrows are shown in this diagram?,4
fbd_0921_q2,Basic Relational Reasoning,fbd_0921.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0921_q3,Comparative Reasoning,fbd_0921.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0921_q4,Compound Reasoning,fbd_0921.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 23.68, 'tension_magnitude': 236.85}"
fbd_0921_q5,Extrapolative/Counterfactual Reasoning,fbd_0921.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0922_q1,Image Description,fbd_0922.png,How many force arrows are shown in this diagram?,4
fbd_0922_q2,Basic Relational Reasoning,fbd_0922.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0922_q3,Comparative Reasoning,fbd_0922.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0922_q4,Compound Reasoning,fbd_0922.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 16.46}"
fbd_0922_q5,Extrapolative/Counterfactual Reasoning,fbd_0922.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (352.4 degrees; 0=right, 90=up)"
fbd_0923_q1,Image Description,fbd_0923.png,How many force arrows are shown in this diagram?,2
fbd_0923_q2,Basic Relational Reasoning,fbd_0923.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0923_q3,Comparative Reasoning,fbd_0923.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0923_q4,Compound Reasoning,fbd_0923.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 41.82, 'support_force_magnitude': 144.67}"
fbd_0923_q5,Extrapolative/Counterfactual Reasoning,fbd_0923.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0924_q1,Image Description,fbd_0924.png,How many force arrows are shown in this diagram?,3
fbd_0924_q2,Basic Relational Reasoning,fbd_0924.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0924_q3,Comparative Reasoning,fbd_0924.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0924_q4,Compound Reasoning,fbd_0924.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 37.85, 'required_friction_coefficient': 0.12}"
fbd_0924_q5,Extrapolative/Counterfactual Reasoning,fbd_0924.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (263.4 degrees; 0=right, 90=up)"
fbd_0925_q1,Image Description,fbd_0925.png,How many force arrows are shown in this diagram?,3
fbd_0925_q2,Basic Relational Reasoning,fbd_0925.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0925_q3,Comparative Reasoning,fbd_0925.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0925_q4,Compound Reasoning,fbd_0925.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45}"
fbd_0925_q5,Extrapolative/Counterfactual Reasoning,fbd_0925.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0926_q1,Image Description,fbd_0926.png,How many force arrows are shown in this diagram?,1
fbd_0926_q2,Basic Relational Reasoning,fbd_0926.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0926_q3,Comparative Reasoning,fbd_0926.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0926_q4,Compound Reasoning,fbd_0926.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 160.2}"
fbd_0926_q5,Extrapolative/Counterfactual Reasoning,fbd_0926.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0927_q1,Image Description,fbd_0927.png,How many force arrows are shown in this diagram?,3
fbd_0927_q2,Basic Relational Reasoning,fbd_0927.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0927_q3,Comparative Reasoning,fbd_0927.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0927_q4,Compound Reasoning,fbd_0927.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 158.63}"
fbd_0927_q5,Extrapolative/Counterfactual Reasoning,fbd_0927.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0928_q1,Image Description,fbd_0928.png,How many force arrows are shown in this diagram?,3
fbd_0928_q2,Basic Relational Reasoning,fbd_0928.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0928_q3,Comparative Reasoning,fbd_0928.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0928_q4,Compound Reasoning,fbd_0928.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0}"
fbd_0928_q5,Extrapolative/Counterfactual Reasoning,fbd_0928.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0929_q1,Image Description,fbd_0929.png,How many force arrows are shown in this diagram?,1
fbd_0929_q2,Basic Relational Reasoning,fbd_0929.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0929_q3,Comparative Reasoning,fbd_0929.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0929_q4,Compound Reasoning,fbd_0929.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 89.17}"
fbd_0929_q5,Extrapolative/Counterfactual Reasoning,fbd_0929.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0930_q1,Image Description,fbd_0930.png,How many force arrows are shown in this diagram?,2
fbd_0930_q2,Basic Relational Reasoning,fbd_0930.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0930_q3,Comparative Reasoning,fbd_0930.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0930_q4,Compound Reasoning,fbd_0930.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53}"
fbd_0930_q5,Extrapolative/Counterfactual Reasoning,fbd_0930.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (242 degrees; 0=right, 90=up)"
fbd_0931_q1,Image Description,fbd_0931.png,How many force arrows are shown in this diagram?,4
fbd_0931_q2,Basic Relational Reasoning,fbd_0931.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0931_q3,Comparative Reasoning,fbd_0931.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0931_q4,Compound Reasoning,fbd_0931.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 121.0, 'magnitude': 158.926532}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 156.0, 'magnitude': 158.926532}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0931_q5,Extrapolative/Counterfactual Reasoning,fbd_0931.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0932_q1,Image Description,fbd_0932.png,How many force arrows are shown in this diagram?,2
fbd_0932_q2,Basic Relational Reasoning,fbd_0932.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0932_q3,Comparative Reasoning,fbd_0932.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0932_q4,Compound Reasoning,fbd_0932.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 139.99, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 139.9887}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 195.98418}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0932_q5,Extrapolative/Counterfactual Reasoning,fbd_0932.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0933_q1,Image Description,fbd_0933.png,How many force arrows are shown in this diagram?,4
fbd_0933_q2,Basic Relational Reasoning,fbd_0933.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0933_q3,Comparative Reasoning,fbd_0933.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0933_q4,Compound Reasoning,fbd_0933.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 141.95, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 141.9507}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 141.9507}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0933_q5,Extrapolative/Counterfactual Reasoning,fbd_0933.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0934_q1,Image Description,fbd_0934.png,How many force arrows are shown in this diagram?,4
fbd_0934_q2,Basic Relational Reasoning,fbd_0934.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0934_q3,Comparative Reasoning,fbd_0934.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0934_q4,Compound Reasoning,fbd_0934.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.74, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 177.37}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 248.318}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0934_q5,Extrapolative/Counterfactual Reasoning,fbd_0934.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0935_q1,Image Description,fbd_0935.png,How many force arrows are shown in this diagram?,2
fbd_0935_q2,Basic Relational Reasoning,fbd_0935.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0935_q3,Comparative Reasoning,fbd_0935.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0935_q4,Compound Reasoning,fbd_0935.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 188.06, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 188.0577}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 188.0577}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0935_q5,Extrapolative/Counterfactual Reasoning,fbd_0935.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0936_q1,Image Description,fbd_0936.png,How many force arrows are shown in this diagram?,3
fbd_0936_q2,Basic Relational Reasoning,fbd_0936.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0936_q3,Comparative Reasoning,fbd_0936.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0936_q4,Compound Reasoning,fbd_0936.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 60.0, 'magnitude': 72.043614}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 60.0, 'magnitude': 100.86106}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0936_q5,Extrapolative/Counterfactual Reasoning,fbd_0936.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_0937_q1,Image Description,fbd_0937.png,How many force arrows are shown in this diagram?,4
fbd_0937_q2,Basic Relational Reasoning,fbd_0937.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0937_q3,Comparative Reasoning,fbd_0937.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0937_q4,Compound Reasoning,fbd_0937.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.64}"
fbd_0937_q5,Extrapolative/Counterfactual Reasoning,fbd_0937.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0938_q1,Image Description,fbd_0938.png,How many force arrows are shown in this diagram?,2
fbd_0938_q2,Basic Relational Reasoning,fbd_0938.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0938_q3,Comparative Reasoning,fbd_0938.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0938_q4,Compound Reasoning,fbd_0938.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 129.39}"
fbd_0938_q5,Extrapolative/Counterfactual Reasoning,fbd_0938.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0939_q1,Image Description,fbd_0939.png,How many force arrows are shown in this diagram?,4
fbd_0939_q2,Basic Relational Reasoning,fbd_0939.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0939_q3,Comparative Reasoning,fbd_0939.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0939_q4,Compound Reasoning,fbd_0939.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 202.87}"
fbd_0939_q5,Extrapolative/Counterfactual Reasoning,fbd_0939.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0940_q1,Image Description,fbd_0940.png,How many force arrows are shown in this diagram?,4
fbd_0940_q2,Basic Relational Reasoning,fbd_0940.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0940_q3,Comparative Reasoning,fbd_0940.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0940_q4,Compound Reasoning,fbd_0940.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.67, 'net_force_N': 0.0}"
fbd_0940_q5,Extrapolative/Counterfactual Reasoning,fbd_0940.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0941_q1,Image Description,fbd_0941.png,How many force arrows are shown in this diagram?,2
fbd_0941_q2,Basic Relational Reasoning,fbd_0941.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0941_q3,Comparative Reasoning,fbd_0941.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0941_q4,Compound Reasoning,fbd_0941.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 115.07}"
fbd_0941_q5,Extrapolative/Counterfactual Reasoning,fbd_0941.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0942_q1,Image Description,fbd_0942.png,How many force arrows are shown in this diagram?,3
fbd_0942_q2,Basic Relational Reasoning,fbd_0942.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0942_q3,Comparative Reasoning,fbd_0942.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0942_q4,Compound Reasoning,fbd_0942.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34}"
fbd_0942_q5,Extrapolative/Counterfactual Reasoning,fbd_0942.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_0943_q1,Image Description,fbd_0943.png,How many force arrows are shown in this diagram?,4
fbd_0943_q2,Basic Relational Reasoning,fbd_0943.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0943_q3,Comparative Reasoning,fbd_0943.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0943_q4,Compound Reasoning,fbd_0943.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 45.3, 'required_friction_coefficient': 0.55}"
fbd_0943_q5,Extrapolative/Counterfactual Reasoning,fbd_0943.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0944_q1,Image Description,fbd_0944.png,How many force arrows are shown in this diagram?,2
fbd_0944_q2,Basic Relational Reasoning,fbd_0944.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0944_q3,Comparative Reasoning,fbd_0944.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0944_q4,Compound Reasoning,fbd_0944.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 18.69, 'tension_magnitude': 42.03}"
fbd_0944_q5,Extrapolative/Counterfactual Reasoning,fbd_0944.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0945_q1,Image Description,fbd_0945.png,How many force arrows are shown in this diagram?,4
fbd_0945_q2,Basic Relational Reasoning,fbd_0945.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0945_q3,Comparative Reasoning,fbd_0945.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0945_q4,Compound Reasoning,fbd_0945.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 29.65, 'tension_magnitude': 156.88}"
fbd_0945_q5,Extrapolative/Counterfactual Reasoning,fbd_0945.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0946_q1,Image Description,fbd_0946.png,How many force arrows are shown in this diagram?,4
fbd_0946_q2,Basic Relational Reasoning,fbd_0946.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0946_q3,Comparative Reasoning,fbd_0946.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0946_q4,Compound Reasoning,fbd_0946.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 18.72}"
fbd_0946_q5,Extrapolative/Counterfactual Reasoning,fbd_0946.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (350.3 degrees; 0=right, 90=up)"
fbd_0947_q1,Image Description,fbd_0947.png,How many force arrows are shown in this diagram?,2
fbd_0947_q2,Basic Relational Reasoning,fbd_0947.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0947_q3,Comparative Reasoning,fbd_0947.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0947_q4,Compound Reasoning,fbd_0947.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 25.98, 'support_force_magnitude': 116.04}"
fbd_0947_q5,Extrapolative/Counterfactual Reasoning,fbd_0947.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0948_q1,Image Description,fbd_0948.png,How many force arrows are shown in this diagram?,3
fbd_0948_q2,Basic Relational Reasoning,fbd_0948.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0948_q3,Comparative Reasoning,fbd_0948.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0948_q4,Compound Reasoning,fbd_0948.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 38.98, 'required_friction_coefficient': 0.22}"
fbd_0948_q5,Extrapolative/Counterfactual Reasoning,fbd_0948.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (257.5 degrees; 0=right, 90=up)"
fbd_0949_q1,Image Description,fbd_0949.png,How many force arrows are shown in this diagram?,3
fbd_0949_q2,Basic Relational Reasoning,fbd_0949.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0949_q3,Comparative Reasoning,fbd_0949.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0949_q4,Compound Reasoning,fbd_0949.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_0949_q5,Extrapolative/Counterfactual Reasoning,fbd_0949.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0950_q1,Image Description,fbd_0950.png,How many force arrows are shown in this diagram?,1
fbd_0950_q2,Basic Relational Reasoning,fbd_0950.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0950_q3,Comparative Reasoning,fbd_0950.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0950_q4,Compound Reasoning,fbd_0950.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 92.21}"
fbd_0950_q5,Extrapolative/Counterfactual Reasoning,fbd_0950.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0951_q1,Image Description,fbd_0951.png,How many force arrows are shown in this diagram?,3
fbd_0951_q2,Basic Relational Reasoning,fbd_0951.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0951_q3,Comparative Reasoning,fbd_0951.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0951_q4,Compound Reasoning,fbd_0951.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 177.17}"
fbd_0951_q5,Extrapolative/Counterfactual Reasoning,fbd_0951.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0952_q1,Image Description,fbd_0952.png,How many force arrows are shown in this diagram?,3
fbd_0952_q2,Basic Relational Reasoning,fbd_0952.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0952_q3,Comparative Reasoning,fbd_0952.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0952_q4,Compound Reasoning,fbd_0952.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.73, 'net_force_N': 0.0}"
fbd_0952_q5,Extrapolative/Counterfactual Reasoning,fbd_0952.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0953_q1,Image Description,fbd_0953.png,How many force arrows are shown in this diagram?,1
fbd_0953_q2,Basic Relational Reasoning,fbd_0953.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0953_q3,Comparative Reasoning,fbd_0953.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0953_q4,Compound Reasoning,fbd_0953.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 59.55}"
fbd_0953_q5,Extrapolative/Counterfactual Reasoning,fbd_0953.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0954_q1,Image Description,fbd_0954.png,How many force arrows are shown in this diagram?,2
fbd_0954_q2,Basic Relational Reasoning,fbd_0954.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0954_q3,Comparative Reasoning,fbd_0954.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0954_q4,Compound Reasoning,fbd_0954.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29}"
fbd_0954_q5,Extrapolative/Counterfactual Reasoning,fbd_0954.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_0955_q1,Image Description,fbd_0955.png,How many force arrows are shown in this diagram?,4
fbd_0955_q2,Basic Relational Reasoning,fbd_0955.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0955_q3,Comparative Reasoning,fbd_0955.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0955_q4,Compound Reasoning,fbd_0955.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.56, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 122.0, 'magnitude': 138.434014}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 157.0, 'magnitude': 138.434014}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0955_q5,Extrapolative/Counterfactual Reasoning,fbd_0955.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0956_q1,Image Description,fbd_0956.png,How many force arrows are shown in this diagram?,2
fbd_0956_q2,Basic Relational Reasoning,fbd_0956.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0956_q3,Comparative Reasoning,fbd_0956.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0956_q4,Compound Reasoning,fbd_0956.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 166.08, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 166.0833}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 232.51662}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0956_q5,Extrapolative/Counterfactual Reasoning,fbd_0956.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0957_q1,Image Description,fbd_0957.png,How many force arrows are shown in this diagram?,4
fbd_0957_q2,Basic Relational Reasoning,fbd_0957.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0957_q3,Comparative Reasoning,fbd_0957.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0957_q4,Compound Reasoning,fbd_0957.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 131.45, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 131.454}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 131.454}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0957_q5,Extrapolative/Counterfactual Reasoning,fbd_0957.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0958_q1,Image Description,fbd_0958.png,How many force arrows are shown in this diagram?,4
fbd_0958_q2,Basic Relational Reasoning,fbd_0958.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0958_q3,Comparative Reasoning,fbd_0958.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0958_q4,Compound Reasoning,fbd_0958.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 201.38}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 281.932}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0958_q5,Extrapolative/Counterfactual Reasoning,fbd_0958.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0959_q1,Image Description,fbd_0959.png,How many force arrows are shown in this diagram?,2
fbd_0959_q2,Basic Relational Reasoning,fbd_0959.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0959_q3,Comparative Reasoning,fbd_0959.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0959_q4,Compound Reasoning,fbd_0959.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 133.42, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 133.416}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 133.416}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0959_q5,Extrapolative/Counterfactual Reasoning,fbd_0959.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0960_q1,Image Description,fbd_0960.png,How many force arrows are shown in this diagram?,3
fbd_0960_q2,Basic Relational Reasoning,fbd_0960.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0960_q3,Comparative Reasoning,fbd_0960.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0960_q4,Compound Reasoning,fbd_0960.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.32, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 72.0, 'magnitude': 113.917645}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 72.0, 'magnitude': 159.484703}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0960_q5,Extrapolative/Counterfactual Reasoning,fbd_0960.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_0961_q1,Image Description,fbd_0961.png,How many force arrows are shown in this diagram?,4
fbd_0961_q2,Basic Relational Reasoning,fbd_0961.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0961_q3,Comparative Reasoning,fbd_0961.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0961_q4,Compound Reasoning,fbd_0961.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.59}"
fbd_0961_q5,Extrapolative/Counterfactual Reasoning,fbd_0961.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0962_q1,Image Description,fbd_0962.png,How many force arrows are shown in this diagram?,2
fbd_0962_q2,Basic Relational Reasoning,fbd_0962.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0962_q3,Comparative Reasoning,fbd_0962.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0962_q4,Compound Reasoning,fbd_0962.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 98.59}"
fbd_0962_q5,Extrapolative/Counterfactual Reasoning,fbd_0962.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0963_q1,Image Description,fbd_0963.png,How many force arrows are shown in this diagram?,4
fbd_0963_q2,Basic Relational Reasoning,fbd_0963.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0963_q3,Comparative Reasoning,fbd_0963.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0963_q4,Compound Reasoning,fbd_0963.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 215.13}"
fbd_0963_q5,Extrapolative/Counterfactual Reasoning,fbd_0963.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0964_q1,Image Description,fbd_0964.png,How many force arrows are shown in this diagram?,4
fbd_0964_q2,Basic Relational Reasoning,fbd_0964.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0964_q3,Comparative Reasoning,fbd_0964.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0964_q4,Compound Reasoning,fbd_0964.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0}"
fbd_0964_q5,Extrapolative/Counterfactual Reasoning,fbd_0964.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0965_q1,Image Description,fbd_0965.png,How many force arrows are shown in this diagram?,2
fbd_0965_q2,Basic Relational Reasoning,fbd_0965.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0965_q3,Comparative Reasoning,fbd_0965.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0965_q4,Compound Reasoning,fbd_0965.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 94.96}"
fbd_0965_q5,Extrapolative/Counterfactual Reasoning,fbd_0965.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0966_q1,Image Description,fbd_0966.png,How many force arrows are shown in this diagram?,3
fbd_0966_q2,Basic Relational Reasoning,fbd_0966.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0966_q3,Comparative Reasoning,fbd_0966.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0966_q4,Compound Reasoning,fbd_0966.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_0966_q5,Extrapolative/Counterfactual Reasoning,fbd_0966.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_0967_q1,Image Description,fbd_0967.png,How many force arrows are shown in this diagram?,4
fbd_0967_q2,Basic Relational Reasoning,fbd_0967.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0967_q3,Comparative Reasoning,fbd_0967.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0967_q4,Compound Reasoning,fbd_0967.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 57.76, 'required_friction_coefficient': 0.44}"
fbd_0967_q5,Extrapolative/Counterfactual Reasoning,fbd_0967.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0968_q1,Image Description,fbd_0968.png,How many force arrows are shown in this diagram?,2
fbd_0968_q2,Basic Relational Reasoning,fbd_0968.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0968_q3,Comparative Reasoning,fbd_0968.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0968_q4,Compound Reasoning,fbd_0968.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 30.76, 'tension_magnitude': 154.36}"
fbd_0968_q5,Extrapolative/Counterfactual Reasoning,fbd_0968.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0969_q1,Image Description,fbd_0969.png,How many force arrows are shown in this diagram?,4
fbd_0969_q2,Basic Relational Reasoning,fbd_0969.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0969_q3,Comparative Reasoning,fbd_0969.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0969_q4,Compound Reasoning,fbd_0969.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 28.4, 'tension_magnitude': 146.61}"
fbd_0969_q5,Extrapolative/Counterfactual Reasoning,fbd_0969.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0970_q1,Image Description,fbd_0970.png,How many force arrows are shown in this diagram?,4
fbd_0970_q2,Basic Relational Reasoning,fbd_0970.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0970_q3,Comparative Reasoning,fbd_0970.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0970_q4,Compound Reasoning,fbd_0970.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 60.82}"
fbd_0970_q5,Extrapolative/Counterfactual Reasoning,fbd_0970.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (349.5 degrees; 0=right, 90=up)"
fbd_0971_q1,Image Description,fbd_0971.png,How many force arrows are shown in this diagram?,2
fbd_0971_q2,Basic Relational Reasoning,fbd_0971.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0971_q3,Comparative Reasoning,fbd_0971.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0971_q4,Compound Reasoning,fbd_0971.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 13.38, 'support_force_magnitude': 113.54}"
fbd_0971_q5,Extrapolative/Counterfactual Reasoning,fbd_0971.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0972_q1,Image Description,fbd_0972.png,How many force arrows are shown in this diagram?,3
fbd_0972_q2,Basic Relational Reasoning,fbd_0972.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0972_q3,Comparative Reasoning,fbd_0972.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0972_q4,Compound Reasoning,fbd_0972.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 36.89, 'required_friction_coefficient': 0.21}"
fbd_0972_q5,Extrapolative/Counterfactual Reasoning,fbd_0972.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (258 degrees; 0=right, 90=up)"
fbd_0973_q1,Image Description,fbd_0973.png,How many force arrows are shown in this diagram?,3
fbd_0973_q2,Basic Relational Reasoning,fbd_0973.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0973_q3,Comparative Reasoning,fbd_0973.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0973_q4,Compound Reasoning,fbd_0973.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.39}"
fbd_0973_q5,Extrapolative/Counterfactual Reasoning,fbd_0973.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0974_q1,Image Description,fbd_0974.png,How many force arrows are shown in this diagram?,1
fbd_0974_q2,Basic Relational Reasoning,fbd_0974.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0974_q3,Comparative Reasoning,fbd_0974.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0974_q4,Compound Reasoning,fbd_0974.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 200.61}"
fbd_0974_q5,Extrapolative/Counterfactual Reasoning,fbd_0974.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0975_q1,Image Description,fbd_0975.png,How many force arrows are shown in this diagram?,3
fbd_0975_q2,Basic Relational Reasoning,fbd_0975.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0975_q3,Comparative Reasoning,fbd_0975.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0975_q4,Compound Reasoning,fbd_0975.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 136.56}"
fbd_0975_q5,Extrapolative/Counterfactual Reasoning,fbd_0975.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0976_q1,Image Description,fbd_0976.png,How many force arrows are shown in this diagram?,3
fbd_0976_q2,Basic Relational Reasoning,fbd_0976.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0976_q3,Comparative Reasoning,fbd_0976.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0976_q4,Compound Reasoning,fbd_0976.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0}"
fbd_0976_q5,Extrapolative/Counterfactual Reasoning,fbd_0976.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0977_q1,Image Description,fbd_0977.png,How many force arrows are shown in this diagram?,1
fbd_0977_q2,Basic Relational Reasoning,fbd_0977.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0977_q3,Comparative Reasoning,fbd_0977.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0977_q4,Compound Reasoning,fbd_0977.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 157.84}"
fbd_0977_q5,Extrapolative/Counterfactual Reasoning,fbd_0977.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0978_q1,Image Description,fbd_0978.png,How many force arrows are shown in this diagram?,2
fbd_0978_q2,Basic Relational Reasoning,fbd_0978.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_0978_q3,Comparative Reasoning,fbd_0978.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0978_q4,Compound Reasoning,fbd_0978.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.32}"
fbd_0978_q5,Extrapolative/Counterfactual Reasoning,fbd_0978.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_0979_q1,Image Description,fbd_0979.png,How many force arrows are shown in this diagram?,4
fbd_0979_q2,Basic Relational Reasoning,fbd_0979.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0979_q3,Comparative Reasoning,fbd_0979.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0979_q4,Compound Reasoning,fbd_0979.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.68, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 127.0, 'magnitude': 105.688948}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 162.0, 'magnitude': 105.688948}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0979_q5,Extrapolative/Counterfactual Reasoning,fbd_0979.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_0980_q1,Image Description,fbd_0980.png,How many force arrows are shown in this diagram?,2
fbd_0980_q2,Basic Relational Reasoning,fbd_0980.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0980_q3,Comparative Reasoning,fbd_0980.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0980_q4,Compound Reasoning,fbd_0980.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 125.86, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 125.8623}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 176.20722}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_0980_q5,Extrapolative/Counterfactual Reasoning,fbd_0980.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0981_q1,Image Description,fbd_0981.png,How many force arrows are shown in this diagram?,4
fbd_0981_q2,Basic Relational Reasoning,fbd_0981.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0981_q3,Comparative Reasoning,fbd_0981.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0981_q4,Compound Reasoning,fbd_0981.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 202.87, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 202.8708}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 202.8708}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_0981_q5,Extrapolative/Counterfactual Reasoning,fbd_0981.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0982_q1,Image Description,fbd_0982.png,How many force arrows are shown in this diagram?,4
fbd_0982_q2,Basic Relational Reasoning,fbd_0982.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0982_q3,Comparative Reasoning,fbd_0982.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0982_q4,Compound Reasoning,fbd_0982.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 250.17}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 350.238}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0982_q5,Extrapolative/Counterfactual Reasoning,fbd_0982.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0983_q1,Image Description,fbd_0983.png,How many force arrows are shown in this diagram?,2
fbd_0983_q2,Basic Relational Reasoning,fbd_0983.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0983_q3,Comparative Reasoning,fbd_0983.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0983_q4,Compound Reasoning,fbd_0983.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 162.94, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 162.9441}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 162.9441}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_0983_q5,Extrapolative/Counterfactual Reasoning,fbd_0983.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0984_q1,Image Description,fbd_0984.png,How many force arrows are shown in this diagram?,3
fbd_0984_q2,Basic Relational Reasoning,fbd_0984.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0984_q3,Comparative Reasoning,fbd_0984.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0984_q4,Compound Reasoning,fbd_0984.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 64.0, 'magnitude': 165.32193}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 64.0, 'magnitude': 231.450702}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_0984_q5,Extrapolative/Counterfactual Reasoning,fbd_0984.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_0985_q1,Image Description,fbd_0985.png,How many force arrows are shown in this diagram?,4
fbd_0985_q2,Basic Relational Reasoning,fbd_0985.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0985_q3,Comparative Reasoning,fbd_0985.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0985_q4,Compound Reasoning,fbd_0985.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_0985_q5,Extrapolative/Counterfactual Reasoning,fbd_0985.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0986_q1,Image Description,fbd_0986.png,How many force arrows are shown in this diagram?,2
fbd_0986_q2,Basic Relational Reasoning,fbd_0986.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0986_q3,Comparative Reasoning,fbd_0986.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0986_q4,Compound Reasoning,fbd_0986.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 77.79}"
fbd_0986_q5,Extrapolative/Counterfactual Reasoning,fbd_0986.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0987_q1,Image Description,fbd_0987.png,How many force arrows are shown in this diagram?,4
fbd_0987_q2,Basic Relational Reasoning,fbd_0987.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0987_q3,Comparative Reasoning,fbd_0987.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0987_q4,Compound Reasoning,fbd_0987.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 142.44}"
fbd_0987_q5,Extrapolative/Counterfactual Reasoning,fbd_0987.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0988_q1,Image Description,fbd_0988.png,How many force arrows are shown in this diagram?,4
fbd_0988_q2,Basic Relational Reasoning,fbd_0988.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0988_q3,Comparative Reasoning,fbd_0988.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0988_q4,Compound Reasoning,fbd_0988.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 0.0}"
fbd_0988_q5,Extrapolative/Counterfactual Reasoning,fbd_0988.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_0989_q1,Image Description,fbd_0989.png,How many force arrows are shown in this diagram?,2
fbd_0989_q2,Basic Relational Reasoning,fbd_0989.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0989_q3,Comparative Reasoning,fbd_0989.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0989_q4,Compound Reasoning,fbd_0989.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 195.02}"
fbd_0989_q5,Extrapolative/Counterfactual Reasoning,fbd_0989.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0990_q1,Image Description,fbd_0990.png,How many force arrows are shown in this diagram?,3
fbd_0990_q2,Basic Relational Reasoning,fbd_0990.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0990_q3,Comparative Reasoning,fbd_0990.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0990_q4,Compound Reasoning,fbd_0990.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29}"
fbd_0990_q5,Extrapolative/Counterfactual Reasoning,fbd_0990.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_0991_q1,Image Description,fbd_0991.png,How many force arrows are shown in this diagram?,4
fbd_0991_q2,Basic Relational Reasoning,fbd_0991.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_0991_q3,Comparative Reasoning,fbd_0991.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0991_q4,Compound Reasoning,fbd_0991.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 34.55, 'required_friction_coefficient': 0.63}"
fbd_0991_q5,Extrapolative/Counterfactual Reasoning,fbd_0991.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0992_q1,Image Description,fbd_0992.png,How many force arrows are shown in this diagram?,2
fbd_0992_q2,Basic Relational Reasoning,fbd_0992.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0992_q3,Comparative Reasoning,fbd_0992.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0992_q4,Compound Reasoning,fbd_0992.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 38.92, 'tension_magnitude': 173.18}"
fbd_0992_q5,Extrapolative/Counterfactual Reasoning,fbd_0992.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0993_q1,Image Description,fbd_0993.png,How many force arrows are shown in this diagram?,4
fbd_0993_q2,Basic Relational Reasoning,fbd_0993.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_0993_q3,Comparative Reasoning,fbd_0993.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0993_q4,Compound Reasoning,fbd_0993.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 13.98, 'tension_magnitude': 82.45}"
fbd_0993_q5,Extrapolative/Counterfactual Reasoning,fbd_0993.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0994_q1,Image Description,fbd_0994.png,How many force arrows are shown in this diagram?,4
fbd_0994_q2,Basic Relational Reasoning,fbd_0994.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_0994_q3,Comparative Reasoning,fbd_0994.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0994_q4,Compound Reasoning,fbd_0994.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 86.14}"
fbd_0994_q5,Extrapolative/Counterfactual Reasoning,fbd_0994.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (346.8 degrees; 0=right, 90=up)"
fbd_0995_q1,Image Description,fbd_0995.png,How many force arrows are shown in this diagram?,2
fbd_0995_q2,Basic Relational Reasoning,fbd_0995.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_0995_q3,Comparative Reasoning,fbd_0995.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_0995_q4,Compound Reasoning,fbd_0995.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 22.45, 'support_force_magnitude': 109.86}"
fbd_0995_q5,Extrapolative/Counterfactual Reasoning,fbd_0995.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0996_q1,Image Description,fbd_0996.png,How many force arrows are shown in this diagram?,3
fbd_0996_q2,Basic Relational Reasoning,fbd_0996.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_0996_q3,Comparative Reasoning,fbd_0996.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_0996_q4,Compound Reasoning,fbd_0996.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 38.86, 'required_friction_coefficient': 0.22}"
fbd_0996_q5,Extrapolative/Counterfactual Reasoning,fbd_0996.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (257.9 degrees; 0=right, 90=up)"
fbd_0997_q1,Image Description,fbd_0997.png,How many force arrows are shown in this diagram?,3
fbd_0997_q2,Basic Relational Reasoning,fbd_0997.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_0997_q3,Comparative Reasoning,fbd_0997.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0997_q4,Compound Reasoning,fbd_0997.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_0997_q5,Extrapolative/Counterfactual Reasoning,fbd_0997.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_0998_q1,Image Description,fbd_0998.png,How many force arrows are shown in this diagram?,1
fbd_0998_q2,Basic Relational Reasoning,fbd_0998.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_0998_q3,Comparative Reasoning,fbd_0998.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0998_q4,Compound Reasoning,fbd_0998.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 84.76}"
fbd_0998_q5,Extrapolative/Counterfactual Reasoning,fbd_0998.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_0999_q1,Image Description,fbd_0999.png,How many force arrows are shown in this diagram?,3
fbd_0999_q2,Basic Relational Reasoning,fbd_0999.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_0999_q3,Comparative Reasoning,fbd_0999.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_0999_q4,Compound Reasoning,fbd_0999.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 181.49}"
fbd_0999_q5,Extrapolative/Counterfactual Reasoning,fbd_0999.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1000_q1,Image Description,fbd_1000.png,How many force arrows are shown in this diagram?,3
fbd_1000_q2,Basic Relational Reasoning,fbd_1000.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1000_q3,Comparative Reasoning,fbd_1000.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1000_q4,Compound Reasoning,fbd_1000.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 0.0}"
fbd_1000_q5,Extrapolative/Counterfactual Reasoning,fbd_1000.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1001_q1,Image Description,fbd_1001.png,How many force arrows are shown in this diagram?,1
fbd_1001_q2,Basic Relational Reasoning,fbd_1001.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1001_q3,Comparative Reasoning,fbd_1001.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1001_q4,Compound Reasoning,fbd_1001.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 183.94}"
fbd_1001_q5,Extrapolative/Counterfactual Reasoning,fbd_1001.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1002_q1,Image Description,fbd_1002.png,How many force arrows are shown in this diagram?,2
fbd_1002_q2,Basic Relational Reasoning,fbd_1002.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1002_q3,Comparative Reasoning,fbd_1002.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1002_q4,Compound Reasoning,fbd_1002.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_1002_q5,Extrapolative/Counterfactual Reasoning,fbd_1002.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_1003_q1,Image Description,fbd_1003.png,How many force arrows are shown in this diagram?,4
fbd_1003_q2,Basic Relational Reasoning,fbd_1003.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1003_q3,Comparative Reasoning,fbd_1003.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1003_q4,Compound Reasoning,fbd_1003.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.52, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 120.0, 'magnitude': 118.600101}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 155.0, 'magnitude': 118.600101}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1003_q5,Extrapolative/Counterfactual Reasoning,fbd_1003.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1004_q1,Image Description,fbd_1004.png,How many force arrows are shown in this diagram?,2
fbd_1004_q2,Basic Relational Reasoning,fbd_1004.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1004_q3,Comparative Reasoning,fbd_1004.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1004_q4,Compound Reasoning,fbd_1004.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 124.98, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 124.9794}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 174.97116}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1004_q5,Extrapolative/Counterfactual Reasoning,fbd_1004.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1005_q1,Image Description,fbd_1005.png,How many force arrows are shown in this diagram?,4
fbd_1005_q2,Basic Relational Reasoning,fbd_1005.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1005_q3,Comparative Reasoning,fbd_1005.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1005_q4,Compound Reasoning,fbd_1005.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 134.69, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 134.6913}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 134.6913}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1005_q5,Extrapolative/Counterfactual Reasoning,fbd_1005.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1006_q1,Image Description,fbd_1006.png,How many force arrows are shown in this diagram?,4
fbd_1006_q2,Basic Relational Reasoning,fbd_1006.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1006_q3,Comparative Reasoning,fbd_1006.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1006_q4,Compound Reasoning,fbd_1006.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.68, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 167.21}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 234.094}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1006_q5,Extrapolative/Counterfactual Reasoning,fbd_1006.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1007_q1,Image Description,fbd_1007.png,How many force arrows are shown in this diagram?,2
fbd_1007_q2,Basic Relational Reasoning,fbd_1007.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1007_q3,Comparative Reasoning,fbd_1007.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1007_q4,Compound Reasoning,fbd_1007.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 193.26, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 193.257}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 193.257}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1007_q5,Extrapolative/Counterfactual Reasoning,fbd_1007.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1008_q1,Image Description,fbd_1008.png,How many force arrows are shown in this diagram?,3
fbd_1008_q2,Basic Relational Reasoning,fbd_1008.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1008_q3,Comparative Reasoning,fbd_1008.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1008_q4,Compound Reasoning,fbd_1008.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 67.0, 'magnitude': 129.311785}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 67.0, 'magnitude': 181.036499}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1008_q5,Extrapolative/Counterfactual Reasoning,fbd_1008.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_1009_q1,Image Description,fbd_1009.png,How many force arrows are shown in this diagram?,4
fbd_1009_q2,Basic Relational Reasoning,fbd_1009.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1009_q3,Comparative Reasoning,fbd_1009.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1009_q4,Compound Reasoning,fbd_1009.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_1009_q5,Extrapolative/Counterfactual Reasoning,fbd_1009.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1010_q1,Image Description,fbd_1010.png,How many force arrows are shown in this diagram?,2
fbd_1010_q2,Basic Relational Reasoning,fbd_1010.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1010_q3,Comparative Reasoning,fbd_1010.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1010_q4,Compound Reasoning,fbd_1010.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 164.22}"
fbd_1010_q5,Extrapolative/Counterfactual Reasoning,fbd_1010.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1011_q1,Image Description,fbd_1011.png,How many force arrows are shown in this diagram?,4
fbd_1011_q2,Basic Relational Reasoning,fbd_1011.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1011_q3,Comparative Reasoning,fbd_1011.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1011_q4,Compound Reasoning,fbd_1011.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 116.44}"
fbd_1011_q5,Extrapolative/Counterfactual Reasoning,fbd_1011.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1012_q1,Image Description,fbd_1012.png,How many force arrows are shown in this diagram?,4
fbd_1012_q2,Basic Relational Reasoning,fbd_1012.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1012_q3,Comparative Reasoning,fbd_1012.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1012_q4,Compound Reasoning,fbd_1012.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.7, 'net_force_N': 0.0}"
fbd_1012_q5,Extrapolative/Counterfactual Reasoning,fbd_1012.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1013_q1,Image Description,fbd_1013.png,How many force arrows are shown in this diagram?,2
fbd_1013_q2,Basic Relational Reasoning,fbd_1013.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1013_q3,Comparative Reasoning,fbd_1013.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1013_q4,Compound Reasoning,fbd_1013.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 201.01}"
fbd_1013_q5,Extrapolative/Counterfactual Reasoning,fbd_1013.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1014_q1,Image Description,fbd_1014.png,How many force arrows are shown in this diagram?,3
fbd_1014_q2,Basic Relational Reasoning,fbd_1014.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1014_q3,Comparative Reasoning,fbd_1014.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1014_q4,Compound Reasoning,fbd_1014.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34}"
fbd_1014_q5,Extrapolative/Counterfactual Reasoning,fbd_1014.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_1015_q1,Image Description,fbd_1015.png,How many force arrows are shown in this diagram?,4
fbd_1015_q2,Basic Relational Reasoning,fbd_1015.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1015_q3,Comparative Reasoning,fbd_1015.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1015_q4,Compound Reasoning,fbd_1015.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 16.19, 'required_friction_coefficient': 0.46}"
fbd_1015_q5,Extrapolative/Counterfactual Reasoning,fbd_1015.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1016_q1,Image Description,fbd_1016.png,How many force arrows are shown in this diagram?,2
fbd_1016_q2,Basic Relational Reasoning,fbd_1016.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1016_q3,Comparative Reasoning,fbd_1016.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1016_q4,Compound Reasoning,fbd_1016.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 22.02, 'tension_magnitude': 94.13}"
fbd_1016_q5,Extrapolative/Counterfactual Reasoning,fbd_1016.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1017_q1,Image Description,fbd_1017.png,How many force arrows are shown in this diagram?,4
fbd_1017_q2,Basic Relational Reasoning,fbd_1017.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1017_q3,Comparative Reasoning,fbd_1017.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1017_q4,Compound Reasoning,fbd_1017.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 28.73, 'tension_magnitude': 163.13}"
fbd_1017_q5,Extrapolative/Counterfactual Reasoning,fbd_1017.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1018_q1,Image Description,fbd_1018.png,How many force arrows are shown in this diagram?,4
fbd_1018_q2,Basic Relational Reasoning,fbd_1018.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1018_q3,Comparative Reasoning,fbd_1018.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1018_q4,Compound Reasoning,fbd_1018.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 43.17}"
fbd_1018_q5,Extrapolative/Counterfactual Reasoning,fbd_1018.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (348.6 degrees; 0=right, 90=up)"
fbd_1019_q1,Image Description,fbd_1019.png,How many force arrows are shown in this diagram?,2
fbd_1019_q2,Basic Relational Reasoning,fbd_1019.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1019_q3,Comparative Reasoning,fbd_1019.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1019_q4,Compound Reasoning,fbd_1019.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 7.86, 'support_force_magnitude': 56.4}"
fbd_1019_q5,Extrapolative/Counterfactual Reasoning,fbd_1019.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1020_q1,Image Description,fbd_1020.png,How many force arrows are shown in this diagram?,3
fbd_1020_q2,Basic Relational Reasoning,fbd_1020.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1020_q3,Comparative Reasoning,fbd_1020.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1020_q4,Compound Reasoning,fbd_1020.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 18.48, 'required_friction_coefficient': 0.17}"
fbd_1020_q5,Extrapolative/Counterfactual Reasoning,fbd_1020.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (260.6 degrees; 0=right, 90=up)"
fbd_1021_q1,Image Description,fbd_1021.png,How many force arrows are shown in this diagram?,3
fbd_1021_q2,Basic Relational Reasoning,fbd_1021.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1021_q3,Comparative Reasoning,fbd_1021.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1021_q4,Compound Reasoning,fbd_1021.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.44}"
fbd_1021_q5,Extrapolative/Counterfactual Reasoning,fbd_1021.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1022_q1,Image Description,fbd_1022.png,How many force arrows are shown in this diagram?,1
fbd_1022_q2,Basic Relational Reasoning,fbd_1022.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1022_q3,Comparative Reasoning,fbd_1022.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1022_q4,Compound Reasoning,fbd_1022.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 79.66}"
fbd_1022_q5,Extrapolative/Counterfactual Reasoning,fbd_1022.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1023_q1,Image Description,fbd_1023.png,How many force arrows are shown in this diagram?,3
fbd_1023_q2,Basic Relational Reasoning,fbd_1023.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1023_q3,Comparative Reasoning,fbd_1023.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1023_q4,Compound Reasoning,fbd_1023.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 135.57}"
fbd_1023_q5,Extrapolative/Counterfactual Reasoning,fbd_1023.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1024_q1,Image Description,fbd_1024.png,How many force arrows are shown in this diagram?,3
fbd_1024_q2,Basic Relational Reasoning,fbd_1024.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1024_q3,Comparative Reasoning,fbd_1024.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1024_q4,Compound Reasoning,fbd_1024.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0}"
fbd_1024_q5,Extrapolative/Counterfactual Reasoning,fbd_1024.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1025_q1,Image Description,fbd_1025.png,How many force arrows are shown in this diagram?,1
fbd_1025_q2,Basic Relational Reasoning,fbd_1025.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1025_q3,Comparative Reasoning,fbd_1025.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1025_q4,Compound Reasoning,fbd_1025.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 91.82}"
fbd_1025_q5,Extrapolative/Counterfactual Reasoning,fbd_1025.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1026_q1,Image Description,fbd_1026.png,How many force arrows are shown in this diagram?,2
fbd_1026_q2,Basic Relational Reasoning,fbd_1026.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1026_q3,Comparative Reasoning,fbd_1026.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1026_q4,Compound Reasoning,fbd_1026.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_1026_q5,Extrapolative/Counterfactual Reasoning,fbd_1026.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_1027_q1,Image Description,fbd_1027.png,How many force arrows are shown in this diagram?,4
fbd_1027_q2,Basic Relational Reasoning,fbd_1027.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1027_q3,Comparative Reasoning,fbd_1027.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1027_q4,Compound Reasoning,fbd_1027.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 116.0, 'magnitude': 55.724512}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 151.0, 'magnitude': 55.724512}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1027_q5,Extrapolative/Counterfactual Reasoning,fbd_1027.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1028_q1,Image Description,fbd_1028.png,How many force arrows are shown in this diagram?,2
fbd_1028_q2,Basic Relational Reasoning,fbd_1028.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1028_q3,Comparative Reasoning,fbd_1028.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1028_q4,Compound Reasoning,fbd_1028.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 131.45, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 131.454}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 184.0356}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1028_q5,Extrapolative/Counterfactual Reasoning,fbd_1028.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1029_q1,Image Description,fbd_1029.png,How many force arrows are shown in this diagram?,4
fbd_1029_q2,Basic Relational Reasoning,fbd_1029.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1029_q3,Comparative Reasoning,fbd_1029.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1029_q4,Compound Reasoning,fbd_1029.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 153.72, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 153.7227}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 153.7227}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1029_q5,Extrapolative/Counterfactual Reasoning,fbd_1029.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1030_q1,Image Description,fbd_1030.png,How many force arrows are shown in this diagram?,4
fbd_1030_q2,Basic Relational Reasoning,fbd_1030.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1030_q3,Comparative Reasoning,fbd_1030.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1030_q4,Compound Reasoning,fbd_1030.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 331.48}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 464.072}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1030_q5,Extrapolative/Counterfactual Reasoning,fbd_1030.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1031_q1,Image Description,fbd_1031.png,How many force arrows are shown in this diagram?,2
fbd_1031_q2,Basic Relational Reasoning,fbd_1031.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1031_q3,Comparative Reasoning,fbd_1031.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1031_q4,Compound Reasoning,fbd_1031.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 168.83, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 168.8301}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 168.8301}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1031_q5,Extrapolative/Counterfactual Reasoning,fbd_1031.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1032_q1,Image Description,fbd_1032.png,How many force arrows are shown in this diagram?,3
fbd_1032_q2,Basic Relational Reasoning,fbd_1032.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1032_q3,Comparative Reasoning,fbd_1032.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1032_q4,Compound Reasoning,fbd_1032.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 66.0, 'magnitude': 109.245329}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 66.0, 'magnitude': 152.943461}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1032_q5,Extrapolative/Counterfactual Reasoning,fbd_1032.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (246 degrees; 0=right, 90=up)"
fbd_1033_q1,Image Description,fbd_1033.png,How many force arrows are shown in this diagram?,4
fbd_1033_q2,Basic Relational Reasoning,fbd_1033.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1033_q3,Comparative Reasoning,fbd_1033.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1033_q4,Compound Reasoning,fbd_1033.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45}"
fbd_1033_q5,Extrapolative/Counterfactual Reasoning,fbd_1033.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1034_q1,Image Description,fbd_1034.png,How many force arrows are shown in this diagram?,2
fbd_1034_q2,Basic Relational Reasoning,fbd_1034.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1034_q3,Comparative Reasoning,fbd_1034.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1034_q4,Compound Reasoning,fbd_1034.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 188.06}"
fbd_1034_q5,Extrapolative/Counterfactual Reasoning,fbd_1034.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1035_q1,Image Description,fbd_1035.png,How many force arrows are shown in this diagram?,4
fbd_1035_q2,Basic Relational Reasoning,fbd_1035.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1035_q3,Comparative Reasoning,fbd_1035.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1035_q4,Compound Reasoning,fbd_1035.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 178.25}"
fbd_1035_q5,Extrapolative/Counterfactual Reasoning,fbd_1035.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1036_q1,Image Description,fbd_1036.png,How many force arrows are shown in this diagram?,4
fbd_1036_q2,Basic Relational Reasoning,fbd_1036.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1036_q3,Comparative Reasoning,fbd_1036.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1036_q4,Compound Reasoning,fbd_1036.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0}"
fbd_1036_q5,Extrapolative/Counterfactual Reasoning,fbd_1036.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1037_q1,Image Description,fbd_1037.png,How many force arrows are shown in this diagram?,2
fbd_1037_q2,Basic Relational Reasoning,fbd_1037.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1037_q3,Comparative Reasoning,fbd_1037.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1037_q4,Compound Reasoning,fbd_1037.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 72.1}"
fbd_1037_q5,Extrapolative/Counterfactual Reasoning,fbd_1037.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1038_q1,Image Description,fbd_1038.png,How many force arrows are shown in this diagram?,3
fbd_1038_q2,Basic Relational Reasoning,fbd_1038.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1038_q3,Comparative Reasoning,fbd_1038.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1038_q4,Compound Reasoning,fbd_1038.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36}"
fbd_1038_q5,Extrapolative/Counterfactual Reasoning,fbd_1038.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_1039_q1,Image Description,fbd_1039.png,How many force arrows are shown in this diagram?,4
fbd_1039_q2,Basic Relational Reasoning,fbd_1039.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1039_q3,Comparative Reasoning,fbd_1039.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1039_q4,Compound Reasoning,fbd_1039.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 53.64, 'required_friction_coefficient': 0.46}"
fbd_1039_q5,Extrapolative/Counterfactual Reasoning,fbd_1039.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1040_q1,Image Description,fbd_1040.png,How many force arrows are shown in this diagram?,2
fbd_1040_q2,Basic Relational Reasoning,fbd_1040.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1040_q3,Comparative Reasoning,fbd_1040.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1040_q4,Compound Reasoning,fbd_1040.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 24.48, 'tension_magnitude': 82.25}"
fbd_1040_q5,Extrapolative/Counterfactual Reasoning,fbd_1040.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1041_q1,Image Description,fbd_1041.png,How many force arrows are shown in this diagram?,4
fbd_1041_q2,Basic Relational Reasoning,fbd_1041.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1041_q3,Comparative Reasoning,fbd_1041.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1041_q4,Compound Reasoning,fbd_1041.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 24.49, 'tension_magnitude': 152.9}"
fbd_1041_q5,Extrapolative/Counterfactual Reasoning,fbd_1041.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1042_q1,Image Description,fbd_1042.png,How many force arrows are shown in this diagram?,4
fbd_1042_q2,Basic Relational Reasoning,fbd_1042.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1042_q3,Comparative Reasoning,fbd_1042.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1042_q4,Compound Reasoning,fbd_1042.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.65, 'net_force_N': 36.36}"
fbd_1042_q5,Extrapolative/Counterfactual Reasoning,fbd_1042.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (346.5 degrees; 0=right, 90=up)"
fbd_1043_q1,Image Description,fbd_1043.png,How many force arrows are shown in this diagram?,2
fbd_1043_q2,Basic Relational Reasoning,fbd_1043.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1043_q3,Comparative Reasoning,fbd_1043.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1043_q4,Compound Reasoning,fbd_1043.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 35.13, 'support_force_magnitude': 243.98}"
fbd_1043_q5,Extrapolative/Counterfactual Reasoning,fbd_1043.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1044_q1,Image Description,fbd_1044.png,How many force arrows are shown in this diagram?,3
fbd_1044_q2,Basic Relational Reasoning,fbd_1044.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1044_q3,Comparative Reasoning,fbd_1044.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1044_q4,Compound Reasoning,fbd_1044.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 48.72, 'required_friction_coefficient': 0.11}"
fbd_1044_q5,Extrapolative/Counterfactual Reasoning,fbd_1044.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (263.8 degrees; 0=right, 90=up)"
fbd_1045_q1,Image Description,fbd_1045.png,How many force arrows are shown in this diagram?,3
fbd_1045_q2,Basic Relational Reasoning,fbd_1045.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1045_q3,Comparative Reasoning,fbd_1045.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1045_q4,Compound Reasoning,fbd_1045.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_1045_q5,Extrapolative/Counterfactual Reasoning,fbd_1045.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1046_q1,Image Description,fbd_1046.png,How many force arrows are shown in this diagram?,1
fbd_1046_q2,Basic Relational Reasoning,fbd_1046.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1046_q3,Comparative Reasoning,fbd_1046.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1046_q4,Compound Reasoning,fbd_1046.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 131.26}"
fbd_1046_q5,Extrapolative/Counterfactual Reasoning,fbd_1046.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1047_q1,Image Description,fbd_1047.png,How many force arrows are shown in this diagram?,3
fbd_1047_q2,Basic Relational Reasoning,fbd_1047.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1047_q3,Comparative Reasoning,fbd_1047.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1047_q4,Compound Reasoning,fbd_1047.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 71.22}"
fbd_1047_q5,Extrapolative/Counterfactual Reasoning,fbd_1047.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1048_q1,Image Description,fbd_1048.png,How many force arrows are shown in this diagram?,3
fbd_1048_q2,Basic Relational Reasoning,fbd_1048.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1048_q3,Comparative Reasoning,fbd_1048.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1048_q4,Compound Reasoning,fbd_1048.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.7, 'net_force_N': 0.0}"
fbd_1048_q5,Extrapolative/Counterfactual Reasoning,fbd_1048.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1049_q1,Image Description,fbd_1049.png,How many force arrows are shown in this diagram?,1
fbd_1049_q2,Basic Relational Reasoning,fbd_1049.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1049_q3,Comparative Reasoning,fbd_1049.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1049_q4,Compound Reasoning,fbd_1049.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 215.53}"
fbd_1049_q5,Extrapolative/Counterfactual Reasoning,fbd_1049.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1050_q1,Image Description,fbd_1050.png,How many force arrows are shown in this diagram?,2
fbd_1050_q2,Basic Relational Reasoning,fbd_1050.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1050_q3,Comparative Reasoning,fbd_1050.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1050_q4,Compound Reasoning,fbd_1050.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_1050_q5,Extrapolative/Counterfactual Reasoning,fbd_1050.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_1051_q1,Image Description,fbd_1051.png,How many force arrows are shown in this diagram?,4
fbd_1051_q2,Basic Relational Reasoning,fbd_1051.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1051_q3,Comparative Reasoning,fbd_1051.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1051_q4,Compound Reasoning,fbd_1051.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.44, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 116.0, 'magnitude': 59.515895}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 151.0, 'magnitude': 59.515895}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1051_q5,Extrapolative/Counterfactual Reasoning,fbd_1051.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1052_q1,Image Description,fbd_1052.png,How many force arrows are shown in this diagram?,2
fbd_1052_q2,Basic Relational Reasoning,fbd_1052.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1052_q3,Comparative Reasoning,fbd_1052.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1052_q4,Compound Reasoning,fbd_1052.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 206.11, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 206.1081}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 288.55134}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1052_q5,Extrapolative/Counterfactual Reasoning,fbd_1052.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1053_q1,Image Description,fbd_1053.png,How many force arrows are shown in this diagram?,4
fbd_1053_q2,Basic Relational Reasoning,fbd_1053.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1053_q3,Comparative Reasoning,fbd_1053.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1053_q4,Compound Reasoning,fbd_1053.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 176.97, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 176.9724}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 176.9724}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1053_q5,Extrapolative/Counterfactual Reasoning,fbd_1053.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1054_q1,Image Description,fbd_1054.png,How many force arrows are shown in this diagram?,4
fbd_1054_q2,Basic Relational Reasoning,fbd_1054.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1054_q3,Comparative Reasoning,fbd_1054.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1054_q4,Compound Reasoning,fbd_1054.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 142.05}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 198.87}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1054_q5,Extrapolative/Counterfactual Reasoning,fbd_1054.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1055_q1,Image Description,fbd_1055.png,How many force arrows are shown in this diagram?,2
fbd_1055_q2,Basic Relational Reasoning,fbd_1055.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1055_q3,Comparative Reasoning,fbd_1055.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1055_q4,Compound Reasoning,fbd_1055.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 72.4, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 72.3978}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 72.3978}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1055_q5,Extrapolative/Counterfactual Reasoning,fbd_1055.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1056_q1,Image Description,fbd_1056.png,How many force arrows are shown in this diagram?,3
fbd_1056_q2,Basic Relational Reasoning,fbd_1056.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1056_q3,Comparative Reasoning,fbd_1056.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1056_q4,Compound Reasoning,fbd_1056.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 61.0, 'magnitude': 66.838351}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 61.0, 'magnitude': 93.573691}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1056_q5,Extrapolative/Counterfactual Reasoning,fbd_1056.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (241 degrees; 0=right, 90=up)"
fbd_1057_q1,Image Description,fbd_1057.png,How many force arrows are shown in this diagram?,4
fbd_1057_q2,Basic Relational Reasoning,fbd_1057.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1057_q3,Comparative Reasoning,fbd_1057.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1057_q4,Compound Reasoning,fbd_1057.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.56}"
fbd_1057_q5,Extrapolative/Counterfactual Reasoning,fbd_1057.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1058_q1,Image Description,fbd_1058.png,How many force arrows are shown in this diagram?,2
fbd_1058_q2,Basic Relational Reasoning,fbd_1058.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1058_q3,Comparative Reasoning,fbd_1058.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1058_q4,Compound Reasoning,fbd_1058.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 106.24}"
fbd_1058_q5,Extrapolative/Counterfactual Reasoning,fbd_1058.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1059_q1,Image Description,fbd_1059.png,How many force arrows are shown in this diagram?,4
fbd_1059_q2,Basic Relational Reasoning,fbd_1059.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1059_q3,Comparative Reasoning,fbd_1059.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1059_q4,Compound Reasoning,fbd_1059.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 65.43}"
fbd_1059_q5,Extrapolative/Counterfactual Reasoning,fbd_1059.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1060_q1,Image Description,fbd_1060.png,How many force arrows are shown in this diagram?,4
fbd_1060_q2,Basic Relational Reasoning,fbd_1060.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1060_q3,Comparative Reasoning,fbd_1060.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1060_q4,Compound Reasoning,fbd_1060.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.74, 'net_force_N': 0.0}"
fbd_1060_q5,Extrapolative/Counterfactual Reasoning,fbd_1060.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1061_q1,Image Description,fbd_1061.png,How many force arrows are shown in this diagram?,2
fbd_1061_q2,Basic Relational Reasoning,fbd_1061.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1061_q3,Comparative Reasoning,fbd_1061.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1061_q4,Compound Reasoning,fbd_1061.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 142.64}"
fbd_1061_q5,Extrapolative/Counterfactual Reasoning,fbd_1061.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1062_q1,Image Description,fbd_1062.png,How many force arrows are shown in this diagram?,3
fbd_1062_q2,Basic Relational Reasoning,fbd_1062.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1062_q3,Comparative Reasoning,fbd_1062.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1062_q4,Compound Reasoning,fbd_1062.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38}"
fbd_1062_q5,Extrapolative/Counterfactual Reasoning,fbd_1062.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_1063_q1,Image Description,fbd_1063.png,How many force arrows are shown in this diagram?,4
fbd_1063_q2,Basic Relational Reasoning,fbd_1063.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1063_q3,Comparative Reasoning,fbd_1063.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1063_q4,Compound Reasoning,fbd_1063.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 31.29, 'required_friction_coefficient': 0.63}"
fbd_1063_q5,Extrapolative/Counterfactual Reasoning,fbd_1063.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1064_q1,Image Description,fbd_1064.png,How many force arrows are shown in this diagram?,2
fbd_1064_q2,Basic Relational Reasoning,fbd_1064.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1064_q3,Comparative Reasoning,fbd_1064.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1064_q4,Compound Reasoning,fbd_1064.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 11.17, 'tension_magnitude': 86.64}"
fbd_1064_q5,Extrapolative/Counterfactual Reasoning,fbd_1064.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1065_q1,Image Description,fbd_1065.png,How many force arrows are shown in this diagram?,4
fbd_1065_q2,Basic Relational Reasoning,fbd_1065.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1065_q3,Comparative Reasoning,fbd_1065.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1065_q4,Compound Reasoning,fbd_1065.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 17.29, 'tension_magnitude': 216.33}"
fbd_1065_q5,Extrapolative/Counterfactual Reasoning,fbd_1065.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1066_q1,Image Description,fbd_1066.png,How many force arrows are shown in this diagram?,4
fbd_1066_q2,Basic Relational Reasoning,fbd_1066.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1066_q3,Comparative Reasoning,fbd_1066.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1066_q4,Compound Reasoning,fbd_1066.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 96.84}"
fbd_1066_q5,Extrapolative/Counterfactual Reasoning,fbd_1066.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (343.4 degrees; 0=right, 90=up)"
fbd_1067_q1,Image Description,fbd_1067.png,How many force arrows are shown in this diagram?,2
fbd_1067_q2,Basic Relational Reasoning,fbd_1067.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1067_q3,Comparative Reasoning,fbd_1067.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1067_q4,Compound Reasoning,fbd_1067.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 8.42, 'support_force_magnitude': 69.64}"
fbd_1067_q5,Extrapolative/Counterfactual Reasoning,fbd_1067.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1068_q1,Image Description,fbd_1068.png,How many force arrows are shown in this diagram?,3
fbd_1068_q2,Basic Relational Reasoning,fbd_1068.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1068_q3,Comparative Reasoning,fbd_1068.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1068_q4,Compound Reasoning,fbd_1068.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 31.52, 'required_friction_coefficient': 0.08}"
fbd_1068_q5,Extrapolative/Counterfactual Reasoning,fbd_1068.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (265.2 degrees; 0=right, 90=up)"
fbd_1069_q1,Image Description,fbd_1069.png,How many force arrows are shown in this diagram?,3
fbd_1069_q2,Basic Relational Reasoning,fbd_1069.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1069_q3,Comparative Reasoning,fbd_1069.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1069_q4,Compound Reasoning,fbd_1069.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.66}"
fbd_1069_q5,Extrapolative/Counterfactual Reasoning,fbd_1069.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1070_q1,Image Description,fbd_1070.png,How many force arrows are shown in this diagram?,1
fbd_1070_q2,Basic Relational Reasoning,fbd_1070.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1070_q3,Comparative Reasoning,fbd_1070.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1070_q4,Compound Reasoning,fbd_1070.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 113.4}"
fbd_1070_q5,Extrapolative/Counterfactual Reasoning,fbd_1070.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1071_q1,Image Description,fbd_1071.png,How many force arrows are shown in this diagram?,3
fbd_1071_q2,Basic Relational Reasoning,fbd_1071.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1071_q3,Comparative Reasoning,fbd_1071.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1071_q4,Compound Reasoning,fbd_1071.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 76.42}"
fbd_1071_q5,Extrapolative/Counterfactual Reasoning,fbd_1071.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1072_q1,Image Description,fbd_1072.png,How many force arrows are shown in this diagram?,3
fbd_1072_q2,Basic Relational Reasoning,fbd_1072.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1072_q3,Comparative Reasoning,fbd_1072.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1072_q4,Compound Reasoning,fbd_1072.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0}"
fbd_1072_q5,Extrapolative/Counterfactual Reasoning,fbd_1072.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1073_q1,Image Description,fbd_1073.png,How many force arrows are shown in this diagram?,1
fbd_1073_q2,Basic Relational Reasoning,fbd_1073.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1073_q3,Comparative Reasoning,fbd_1073.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1073_q4,Compound Reasoning,fbd_1073.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 109.28}"
fbd_1073_q5,Extrapolative/Counterfactual Reasoning,fbd_1073.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1074_q1,Image Description,fbd_1074.png,How many force arrows are shown in this diagram?,2
fbd_1074_q2,Basic Relational Reasoning,fbd_1074.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1074_q3,Comparative Reasoning,fbd_1074.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1074_q4,Compound Reasoning,fbd_1074.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_1074_q5,Extrapolative/Counterfactual Reasoning,fbd_1074.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_1075_q1,Image Description,fbd_1075.png,How many force arrows are shown in this diagram?,4
fbd_1075_q2,Basic Relational Reasoning,fbd_1075.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1075_q3,Comparative Reasoning,fbd_1075.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1075_q4,Compound Reasoning,fbd_1075.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 118.0, 'magnitude': 112.429072}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 153.0, 'magnitude': 112.429072}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1075_q5,Extrapolative/Counterfactual Reasoning,fbd_1075.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1076_q1,Image Description,fbd_1076.png,How many force arrows are shown in this diagram?,2
fbd_1076_q2,Basic Relational Reasoning,fbd_1076.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1076_q3,Comparative Reasoning,fbd_1076.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1076_q4,Compound Reasoning,fbd_1076.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 114.88, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 114.8751}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 160.82514}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1076_q5,Extrapolative/Counterfactual Reasoning,fbd_1076.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1077_q1,Image Description,fbd_1077.png,How many force arrows are shown in this diagram?,4
fbd_1077_q2,Basic Relational Reasoning,fbd_1077.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1077_q3,Comparative Reasoning,fbd_1077.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1077_q4,Compound Reasoning,fbd_1077.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 164.51, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 164.5137}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 164.5137}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1077_q5,Extrapolative/Counterfactual Reasoning,fbd_1077.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1078_q1,Image Description,fbd_1078.png,How many force arrows are shown in this diagram?,4
fbd_1078_q2,Basic Relational Reasoning,fbd_1078.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1078_q3,Comparative Reasoning,fbd_1078.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1078_q4,Compound Reasoning,fbd_1078.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 117.64}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 164.696}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1078_q5,Extrapolative/Counterfactual Reasoning,fbd_1078.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1079_q1,Image Description,fbd_1079.png,How many force arrows are shown in this diagram?,2
fbd_1079_q2,Basic Relational Reasoning,fbd_1079.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1079_q3,Comparative Reasoning,fbd_1079.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1079_q4,Compound Reasoning,fbd_1079.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 143.13, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 143.1279}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 143.1279}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1079_q5,Extrapolative/Counterfactual Reasoning,fbd_1079.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1080_q1,Image Description,fbd_1080.png,How many force arrows are shown in this diagram?,3
fbd_1080_q2,Basic Relational Reasoning,fbd_1080.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1080_q3,Comparative Reasoning,fbd_1080.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1080_q4,Compound Reasoning,fbd_1080.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 62.0, 'magnitude': 162.233939}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 62.0, 'magnitude': 227.127515}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1080_q5,Extrapolative/Counterfactual Reasoning,fbd_1080.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (242 degrees; 0=right, 90=up)"
fbd_1081_q1,Image Description,fbd_1081.png,How many force arrows are shown in this diagram?,4
fbd_1081_q2,Basic Relational Reasoning,fbd_1081.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1081_q3,Comparative Reasoning,fbd_1081.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1081_q4,Compound Reasoning,fbd_1081.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.46}"
fbd_1081_q5,Extrapolative/Counterfactual Reasoning,fbd_1081.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1082_q1,Image Description,fbd_1082.png,How many force arrows are shown in this diagram?,2
fbd_1082_q2,Basic Relational Reasoning,fbd_1082.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1082_q3,Comparative Reasoning,fbd_1082.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1082_q4,Compound Reasoning,fbd_1082.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 88.68}"
fbd_1082_q5,Extrapolative/Counterfactual Reasoning,fbd_1082.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1083_q1,Image Description,fbd_1083.png,How many force arrows are shown in this diagram?,4
fbd_1083_q2,Basic Relational Reasoning,fbd_1083.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1083_q3,Comparative Reasoning,fbd_1083.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1083_q4,Compound Reasoning,fbd_1083.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 92.7}"
fbd_1083_q5,Extrapolative/Counterfactual Reasoning,fbd_1083.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1084_q1,Image Description,fbd_1084.png,How many force arrows are shown in this diagram?,4
fbd_1084_q2,Basic Relational Reasoning,fbd_1084.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1084_q3,Comparative Reasoning,fbd_1084.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1084_q4,Compound Reasoning,fbd_1084.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0}"
fbd_1084_q5,Extrapolative/Counterfactual Reasoning,fbd_1084.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1085_q1,Image Description,fbd_1085.png,How many force arrows are shown in this diagram?,2
fbd_1085_q2,Basic Relational Reasoning,fbd_1085.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1085_q3,Comparative Reasoning,fbd_1085.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1085_q4,Compound Reasoning,fbd_1085.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 159.8}"
fbd_1085_q5,Extrapolative/Counterfactual Reasoning,fbd_1085.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1086_q1,Image Description,fbd_1086.png,How many force arrows are shown in this diagram?,3
fbd_1086_q2,Basic Relational Reasoning,fbd_1086.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1086_q3,Comparative Reasoning,fbd_1086.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1086_q4,Compound Reasoning,fbd_1086.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_1086_q5,Extrapolative/Counterfactual Reasoning,fbd_1086.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (241 degrees; 0=right, 90=up)"
fbd_1087_q1,Image Description,fbd_1087.png,How many force arrows are shown in this diagram?,4
fbd_1087_q2,Basic Relational Reasoning,fbd_1087.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1087_q3,Comparative Reasoning,fbd_1087.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['A'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1087_q4,Compound Reasoning,fbd_1087.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 40.13, 'required_friction_coefficient': 0.65}"
fbd_1087_q5,Extrapolative/Counterfactual Reasoning,fbd_1087.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1088_q1,Image Description,fbd_1088.png,How many force arrows are shown in this diagram?,2
fbd_1088_q2,Basic Relational Reasoning,fbd_1088.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1088_q3,Comparative Reasoning,fbd_1088.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1088_q4,Compound Reasoning,fbd_1088.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 30.68, 'tension_magnitude': 111.96}"
fbd_1088_q5,Extrapolative/Counterfactual Reasoning,fbd_1088.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1089_q1,Image Description,fbd_1089.png,How many force arrows are shown in this diagram?,4
fbd_1089_q2,Basic Relational Reasoning,fbd_1089.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1089_q3,Comparative Reasoning,fbd_1089.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1089_q4,Compound Reasoning,fbd_1089.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 23.81, 'tension_magnitude': 131.72}"
fbd_1089_q5,Extrapolative/Counterfactual Reasoning,fbd_1089.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1090_q1,Image Description,fbd_1090.png,How many force arrows are shown in this diagram?,4
fbd_1090_q2,Basic Relational Reasoning,fbd_1090.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1090_q3,Comparative Reasoning,fbd_1090.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1090_q4,Compound Reasoning,fbd_1090.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 57.32}"
fbd_1090_q5,Extrapolative/Counterfactual Reasoning,fbd_1090.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (344.3 degrees; 0=right, 90=up)"
fbd_1091_q1,Image Description,fbd_1091.png,How many force arrows are shown in this diagram?,2
fbd_1091_q2,Basic Relational Reasoning,fbd_1091.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1091_q3,Comparative Reasoning,fbd_1091.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1091_q4,Compound Reasoning,fbd_1091.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 27.73, 'support_force_magnitude': 87.54}"
fbd_1091_q5,Extrapolative/Counterfactual Reasoning,fbd_1091.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1092_q1,Image Description,fbd_1092.png,How many force arrows are shown in this diagram?,3
fbd_1092_q2,Basic Relational Reasoning,fbd_1092.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1092_q3,Comparative Reasoning,fbd_1092.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1092_q4,Compound Reasoning,fbd_1092.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 29.37, 'required_friction_coefficient': 0.23}"
fbd_1092_q5,Extrapolative/Counterfactual Reasoning,fbd_1092.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (256.8 degrees; 0=right, 90=up)"
fbd_1093_q1,Image Description,fbd_1093.png,How many force arrows are shown in this diagram?,3
fbd_1093_q2,Basic Relational Reasoning,fbd_1093.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1093_q3,Comparative Reasoning,fbd_1093.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1093_q4,Compound Reasoning,fbd_1093.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.59}"
fbd_1093_q5,Extrapolative/Counterfactual Reasoning,fbd_1093.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1094_q1,Image Description,fbd_1094.png,How many force arrows are shown in this diagram?,1
fbd_1094_q2,Basic Relational Reasoning,fbd_1094.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1094_q3,Comparative Reasoning,fbd_1094.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1094_q4,Compound Reasoning,fbd_1094.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 144.11}"
fbd_1094_q5,Extrapolative/Counterfactual Reasoning,fbd_1094.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1095_q1,Image Description,fbd_1095.png,How many force arrows are shown in this diagram?,3
fbd_1095_q2,Basic Relational Reasoning,fbd_1095.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1095_q3,Comparative Reasoning,fbd_1095.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1095_q4,Compound Reasoning,fbd_1095.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 92.41}"
fbd_1095_q5,Extrapolative/Counterfactual Reasoning,fbd_1095.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1096_q1,Image Description,fbd_1096.png,How many force arrows are shown in this diagram?,3
fbd_1096_q2,Basic Relational Reasoning,fbd_1096.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1096_q3,Comparative Reasoning,fbd_1096.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1096_q4,Compound Reasoning,fbd_1096.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0}"
fbd_1096_q5,Extrapolative/Counterfactual Reasoning,fbd_1096.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1097_q1,Image Description,fbd_1097.png,How many force arrows are shown in this diagram?,1
fbd_1097_q2,Basic Relational Reasoning,fbd_1097.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1097_q3,Comparative Reasoning,fbd_1097.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1097_q4,Compound Reasoning,fbd_1097.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 141.46}"
fbd_1097_q5,Extrapolative/Counterfactual Reasoning,fbd_1097.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1098_q1,Image Description,fbd_1098.png,How many force arrows are shown in this diagram?,2
fbd_1098_q2,Basic Relational Reasoning,fbd_1098.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1098_q3,Comparative Reasoning,fbd_1098.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1098_q4,Compound Reasoning,fbd_1098.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45}"
fbd_1098_q5,Extrapolative/Counterfactual Reasoning,fbd_1098.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (246 degrees; 0=right, 90=up)"
fbd_1099_q1,Image Description,fbd_1099.png,How many force arrows are shown in this diagram?,4
fbd_1099_q2,Basic Relational Reasoning,fbd_1099.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1099_q3,Comparative Reasoning,fbd_1099.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1099_q4,Compound Reasoning,fbd_1099.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 118.0, 'magnitude': 108.011597}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 153.0, 'magnitude': 108.011597}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1099_q5,Extrapolative/Counterfactual Reasoning,fbd_1099.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1100_q1,Image Description,fbd_1100.png,How many force arrows are shown in this diagram?,2
fbd_1100_q2,Basic Relational Reasoning,fbd_1100.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1100_q3,Comparative Reasoning,fbd_1100.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1100_q4,Compound Reasoning,fbd_1100.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 212.39, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 212.3865}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 297.3411}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1100_q5,Extrapolative/Counterfactual Reasoning,fbd_1100.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1101_q1,Image Description,fbd_1101.png,How many force arrows are shown in this diagram?,4
fbd_1101_q2,Basic Relational Reasoning,fbd_1101.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1101_q3,Comparative Reasoning,fbd_1101.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1101_q4,Compound Reasoning,fbd_1101.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 115.07, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 115.0713}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 115.0713}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1101_q5,Extrapolative/Counterfactual Reasoning,fbd_1101.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1102_q1,Image Description,fbd_1102.png,How many force arrows are shown in this diagram?,4
fbd_1102_q2,Basic Relational Reasoning,fbd_1102.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1102_q3,Comparative Reasoning,fbd_1102.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1102_q4,Compound Reasoning,fbd_1102.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.7, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 246.87}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 345.618}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1102_q5,Extrapolative/Counterfactual Reasoning,fbd_1102.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1103_q1,Image Description,fbd_1103.png,How many force arrows are shown in this diagram?,2
fbd_1103_q2,Basic Relational Reasoning,fbd_1103.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1103_q3,Comparative Reasoning,fbd_1103.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1103_q4,Compound Reasoning,fbd_1103.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 121.84, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 121.8402}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 121.8402}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1103_q5,Extrapolative/Counterfactual Reasoning,fbd_1103.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1104_q1,Image Description,fbd_1104.png,How many force arrows are shown in this diagram?,3
fbd_1104_q2,Basic Relational Reasoning,fbd_1104.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1104_q3,Comparative Reasoning,fbd_1104.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1104_q4,Compound Reasoning,fbd_1104.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 69.0, 'magnitude': 92.133745}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 69.0, 'magnitude': 128.987243}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1104_q5,Extrapolative/Counterfactual Reasoning,fbd_1104.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_1105_q1,Image Description,fbd_1105.png,How many force arrows are shown in this diagram?,4
fbd_1105_q2,Basic Relational Reasoning,fbd_1105.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1105_q3,Comparative Reasoning,fbd_1105.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1105_q4,Compound Reasoning,fbd_1105.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.44}"
fbd_1105_q5,Extrapolative/Counterfactual Reasoning,fbd_1105.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1106_q1,Image Description,fbd_1106.png,How many force arrows are shown in this diagram?,2
fbd_1106_q2,Basic Relational Reasoning,fbd_1106.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1106_q3,Comparative Reasoning,fbd_1106.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1106_q4,Compound Reasoning,fbd_1106.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 130.57}"
fbd_1106_q5,Extrapolative/Counterfactual Reasoning,fbd_1106.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1107_q1,Image Description,fbd_1107.png,How many force arrows are shown in this diagram?,4
fbd_1107_q2,Basic Relational Reasoning,fbd_1107.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1107_q3,Comparative Reasoning,fbd_1107.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1107_q4,Compound Reasoning,fbd_1107.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 162.85}"
fbd_1107_q5,Extrapolative/Counterfactual Reasoning,fbd_1107.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1108_q1,Image Description,fbd_1108.png,How many force arrows are shown in this diagram?,4
fbd_1108_q2,Basic Relational Reasoning,fbd_1108.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1108_q3,Comparative Reasoning,fbd_1108.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1108_q4,Compound Reasoning,fbd_1108.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 0.0}"
fbd_1108_q5,Extrapolative/Counterfactual Reasoning,fbd_1108.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1109_q1,Image Description,fbd_1109.png,How many force arrows are shown in this diagram?,2
fbd_1109_q2,Basic Relational Reasoning,fbd_1109.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1109_q3,Comparative Reasoning,fbd_1109.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1109_q4,Compound Reasoning,fbd_1109.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 119.78}"
fbd_1109_q5,Extrapolative/Counterfactual Reasoning,fbd_1109.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1110_q1,Image Description,fbd_1110.png,How many force arrows are shown in this diagram?,3
fbd_1110_q2,Basic Relational Reasoning,fbd_1110.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1110_q3,Comparative Reasoning,fbd_1110.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1110_q4,Compound Reasoning,fbd_1110.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_1110_q5,Extrapolative/Counterfactual Reasoning,fbd_1110.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_1111_q1,Image Description,fbd_1111.png,How many force arrows are shown in this diagram?,4
fbd_1111_q2,Basic Relational Reasoning,fbd_1111.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1111_q3,Comparative Reasoning,fbd_1111.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1111_q4,Compound Reasoning,fbd_1111.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 31.17, 'required_friction_coefficient': 0.49}"
fbd_1111_q5,Extrapolative/Counterfactual Reasoning,fbd_1111.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1112_q1,Image Description,fbd_1112.png,How many force arrows are shown in this diagram?,2
fbd_1112_q2,Basic Relational Reasoning,fbd_1112.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1112_q3,Comparative Reasoning,fbd_1112.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1112_q4,Compound Reasoning,fbd_1112.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 16.38, 'tension_magnitude': 86.62}"
fbd_1112_q5,Extrapolative/Counterfactual Reasoning,fbd_1112.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1113_q1,Image Description,fbd_1113.png,How many force arrows are shown in this diagram?,4
fbd_1113_q2,Basic Relational Reasoning,fbd_1113.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1113_q3,Comparative Reasoning,fbd_1113.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1113_q4,Compound Reasoning,fbd_1113.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 16.17, 'tension_magnitude': 79.34}"
fbd_1113_q5,Extrapolative/Counterfactual Reasoning,fbd_1113.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1114_q1,Image Description,fbd_1114.png,How many force arrows are shown in this diagram?,4
fbd_1114_q2,Basic Relational Reasoning,fbd_1114.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1114_q3,Comparative Reasoning,fbd_1114.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1114_q4,Compound Reasoning,fbd_1114.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 60.53}"
fbd_1114_q5,Extrapolative/Counterfactual Reasoning,fbd_1114.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (345.1 degrees; 0=right, 90=up)"
fbd_1115_q1,Image Description,fbd_1115.png,How many force arrows are shown in this diagram?,2
fbd_1115_q2,Basic Relational Reasoning,fbd_1115.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1115_q3,Comparative Reasoning,fbd_1115.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1115_q4,Compound Reasoning,fbd_1115.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 11.24, 'support_force_magnitude': 89.9}"
fbd_1115_q5,Extrapolative/Counterfactual Reasoning,fbd_1115.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1116_q1,Image Description,fbd_1116.png,How many force arrows are shown in this diagram?,3
fbd_1116_q2,Basic Relational Reasoning,fbd_1116.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1116_q3,Comparative Reasoning,fbd_1116.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1116_q4,Compound Reasoning,fbd_1116.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 43.25, 'required_friction_coefficient': 0.16}"
fbd_1116_q5,Extrapolative/Counterfactual Reasoning,fbd_1116.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (261.1 degrees; 0=right, 90=up)"
fbd_1117_q1,Image Description,fbd_1117.png,How many force arrows are shown in this diagram?,3
fbd_1117_q2,Basic Relational Reasoning,fbd_1117.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1117_q3,Comparative Reasoning,fbd_1117.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1117_q4,Compound Reasoning,fbd_1117.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_1117_q5,Extrapolative/Counterfactual Reasoning,fbd_1117.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1118_q1,Image Description,fbd_1118.png,How many force arrows are shown in this diagram?,1
fbd_1118_q2,Basic Relational Reasoning,fbd_1118.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1118_q3,Comparative Reasoning,fbd_1118.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1118_q4,Compound Reasoning,fbd_1118.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 94.96}"
fbd_1118_q5,Extrapolative/Counterfactual Reasoning,fbd_1118.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1119_q1,Image Description,fbd_1119.png,How many force arrows are shown in this diagram?,3
fbd_1119_q2,Basic Relational Reasoning,fbd_1119.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1119_q3,Comparative Reasoning,fbd_1119.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1119_q4,Compound Reasoning,fbd_1119.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 67.79}"
fbd_1119_q5,Extrapolative/Counterfactual Reasoning,fbd_1119.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1120_q1,Image Description,fbd_1120.png,How many force arrows are shown in this diagram?,3
fbd_1120_q2,Basic Relational Reasoning,fbd_1120.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1120_q3,Comparative Reasoning,fbd_1120.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1120_q4,Compound Reasoning,fbd_1120.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 0.0}"
fbd_1120_q5,Extrapolative/Counterfactual Reasoning,fbd_1120.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1121_q1,Image Description,fbd_1121.png,How many force arrows are shown in this diagram?,1
fbd_1121_q2,Basic Relational Reasoning,fbd_1121.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1121_q3,Comparative Reasoning,fbd_1121.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1121_q4,Compound Reasoning,fbd_1121.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 155.39}"
fbd_1121_q5,Extrapolative/Counterfactual Reasoning,fbd_1121.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1122_q1,Image Description,fbd_1122.png,How many force arrows are shown in this diagram?,2
fbd_1122_q2,Basic Relational Reasoning,fbd_1122.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1122_q3,Comparative Reasoning,fbd_1122.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1122_q4,Compound Reasoning,fbd_1122.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_1122_q5,Extrapolative/Counterfactual Reasoning,fbd_1122.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_1123_q1,Image Description,fbd_1123.png,How many force arrows are shown in this diagram?,4
fbd_1123_q2,Basic Relational Reasoning,fbd_1123.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1123_q3,Comparative Reasoning,fbd_1123.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1123_q4,Compound Reasoning,fbd_1123.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.56, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 123.0, 'magnitude': 86.222715}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 158.0, 'magnitude': 86.222715}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1123_q5,Extrapolative/Counterfactual Reasoning,fbd_1123.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1124_q1,Image Description,fbd_1124.png,How many force arrows are shown in this diagram?,2
fbd_1124_q2,Basic Relational Reasoning,fbd_1124.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1124_q3,Comparative Reasoning,fbd_1124.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1124_q4,Compound Reasoning,fbd_1124.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 201.89, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 201.8898}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 282.64572}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1124_q5,Extrapolative/Counterfactual Reasoning,fbd_1124.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1125_q1,Image Description,fbd_1125.png,How many force arrows are shown in this diagram?,4
fbd_1125_q2,Basic Relational Reasoning,fbd_1125.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1125_q3,Comparative Reasoning,fbd_1125.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1125_q4,Compound Reasoning,fbd_1125.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 82.6, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 82.6002}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 82.6002}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1125_q5,Extrapolative/Counterfactual Reasoning,fbd_1125.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1126_q1,Image Description,fbd_1126.png,How many force arrows are shown in this diagram?,4
fbd_1126_q2,Basic Relational Reasoning,fbd_1126.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1126_q3,Comparative Reasoning,fbd_1126.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1126_q4,Compound Reasoning,fbd_1126.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.67, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 149.38}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 209.132}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1126_q5,Extrapolative/Counterfactual Reasoning,fbd_1126.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1127_q1,Image Description,fbd_1127.png,How many force arrows are shown in this diagram?,2
fbd_1127_q2,Basic Relational Reasoning,fbd_1127.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1127_q3,Comparative Reasoning,fbd_1127.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1127_q4,Compound Reasoning,fbd_1127.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 137.05, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 137.0457}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 137.0457}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1127_q5,Extrapolative/Counterfactual Reasoning,fbd_1127.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1128_q1,Image Description,fbd_1128.png,How many force arrows are shown in this diagram?,3
fbd_1128_q2,Basic Relational Reasoning,fbd_1128.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1128_q3,Comparative Reasoning,fbd_1128.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1128_q4,Compound Reasoning,fbd_1128.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.32, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 72.0, 'magnitude': 67.175024}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 72.0, 'magnitude': 94.045034}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1128_q5,Extrapolative/Counterfactual Reasoning,fbd_1128.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_1129_q1,Image Description,fbd_1129.png,How many force arrows are shown in this diagram?,4
fbd_1129_q2,Basic Relational Reasoning,fbd_1129.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1129_q3,Comparative Reasoning,fbd_1129.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1129_q4,Compound Reasoning,fbd_1129.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.56}"
fbd_1129_q5,Extrapolative/Counterfactual Reasoning,fbd_1129.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1130_q1,Image Description,fbd_1130.png,How many force arrows are shown in this diagram?,2
fbd_1130_q2,Basic Relational Reasoning,fbd_1130.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1130_q3,Comparative Reasoning,fbd_1130.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1130_q4,Compound Reasoning,fbd_1130.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 144.01}"
fbd_1130_q5,Extrapolative/Counterfactual Reasoning,fbd_1130.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1131_q1,Image Description,fbd_1131.png,How many force arrows are shown in this diagram?,4
fbd_1131_q2,Basic Relational Reasoning,fbd_1131.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1131_q3,Comparative Reasoning,fbd_1131.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1131_q4,Compound Reasoning,fbd_1131.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 207.29}"
fbd_1131_q5,Extrapolative/Counterfactual Reasoning,fbd_1131.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1132_q1,Image Description,fbd_1132.png,How many force arrows are shown in this diagram?,4
fbd_1132_q2,Basic Relational Reasoning,fbd_1132.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1132_q3,Comparative Reasoning,fbd_1132.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1132_q4,Compound Reasoning,fbd_1132.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0}"
fbd_1132_q5,Extrapolative/Counterfactual Reasoning,fbd_1132.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1133_q1,Image Description,fbd_1133.png,How many force arrows are shown in this diagram?,2
fbd_1133_q2,Basic Relational Reasoning,fbd_1133.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1133_q3,Comparative Reasoning,fbd_1133.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1133_q4,Compound Reasoning,fbd_1133.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 122.82}"
fbd_1133_q5,Extrapolative/Counterfactual Reasoning,fbd_1133.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1134_q1,Image Description,fbd_1134.png,How many force arrows are shown in this diagram?,3
fbd_1134_q2,Basic Relational Reasoning,fbd_1134.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1134_q3,Comparative Reasoning,fbd_1134.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1134_q4,Compound Reasoning,fbd_1134.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_1134_q5,Extrapolative/Counterfactual Reasoning,fbd_1134.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_1135_q1,Image Description,fbd_1135.png,How many force arrows are shown in this diagram?,4
fbd_1135_q2,Basic Relational Reasoning,fbd_1135.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1135_q3,Comparative Reasoning,fbd_1135.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1135_q4,Compound Reasoning,fbd_1135.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 39.09, 'required_friction_coefficient': 0.46}"
fbd_1135_q5,Extrapolative/Counterfactual Reasoning,fbd_1135.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1136_q1,Image Description,fbd_1136.png,How many force arrows are shown in this diagram?,2
fbd_1136_q2,Basic Relational Reasoning,fbd_1136.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1136_q3,Comparative Reasoning,fbd_1136.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1136_q4,Compound Reasoning,fbd_1136.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 10.64, 'tension_magnitude': 53.42}"
fbd_1136_q5,Extrapolative/Counterfactual Reasoning,fbd_1136.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1137_q1,Image Description,fbd_1137.png,How many force arrows are shown in this diagram?,4
fbd_1137_q2,Basic Relational Reasoning,fbd_1137.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1137_q3,Comparative Reasoning,fbd_1137.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1137_q4,Compound Reasoning,fbd_1137.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 18.57, 'tension_magnitude': 140.02}"
fbd_1137_q5,Extrapolative/Counterfactual Reasoning,fbd_1137.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1138_q1,Image Description,fbd_1138.png,How many force arrows are shown in this diagram?,4
fbd_1138_q2,Basic Relational Reasoning,fbd_1138.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1138_q3,Comparative Reasoning,fbd_1138.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1138_q4,Compound Reasoning,fbd_1138.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 56.07}"
fbd_1138_q5,Extrapolative/Counterfactual Reasoning,fbd_1138.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (341.9 degrees; 0=right, 90=up)"
fbd_1139_q1,Image Description,fbd_1139.png,How many force arrows are shown in this diagram?,2
fbd_1139_q2,Basic Relational Reasoning,fbd_1139.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1139_q3,Comparative Reasoning,fbd_1139.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1139_q4,Compound Reasoning,fbd_1139.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 26.42, 'support_force_magnitude': 225.76}"
fbd_1139_q5,Extrapolative/Counterfactual Reasoning,fbd_1139.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1140_q1,Image Description,fbd_1140.png,How many force arrows are shown in this diagram?,3
fbd_1140_q2,Basic Relational Reasoning,fbd_1140.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1140_q3,Comparative Reasoning,fbd_1140.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1140_q4,Compound Reasoning,fbd_1140.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 57.72, 'required_friction_coefficient': 0.2}"
fbd_1140_q5,Extrapolative/Counterfactual Reasoning,fbd_1140.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (258.6 degrees; 0=right, 90=up)"
fbd_1141_q1,Image Description,fbd_1141.png,How many force arrows are shown in this diagram?,3
fbd_1141_q2,Basic Relational Reasoning,fbd_1141.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1141_q3,Comparative Reasoning,fbd_1141.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1141_q4,Compound Reasoning,fbd_1141.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.43}"
fbd_1141_q5,Extrapolative/Counterfactual Reasoning,fbd_1141.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1142_q1,Image Description,fbd_1142.png,How many force arrows are shown in this diagram?,1
fbd_1142_q2,Basic Relational Reasoning,fbd_1142.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1142_q3,Comparative Reasoning,fbd_1142.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1142_q4,Compound Reasoning,fbd_1142.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 69.36}"
fbd_1142_q5,Extrapolative/Counterfactual Reasoning,fbd_1142.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1143_q1,Image Description,fbd_1143.png,How many force arrows are shown in this diagram?,3
fbd_1143_q2,Basic Relational Reasoning,fbd_1143.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1143_q3,Comparative Reasoning,fbd_1143.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1143_q4,Compound Reasoning,fbd_1143.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 163.43}"
fbd_1143_q5,Extrapolative/Counterfactual Reasoning,fbd_1143.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1144_q1,Image Description,fbd_1144.png,How many force arrows are shown in this diagram?,3
fbd_1144_q2,Basic Relational Reasoning,fbd_1144.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1144_q3,Comparative Reasoning,fbd_1144.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1144_q4,Compound Reasoning,fbd_1144.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0}"
fbd_1144_q5,Extrapolative/Counterfactual Reasoning,fbd_1144.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1145_q1,Image Description,fbd_1145.png,How many force arrows are shown in this diagram?,1
fbd_1145_q2,Basic Relational Reasoning,fbd_1145.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1145_q3,Comparative Reasoning,fbd_1145.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1145_q4,Compound Reasoning,fbd_1145.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 89.57}"
fbd_1145_q5,Extrapolative/Counterfactual Reasoning,fbd_1145.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1146_q1,Image Description,fbd_1146.png,How many force arrows are shown in this diagram?,2
fbd_1146_q2,Basic Relational Reasoning,fbd_1146.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1146_q3,Comparative Reasoning,fbd_1146.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1146_q4,Compound Reasoning,fbd_1146.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_1146_q5,Extrapolative/Counterfactual Reasoning,fbd_1146.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_1147_q1,Image Description,fbd_1147.png,How many force arrows are shown in this diagram?,4
fbd_1147_q2,Basic Relational Reasoning,fbd_1147.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1147_q3,Comparative Reasoning,fbd_1147.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1147_q4,Compound Reasoning,fbd_1147.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.52, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 122.0, 'magnitude': 167.551746}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 157.0, 'magnitude': 167.551746}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1147_q5,Extrapolative/Counterfactual Reasoning,fbd_1147.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1148_q1,Image Description,fbd_1148.png,How many force arrows are shown in this diagram?,2
fbd_1148_q2,Basic Relational Reasoning,fbd_1148.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1148_q3,Comparative Reasoning,fbd_1148.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1148_q4,Compound Reasoning,fbd_1148.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 127.53, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 127.53}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 178.542}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1148_q5,Extrapolative/Counterfactual Reasoning,fbd_1148.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1149_q1,Image Description,fbd_1149.png,How many force arrows are shown in this diagram?,4
fbd_1149_q2,Basic Relational Reasoning,fbd_1149.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1149_q3,Comparative Reasoning,fbd_1149.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1149_q4,Compound Reasoning,fbd_1149.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 148.43, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 148.4253}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 148.4253}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1149_q5,Extrapolative/Counterfactual Reasoning,fbd_1149.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1150_q1,Image Description,fbd_1150.png,How many force arrows are shown in this diagram?,4
fbd_1150_q2,Basic Relational Reasoning,fbd_1150.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1150_q3,Comparative Reasoning,fbd_1150.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1150_q4,Compound Reasoning,fbd_1150.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 132.26}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 185.164}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1150_q5,Extrapolative/Counterfactual Reasoning,fbd_1150.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1151_q1,Image Description,fbd_1151.png,How many force arrows are shown in this diagram?,2
fbd_1151_q2,Basic Relational Reasoning,fbd_1151.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1151_q3,Comparative Reasoning,fbd_1151.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1151_q4,Compound Reasoning,fbd_1151.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 80.74, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 80.7363}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 80.7363}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1151_q5,Extrapolative/Counterfactual Reasoning,fbd_1151.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1152_q1,Image Description,fbd_1152.png,How many force arrows are shown in this diagram?,3
fbd_1152_q2,Basic Relational Reasoning,fbd_1152.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1152_q3,Comparative Reasoning,fbd_1152.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1152_q4,Compound Reasoning,fbd_1152.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 65.0, 'magnitude': 133.4521}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 65.0, 'magnitude': 186.83294}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1152_q5,Extrapolative/Counterfactual Reasoning,fbd_1152.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_1153_q1,Image Description,fbd_1153.png,How many force arrows are shown in this diagram?,4
fbd_1153_q2,Basic Relational Reasoning,fbd_1153.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1153_q3,Comparative Reasoning,fbd_1153.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1153_q4,Compound Reasoning,fbd_1153.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.62}"
fbd_1153_q5,Extrapolative/Counterfactual Reasoning,fbd_1153.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1154_q1,Image Description,fbd_1154.png,How many force arrows are shown in this diagram?,2
fbd_1154_q2,Basic Relational Reasoning,fbd_1154.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1154_q3,Comparative Reasoning,fbd_1154.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1154_q4,Compound Reasoning,fbd_1154.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 211.41}"
fbd_1154_q5,Extrapolative/Counterfactual Reasoning,fbd_1154.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1155_q1,Image Description,fbd_1155.png,How many force arrows are shown in this diagram?,4
fbd_1155_q2,Basic Relational Reasoning,fbd_1155.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1155_q3,Comparative Reasoning,fbd_1155.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1155_q4,Compound Reasoning,fbd_1155.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 88.49}"
fbd_1155_q5,Extrapolative/Counterfactual Reasoning,fbd_1155.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1156_q1,Image Description,fbd_1156.png,How many force arrows are shown in this diagram?,4
fbd_1156_q2,Basic Relational Reasoning,fbd_1156.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1156_q3,Comparative Reasoning,fbd_1156.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1156_q4,Compound Reasoning,fbd_1156.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 0.0}"
fbd_1156_q5,Extrapolative/Counterfactual Reasoning,fbd_1156.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1157_q1,Image Description,fbd_1157.png,How many force arrows are shown in this diagram?,2
fbd_1157_q2,Basic Relational Reasoning,fbd_1157.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1157_q3,Comparative Reasoning,fbd_1157.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1157_q4,Compound Reasoning,fbd_1157.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 148.72}"
fbd_1157_q5,Extrapolative/Counterfactual Reasoning,fbd_1157.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1158_q1,Image Description,fbd_1158.png,How many force arrows are shown in this diagram?,3
fbd_1158_q2,Basic Relational Reasoning,fbd_1158.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1158_q3,Comparative Reasoning,fbd_1158.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1158_q4,Compound Reasoning,fbd_1158.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_1158_q5,Extrapolative/Counterfactual Reasoning,fbd_1158.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_1159_q1,Image Description,fbd_1159.png,How many force arrows are shown in this diagram?,4
fbd_1159_q2,Basic Relational Reasoning,fbd_1159.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1159_q3,Comparative Reasoning,fbd_1159.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['A'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1159_q4,Compound Reasoning,fbd_1159.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 33.96, 'required_friction_coefficient': 0.58}"
fbd_1159_q5,Extrapolative/Counterfactual Reasoning,fbd_1159.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1160_q1,Image Description,fbd_1160.png,How many force arrows are shown in this diagram?,2
fbd_1160_q2,Basic Relational Reasoning,fbd_1160.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1160_q3,Comparative Reasoning,fbd_1160.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1160_q4,Compound Reasoning,fbd_1160.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 19.52, 'tension_magnitude': 108.99}"
fbd_1160_q5,Extrapolative/Counterfactual Reasoning,fbd_1160.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1161_q1,Image Description,fbd_1161.png,How many force arrows are shown in this diagram?,4
fbd_1161_q2,Basic Relational Reasoning,fbd_1161.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1161_q3,Comparative Reasoning,fbd_1161.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1161_q4,Compound Reasoning,fbd_1161.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 29.11, 'tension_magnitude': 239.14}"
fbd_1161_q5,Extrapolative/Counterfactual Reasoning,fbd_1161.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1162_q1,Image Description,fbd_1162.png,How many force arrows are shown in this diagram?,4
fbd_1162_q2,Basic Relational Reasoning,fbd_1162.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1162_q3,Comparative Reasoning,fbd_1162.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1162_q4,Compound Reasoning,fbd_1162.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.73, 'net_force_N': 92.21}"
fbd_1162_q5,Extrapolative/Counterfactual Reasoning,fbd_1162.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (333.2 degrees; 0=right, 90=up)"
fbd_1163_q1,Image Description,fbd_1163.png,How many force arrows are shown in this diagram?,2
fbd_1163_q2,Basic Relational Reasoning,fbd_1163.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1163_q3,Comparative Reasoning,fbd_1163.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1163_q4,Compound Reasoning,fbd_1163.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 17.15, 'support_force_magnitude': 85.82}"
fbd_1163_q5,Extrapolative/Counterfactual Reasoning,fbd_1163.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1164_q1,Image Description,fbd_1164.png,How many force arrows are shown in this diagram?,3
fbd_1164_q2,Basic Relational Reasoning,fbd_1164.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1164_q3,Comparative Reasoning,fbd_1164.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1164_q4,Compound Reasoning,fbd_1164.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 14.88, 'required_friction_coefficient': 0.35}"
fbd_1164_q5,Extrapolative/Counterfactual Reasoning,fbd_1164.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250.9 degrees; 0=right, 90=up)"
fbd_1165_q1,Image Description,fbd_1165.png,How many force arrows are shown in this diagram?,3
fbd_1165_q2,Basic Relational Reasoning,fbd_1165.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1165_q3,Comparative Reasoning,fbd_1165.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1165_q4,Compound Reasoning,fbd_1165.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.44}"
fbd_1165_q5,Extrapolative/Counterfactual Reasoning,fbd_1165.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1166_q1,Image Description,fbd_1166.png,How many force arrows are shown in this diagram?,1
fbd_1166_q2,Basic Relational Reasoning,fbd_1166.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1166_q3,Comparative Reasoning,fbd_1166.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1166_q4,Compound Reasoning,fbd_1166.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 161.47}"
fbd_1166_q5,Extrapolative/Counterfactual Reasoning,fbd_1166.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1167_q1,Image Description,fbd_1167.png,How many force arrows are shown in this diagram?,3
fbd_1167_q2,Basic Relational Reasoning,fbd_1167.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1167_q3,Comparative Reasoning,fbd_1167.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1167_q4,Compound Reasoning,fbd_1167.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 186.29}"
fbd_1167_q5,Extrapolative/Counterfactual Reasoning,fbd_1167.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1168_q1,Image Description,fbd_1168.png,How many force arrows are shown in this diagram?,3
fbd_1168_q2,Basic Relational Reasoning,fbd_1168.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1168_q3,Comparative Reasoning,fbd_1168.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1168_q4,Compound Reasoning,fbd_1168.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 0.0}"
fbd_1168_q5,Extrapolative/Counterfactual Reasoning,fbd_1168.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1169_q1,Image Description,fbd_1169.png,How many force arrows are shown in this diagram?,1
fbd_1169_q2,Basic Relational Reasoning,fbd_1169.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1169_q3,Comparative Reasoning,fbd_1169.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1169_q4,Compound Reasoning,fbd_1169.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 191.98}"
fbd_1169_q5,Extrapolative/Counterfactual Reasoning,fbd_1169.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1170_q1,Image Description,fbd_1170.png,How many force arrows are shown in this diagram?,2
fbd_1170_q2,Basic Relational Reasoning,fbd_1170.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1170_q3,Comparative Reasoning,fbd_1170.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1170_q4,Compound Reasoning,fbd_1170.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.32}"
fbd_1170_q5,Extrapolative/Counterfactual Reasoning,fbd_1170.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_1171_q1,Image Description,fbd_1171.png,How many force arrows are shown in this diagram?,4
fbd_1171_q2,Basic Relational Reasoning,fbd_1171.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1171_q3,Comparative Reasoning,fbd_1171.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1171_q4,Compound Reasoning,fbd_1171.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 121.0, 'magnitude': 147.826901}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 156.0, 'magnitude': 147.826901}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1171_q5,Extrapolative/Counterfactual Reasoning,fbd_1171.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1172_q1,Image Description,fbd_1172.png,How many force arrows are shown in this diagram?,2
fbd_1172_q2,Basic Relational Reasoning,fbd_1172.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1172_q3,Comparative Reasoning,fbd_1172.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1172_q4,Compound Reasoning,fbd_1172.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 144.7, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 144.6975}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 202.5765}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1172_q5,Extrapolative/Counterfactual Reasoning,fbd_1172.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1173_q1,Image Description,fbd_1173.png,How many force arrows are shown in this diagram?,4
fbd_1173_q2,Basic Relational Reasoning,fbd_1173.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1173_q3,Comparative Reasoning,fbd_1173.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1173_q4,Compound Reasoning,fbd_1173.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 124.39, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 124.3908}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 124.3908}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1173_q5,Extrapolative/Counterfactual Reasoning,fbd_1173.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1174_q1,Image Description,fbd_1174.png,How many force arrows are shown in this diagram?,4
fbd_1174_q2,Basic Relational Reasoning,fbd_1174.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1174_q3,Comparative Reasoning,fbd_1174.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1174_q4,Compound Reasoning,fbd_1174.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 141.87}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 198.618}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1174_q5,Extrapolative/Counterfactual Reasoning,fbd_1174.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1175_q1,Image Description,fbd_1175.png,How many force arrows are shown in this diagram?,2
fbd_1175_q2,Basic Relational Reasoning,fbd_1175.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1175_q3,Comparative Reasoning,fbd_1175.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1175_q4,Compound Reasoning,fbd_1175.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 127.14, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 127.1376}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 127.1376}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1175_q5,Extrapolative/Counterfactual Reasoning,fbd_1175.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1176_q1,Image Description,fbd_1176.png,How many force arrows are shown in this diagram?,3
fbd_1176_q2,Basic Relational Reasoning,fbd_1176.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1176_q3,Comparative Reasoning,fbd_1176.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1176_q4,Compound Reasoning,fbd_1176.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 71.0, 'magnitude': 171.782949}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 71.0, 'magnitude': 240.496129}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1176_q5,Extrapolative/Counterfactual Reasoning,fbd_1176.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_1177_q1,Image Description,fbd_1177.png,How many force arrows are shown in this diagram?,4
fbd_1177_q2,Basic Relational Reasoning,fbd_1177.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1177_q3,Comparative Reasoning,fbd_1177.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1177_q4,Compound Reasoning,fbd_1177.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_1177_q5,Extrapolative/Counterfactual Reasoning,fbd_1177.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1178_q1,Image Description,fbd_1178.png,How many force arrows are shown in this diagram?,2
fbd_1178_q2,Basic Relational Reasoning,fbd_1178.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1178_q3,Comparative Reasoning,fbd_1178.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1178_q4,Compound Reasoning,fbd_1178.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 152.15}"
fbd_1178_q5,Extrapolative/Counterfactual Reasoning,fbd_1178.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1179_q1,Image Description,fbd_1179.png,How many force arrows are shown in this diagram?,4
fbd_1179_q2,Basic Relational Reasoning,fbd_1179.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1179_q3,Comparative Reasoning,fbd_1179.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1179_q4,Compound Reasoning,fbd_1179.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 148.23}"
fbd_1179_q5,Extrapolative/Counterfactual Reasoning,fbd_1179.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1180_q1,Image Description,fbd_1180.png,How many force arrows are shown in this diagram?,4
fbd_1180_q2,Basic Relational Reasoning,fbd_1180.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1180_q3,Comparative Reasoning,fbd_1180.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1180_q4,Compound Reasoning,fbd_1180.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 0.0}"
fbd_1180_q5,Extrapolative/Counterfactual Reasoning,fbd_1180.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1181_q1,Image Description,fbd_1181.png,How many force arrows are shown in this diagram?,2
fbd_1181_q2,Basic Relational Reasoning,fbd_1181.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1181_q3,Comparative Reasoning,fbd_1181.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1181_q4,Compound Reasoning,fbd_1181.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 115.76}"
fbd_1181_q5,Extrapolative/Counterfactual Reasoning,fbd_1181.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1182_q1,Image Description,fbd_1182.png,How many force arrows are shown in this diagram?,3
fbd_1182_q2,Basic Relational Reasoning,fbd_1182.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1182_q3,Comparative Reasoning,fbd_1182.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1182_q4,Compound Reasoning,fbd_1182.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34}"
fbd_1182_q5,Extrapolative/Counterfactual Reasoning,fbd_1182.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_1183_q1,Image Description,fbd_1183.png,How many force arrows are shown in this diagram?,4
fbd_1183_q2,Basic Relational Reasoning,fbd_1183.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1183_q3,Comparative Reasoning,fbd_1183.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1183_q4,Compound Reasoning,fbd_1183.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 19.91, 'required_friction_coefficient': 0.4}"
fbd_1183_q5,Extrapolative/Counterfactual Reasoning,fbd_1183.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1184_q1,Image Description,fbd_1184.png,How many force arrows are shown in this diagram?,2
fbd_1184_q2,Basic Relational Reasoning,fbd_1184.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1184_q3,Comparative Reasoning,fbd_1184.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1184_q4,Compound Reasoning,fbd_1184.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 22.14, 'tension_magnitude': 117.07}"
fbd_1184_q5,Extrapolative/Counterfactual Reasoning,fbd_1184.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1185_q1,Image Description,fbd_1185.png,How many force arrows are shown in this diagram?,4
fbd_1185_q2,Basic Relational Reasoning,fbd_1185.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1185_q3,Comparative Reasoning,fbd_1185.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1185_q4,Compound Reasoning,fbd_1185.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 15.45, 'tension_magnitude': 114.63}"
fbd_1185_q5,Extrapolative/Counterfactual Reasoning,fbd_1185.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1186_q1,Image Description,fbd_1186.png,How many force arrows are shown in this diagram?,4
fbd_1186_q2,Basic Relational Reasoning,fbd_1186.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1186_q3,Comparative Reasoning,fbd_1186.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1186_q4,Compound Reasoning,fbd_1186.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 39.41}"
fbd_1186_q5,Extrapolative/Counterfactual Reasoning,fbd_1186.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (347 degrees; 0=right, 90=up)"
fbd_1187_q1,Image Description,fbd_1187.png,How many force arrows are shown in this diagram?,2
fbd_1187_q2,Basic Relational Reasoning,fbd_1187.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1187_q3,Comparative Reasoning,fbd_1187.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1187_q4,Compound Reasoning,fbd_1187.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 48.1, 'support_force_magnitude': 124.75}"
fbd_1187_q5,Extrapolative/Counterfactual Reasoning,fbd_1187.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1188_q1,Image Description,fbd_1188.png,How many force arrows are shown in this diagram?,3
fbd_1188_q2,Basic Relational Reasoning,fbd_1188.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1188_q3,Comparative Reasoning,fbd_1188.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1188_q4,Compound Reasoning,fbd_1188.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 32.24, 'required_friction_coefficient': 0.32}"
fbd_1188_q5,Extrapolative/Counterfactual Reasoning,fbd_1188.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252.1 degrees; 0=right, 90=up)"
fbd_1189_q1,Image Description,fbd_1189.png,How many force arrows are shown in this diagram?,3
fbd_1189_q2,Basic Relational Reasoning,fbd_1189.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1189_q3,Comparative Reasoning,fbd_1189.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1189_q4,Compound Reasoning,fbd_1189.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_1189_q5,Extrapolative/Counterfactual Reasoning,fbd_1189.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1190_q1,Image Description,fbd_1190.png,How many force arrows are shown in this diagram?,1
fbd_1190_q2,Basic Relational Reasoning,fbd_1190.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1190_q3,Comparative Reasoning,fbd_1190.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1190_q4,Compound Reasoning,fbd_1190.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 129.59}"
fbd_1190_q5,Extrapolative/Counterfactual Reasoning,fbd_1190.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1191_q1,Image Description,fbd_1191.png,How many force arrows are shown in this diagram?,3
fbd_1191_q2,Basic Relational Reasoning,fbd_1191.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1191_q3,Comparative Reasoning,fbd_1191.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1191_q4,Compound Reasoning,fbd_1191.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 123.8}"
fbd_1191_q5,Extrapolative/Counterfactual Reasoning,fbd_1191.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1192_q1,Image Description,fbd_1192.png,How many force arrows are shown in this diagram?,3
fbd_1192_q2,Basic Relational Reasoning,fbd_1192.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1192_q3,Comparative Reasoning,fbd_1192.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1192_q4,Compound Reasoning,fbd_1192.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 0.0}"
fbd_1192_q5,Extrapolative/Counterfactual Reasoning,fbd_1192.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1193_q1,Image Description,fbd_1193.png,How many force arrows are shown in this diagram?,1
fbd_1193_q2,Basic Relational Reasoning,fbd_1193.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1193_q3,Comparative Reasoning,fbd_1193.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1193_q4,Compound Reasoning,fbd_1193.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 107.22}"
fbd_1193_q5,Extrapolative/Counterfactual Reasoning,fbd_1193.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1194_q1,Image Description,fbd_1194.png,How many force arrows are shown in this diagram?,2
fbd_1194_q2,Basic Relational Reasoning,fbd_1194.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1194_q3,Comparative Reasoning,fbd_1194.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1194_q4,Compound Reasoning,fbd_1194.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45}"
fbd_1194_q5,Extrapolative/Counterfactual Reasoning,fbd_1194.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (246 degrees; 0=right, 90=up)"
fbd_1195_q1,Image Description,fbd_1195.png,How many force arrows are shown in this diagram?,4
fbd_1195_q2,Basic Relational Reasoning,fbd_1195.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1195_q3,Comparative Reasoning,fbd_1195.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1195_q4,Compound Reasoning,fbd_1195.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.5, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 119.0, 'magnitude': 93.35061}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 154.0, 'magnitude': 93.35061}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1195_q5,Extrapolative/Counterfactual Reasoning,fbd_1195.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1196_q1,Image Description,fbd_1196.png,How many force arrows are shown in this diagram?,2
fbd_1196_q2,Basic Relational Reasoning,fbd_1196.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1196_q3,Comparative Reasoning,fbd_1196.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1196_q4,Compound Reasoning,fbd_1196.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 85.05, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 85.0527}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 119.07378}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1196_q5,Extrapolative/Counterfactual Reasoning,fbd_1196.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1197_q1,Image Description,fbd_1197.png,How many force arrows are shown in this diagram?,4
fbd_1197_q2,Basic Relational Reasoning,fbd_1197.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1197_q3,Comparative Reasoning,fbd_1197.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1197_q4,Compound Reasoning,fbd_1197.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 203.56, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 203.5575}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 203.5575}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1197_q5,Extrapolative/Counterfactual Reasoning,fbd_1197.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1198_q1,Image Description,fbd_1198.png,How many force arrows are shown in this diagram?,4
fbd_1198_q2,Basic Relational Reasoning,fbd_1198.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1198_q3,Comparative Reasoning,fbd_1198.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1198_q4,Compound Reasoning,fbd_1198.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 169.12}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 236.768}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1198_q5,Extrapolative/Counterfactual Reasoning,fbd_1198.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1199_q1,Image Description,fbd_1199.png,How many force arrows are shown in this diagram?,2
fbd_1199_q2,Basic Relational Reasoning,fbd_1199.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1199_q3,Comparative Reasoning,fbd_1199.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1199_q4,Compound Reasoning,fbd_1199.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 204.05, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 204.048}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 204.048}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1199_q5,Extrapolative/Counterfactual Reasoning,fbd_1199.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1200_q1,Image Description,fbd_1200.png,How many force arrows are shown in this diagram?,3
fbd_1200_q2,Basic Relational Reasoning,fbd_1200.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1200_q3,Comparative Reasoning,fbd_1200.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1200_q4,Compound Reasoning,fbd_1200.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 65.0, 'magnitude': 189.109005}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 65.0, 'magnitude': 264.752607}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1200_q5,Extrapolative/Counterfactual Reasoning,fbd_1200.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_1201_q1,Image Description,fbd_1201.png,How many force arrows are shown in this diagram?,4
fbd_1201_q2,Basic Relational Reasoning,fbd_1201.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1201_q3,Comparative Reasoning,fbd_1201.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1201_q4,Compound Reasoning,fbd_1201.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.52}"
fbd_1201_q5,Extrapolative/Counterfactual Reasoning,fbd_1201.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1202_q1,Image Description,fbd_1202.png,How many force arrows are shown in this diagram?,2
fbd_1202_q2,Basic Relational Reasoning,fbd_1202.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1202_q3,Comparative Reasoning,fbd_1202.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1202_q4,Compound Reasoning,fbd_1202.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 107.62}"
fbd_1202_q5,Extrapolative/Counterfactual Reasoning,fbd_1202.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1203_q1,Image Description,fbd_1203.png,How many force arrows are shown in this diagram?,4
fbd_1203_q2,Basic Relational Reasoning,fbd_1203.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1203_q3,Comparative Reasoning,fbd_1203.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1203_q4,Compound Reasoning,fbd_1203.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 186.59}"
fbd_1203_q5,Extrapolative/Counterfactual Reasoning,fbd_1203.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1204_q1,Image Description,fbd_1204.png,How many force arrows are shown in this diagram?,4
fbd_1204_q2,Basic Relational Reasoning,fbd_1204.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1204_q3,Comparative Reasoning,fbd_1204.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1204_q4,Compound Reasoning,fbd_1204.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 0.0}"
fbd_1204_q5,Extrapolative/Counterfactual Reasoning,fbd_1204.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1205_q1,Image Description,fbd_1205.png,How many force arrows are shown in this diagram?,2
fbd_1205_q2,Basic Relational Reasoning,fbd_1205.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1205_q3,Comparative Reasoning,fbd_1205.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1205_q4,Compound Reasoning,fbd_1205.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 161.37}"
fbd_1205_q5,Extrapolative/Counterfactual Reasoning,fbd_1205.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1206_q1,Image Description,fbd_1206.png,How many force arrows are shown in this diagram?,3
fbd_1206_q2,Basic Relational Reasoning,fbd_1206.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1206_q3,Comparative Reasoning,fbd_1206.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1206_q4,Compound Reasoning,fbd_1206.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_1206_q5,Extrapolative/Counterfactual Reasoning,fbd_1206.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_1207_q1,Image Description,fbd_1207.png,How many force arrows are shown in this diagram?,4
fbd_1207_q2,Basic Relational Reasoning,fbd_1207.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1207_q3,Comparative Reasoning,fbd_1207.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1207_q4,Compound Reasoning,fbd_1207.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 47.23, 'required_friction_coefficient': 0.43}"
fbd_1207_q5,Extrapolative/Counterfactual Reasoning,fbd_1207.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1208_q1,Image Description,fbd_1208.png,How many force arrows are shown in this diagram?,2
fbd_1208_q2,Basic Relational Reasoning,fbd_1208.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1208_q3,Comparative Reasoning,fbd_1208.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1208_q4,Compound Reasoning,fbd_1208.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 15.67, 'tension_magnitude': 47.6}"
fbd_1208_q5,Extrapolative/Counterfactual Reasoning,fbd_1208.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1209_q1,Image Description,fbd_1209.png,How many force arrows are shown in this diagram?,4
fbd_1209_q2,Basic Relational Reasoning,fbd_1209.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1209_q3,Comparative Reasoning,fbd_1209.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1209_q4,Compound Reasoning,fbd_1209.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 14.16, 'tension_magnitude': 203.0}"
fbd_1209_q5,Extrapolative/Counterfactual Reasoning,fbd_1209.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1210_q1,Image Description,fbd_1210.png,How many force arrows are shown in this diagram?,4
fbd_1210_q2,Basic Relational Reasoning,fbd_1210.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1210_q3,Comparative Reasoning,fbd_1210.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1210_q4,Compound Reasoning,fbd_1210.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 44.08}"
fbd_1210_q5,Extrapolative/Counterfactual Reasoning,fbd_1210.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (338.8 degrees; 0=right, 90=up)"
fbd_1211_q1,Image Description,fbd_1211.png,How many force arrows are shown in this diagram?,2
fbd_1211_q2,Basic Relational Reasoning,fbd_1211.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1211_q3,Comparative Reasoning,fbd_1211.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1211_q4,Compound Reasoning,fbd_1211.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 20.7, 'support_force_magnitude': 125.37}"
fbd_1211_q5,Extrapolative/Counterfactual Reasoning,fbd_1211.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1212_q1,Image Description,fbd_1212.png,How many force arrows are shown in this diagram?,3
fbd_1212_q2,Basic Relational Reasoning,fbd_1212.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1212_q3,Comparative Reasoning,fbd_1212.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1212_q4,Compound Reasoning,fbd_1212.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 44.43, 'required_friction_coefficient': 0.11}"
fbd_1212_q5,Extrapolative/Counterfactual Reasoning,fbd_1212.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (263.7 degrees; 0=right, 90=up)"
fbd_1213_q1,Image Description,fbd_1213.png,How many force arrows are shown in this diagram?,3
fbd_1213_q2,Basic Relational Reasoning,fbd_1213.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1213_q3,Comparative Reasoning,fbd_1213.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1213_q4,Compound Reasoning,fbd_1213.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.54}"
fbd_1213_q5,Extrapolative/Counterfactual Reasoning,fbd_1213.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1214_q1,Image Description,fbd_1214.png,How many force arrows are shown in this diagram?,1
fbd_1214_q2,Basic Relational Reasoning,fbd_1214.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1214_q3,Comparative Reasoning,fbd_1214.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1214_q4,Compound Reasoning,fbd_1214.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 214.54}"
fbd_1214_q5,Extrapolative/Counterfactual Reasoning,fbd_1214.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1215_q1,Image Description,fbd_1215.png,How many force arrows are shown in this diagram?,3
fbd_1215_q2,Basic Relational Reasoning,fbd_1215.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1215_q3,Comparative Reasoning,fbd_1215.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1215_q4,Compound Reasoning,fbd_1215.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 128.12}"
fbd_1215_q5,Extrapolative/Counterfactual Reasoning,fbd_1215.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1216_q1,Image Description,fbd_1216.png,How many force arrows are shown in this diagram?,3
fbd_1216_q2,Basic Relational Reasoning,fbd_1216.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1216_q3,Comparative Reasoning,fbd_1216.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1216_q4,Compound Reasoning,fbd_1216.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.73, 'net_force_N': 0.0}"
fbd_1216_q5,Extrapolative/Counterfactual Reasoning,fbd_1216.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1217_q1,Image Description,fbd_1217.png,How many force arrows are shown in this diagram?,1
fbd_1217_q2,Basic Relational Reasoning,fbd_1217.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1217_q3,Comparative Reasoning,fbd_1217.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1217_q4,Compound Reasoning,fbd_1217.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 209.54}"
fbd_1217_q5,Extrapolative/Counterfactual Reasoning,fbd_1217.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1218_q1,Image Description,fbd_1218.png,How many force arrows are shown in this diagram?,2
fbd_1218_q2,Basic Relational Reasoning,fbd_1218.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1218_q3,Comparative Reasoning,fbd_1218.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1218_q4,Compound Reasoning,fbd_1218.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_1218_q5,Extrapolative/Counterfactual Reasoning,fbd_1218.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_1219_q1,Image Description,fbd_1219.png,How many force arrows are shown in this diagram?,4
fbd_1219_q2,Basic Relational Reasoning,fbd_1219.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1219_q3,Comparative Reasoning,fbd_1219.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1219_q4,Compound Reasoning,fbd_1219.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.54, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 123.0, 'magnitude': 162.490326}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 158.0, 'magnitude': 162.490326}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1219_q5,Extrapolative/Counterfactual Reasoning,fbd_1219.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1220_q1,Image Description,fbd_1220.png,How many force arrows are shown in this diagram?,2
fbd_1220_q2,Basic Relational Reasoning,fbd_1220.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1220_q3,Comparative Reasoning,fbd_1220.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1220_q4,Compound Reasoning,fbd_1220.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 101.04, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 101.043}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 141.4602}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1220_q5,Extrapolative/Counterfactual Reasoning,fbd_1220.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1221_q1,Image Description,fbd_1221.png,How many force arrows are shown in this diagram?,4
fbd_1221_q2,Basic Relational Reasoning,fbd_1221.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1221_q3,Comparative Reasoning,fbd_1221.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1221_q4,Compound Reasoning,fbd_1221.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 68.18, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 68.1795}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 68.1795}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1221_q5,Extrapolative/Counterfactual Reasoning,fbd_1221.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1222_q1,Image Description,fbd_1222.png,How many force arrows are shown in this diagram?,4
fbd_1222_q2,Basic Relational Reasoning,fbd_1222.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1222_q3,Comparative Reasoning,fbd_1222.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1222_q4,Compound Reasoning,fbd_1222.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 233.53}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 326.942}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1222_q5,Extrapolative/Counterfactual Reasoning,fbd_1222.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1223_q1,Image Description,fbd_1223.png,How many force arrows are shown in this diagram?,2
fbd_1223_q2,Basic Relational Reasoning,fbd_1223.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1223_q3,Comparative Reasoning,fbd_1223.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1223_q4,Compound Reasoning,fbd_1223.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 207.78, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 207.7758}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 207.7758}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1223_q5,Extrapolative/Counterfactual Reasoning,fbd_1223.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1224_q1,Image Description,fbd_1224.png,How many force arrows are shown in this diagram?,3
fbd_1224_q2,Basic Relational Reasoning,fbd_1224.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1224_q3,Comparative Reasoning,fbd_1224.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1224_q4,Compound Reasoning,fbd_1224.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 63.0, 'magnitude': 66.954329}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 63.0, 'magnitude': 93.736061}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1224_q5,Extrapolative/Counterfactual Reasoning,fbd_1224.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_1225_q1,Image Description,fbd_1225.png,How many force arrows are shown in this diagram?,4
fbd_1225_q2,Basic Relational Reasoning,fbd_1225.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1225_q3,Comparative Reasoning,fbd_1225.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1225_q4,Compound Reasoning,fbd_1225.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_1225_q5,Extrapolative/Counterfactual Reasoning,fbd_1225.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1226_q1,Image Description,fbd_1226.png,How many force arrows are shown in this diagram?,2
fbd_1226_q2,Basic Relational Reasoning,fbd_1226.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1226_q3,Comparative Reasoning,fbd_1226.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1226_q4,Compound Reasoning,fbd_1226.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 130.57}"
fbd_1226_q5,Extrapolative/Counterfactual Reasoning,fbd_1226.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1227_q1,Image Description,fbd_1227.png,How many force arrows are shown in this diagram?,4
fbd_1227_q2,Basic Relational Reasoning,fbd_1227.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1227_q3,Comparative Reasoning,fbd_1227.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1227_q4,Compound Reasoning,fbd_1227.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 155.29}"
fbd_1227_q5,Extrapolative/Counterfactual Reasoning,fbd_1227.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1228_q1,Image Description,fbd_1228.png,How many force arrows are shown in this diagram?,4
fbd_1228_q2,Basic Relational Reasoning,fbd_1228.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1228_q3,Comparative Reasoning,fbd_1228.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1228_q4,Compound Reasoning,fbd_1228.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 0.0}"
fbd_1228_q5,Extrapolative/Counterfactual Reasoning,fbd_1228.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1229_q1,Image Description,fbd_1229.png,How many force arrows are shown in this diagram?,2
fbd_1229_q2,Basic Relational Reasoning,fbd_1229.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1229_q3,Comparative Reasoning,fbd_1229.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1229_q4,Compound Reasoning,fbd_1229.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 78.87}"
fbd_1229_q5,Extrapolative/Counterfactual Reasoning,fbd_1229.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1230_q1,Image Description,fbd_1230.png,How many force arrows are shown in this diagram?,3
fbd_1230_q2,Basic Relational Reasoning,fbd_1230.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1230_q3,Comparative Reasoning,fbd_1230.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1230_q4,Compound Reasoning,fbd_1230.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_1230_q5,Extrapolative/Counterfactual Reasoning,fbd_1230.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_1231_q1,Image Description,fbd_1231.png,How many force arrows are shown in this diagram?,4
fbd_1231_q2,Basic Relational Reasoning,fbd_1231.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1231_q3,Comparative Reasoning,fbd_1231.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1231_q4,Compound Reasoning,fbd_1231.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 35.09, 'required_friction_coefficient': 0.51}"
fbd_1231_q5,Extrapolative/Counterfactual Reasoning,fbd_1231.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1232_q1,Image Description,fbd_1232.png,How many force arrows are shown in this diagram?,2
fbd_1232_q2,Basic Relational Reasoning,fbd_1232.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1232_q3,Comparative Reasoning,fbd_1232.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1232_q4,Compound Reasoning,fbd_1232.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 38.71, 'tension_magnitude': 110.79}"
fbd_1232_q5,Extrapolative/Counterfactual Reasoning,fbd_1232.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1233_q1,Image Description,fbd_1233.png,How many force arrows are shown in this diagram?,4
fbd_1233_q2,Basic Relational Reasoning,fbd_1233.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1233_q3,Comparative Reasoning,fbd_1233.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1233_q4,Compound Reasoning,fbd_1233.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 24.8, 'tension_magnitude': 133.01}"
fbd_1233_q5,Extrapolative/Counterfactual Reasoning,fbd_1233.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1234_q1,Image Description,fbd_1234.png,How many force arrows are shown in this diagram?,4
fbd_1234_q2,Basic Relational Reasoning,fbd_1234.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1234_q3,Comparative Reasoning,fbd_1234.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1234_q4,Compound Reasoning,fbd_1234.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 136.43}"
fbd_1234_q5,Extrapolative/Counterfactual Reasoning,fbd_1234.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (337.9 degrees; 0=right, 90=up)"
fbd_1235_q1,Image Description,fbd_1235.png,How many force arrows are shown in this diagram?,2
fbd_1235_q2,Basic Relational Reasoning,fbd_1235.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1235_q3,Comparative Reasoning,fbd_1235.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1235_q4,Compound Reasoning,fbd_1235.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 42.52, 'support_force_magnitude': 244.02}"
fbd_1235_q5,Extrapolative/Counterfactual Reasoning,fbd_1235.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1236_q1,Image Description,fbd_1236.png,How many force arrows are shown in this diagram?,3
fbd_1236_q2,Basic Relational Reasoning,fbd_1236.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1236_q3,Comparative Reasoning,fbd_1236.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1236_q4,Compound Reasoning,fbd_1236.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 38.16, 'required_friction_coefficient': 0.21}"
fbd_1236_q5,Extrapolative/Counterfactual Reasoning,fbd_1236.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (258 degrees; 0=right, 90=up)"
fbd_1237_q1,Image Description,fbd_1237.png,How many force arrows are shown in this diagram?,3
fbd_1237_q2,Basic Relational Reasoning,fbd_1237.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1237_q3,Comparative Reasoning,fbd_1237.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1237_q4,Compound Reasoning,fbd_1237.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53}"
fbd_1237_q5,Extrapolative/Counterfactual Reasoning,fbd_1237.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1238_q1,Image Description,fbd_1238.png,How many force arrows are shown in this diagram?,1
fbd_1238_q2,Basic Relational Reasoning,fbd_1238.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1238_q3,Comparative Reasoning,fbd_1238.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1238_q4,Compound Reasoning,fbd_1238.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 62.98}"
fbd_1238_q5,Extrapolative/Counterfactual Reasoning,fbd_1238.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1239_q1,Image Description,fbd_1239.png,How many force arrows are shown in this diagram?,3
fbd_1239_q2,Basic Relational Reasoning,fbd_1239.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1239_q3,Comparative Reasoning,fbd_1239.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1239_q4,Compound Reasoning,fbd_1239.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 70.63}"
fbd_1239_q5,Extrapolative/Counterfactual Reasoning,fbd_1239.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1240_q1,Image Description,fbd_1240.png,How many force arrows are shown in this diagram?,3
fbd_1240_q2,Basic Relational Reasoning,fbd_1240.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1240_q3,Comparative Reasoning,fbd_1240.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1240_q4,Compound Reasoning,fbd_1240.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.65, 'net_force_N': 0.0}"
fbd_1240_q5,Extrapolative/Counterfactual Reasoning,fbd_1240.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1241_q1,Image Description,fbd_1241.png,How many force arrows are shown in this diagram?,1
fbd_1241_q2,Basic Relational Reasoning,fbd_1241.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1241_q3,Comparative Reasoning,fbd_1241.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1241_q4,Compound Reasoning,fbd_1241.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 153.33}"
fbd_1241_q5,Extrapolative/Counterfactual Reasoning,fbd_1241.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1242_q1,Image Description,fbd_1242.png,How many force arrows are shown in this diagram?,2
fbd_1242_q2,Basic Relational Reasoning,fbd_1242.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1242_q3,Comparative Reasoning,fbd_1242.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1242_q4,Compound Reasoning,fbd_1242.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38}"
fbd_1242_q5,Extrapolative/Counterfactual Reasoning,fbd_1242.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_1243_q1,Image Description,fbd_1243.png,How many force arrows are shown in this diagram?,4
fbd_1243_q2,Basic Relational Reasoning,fbd_1243.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1243_q3,Comparative Reasoning,fbd_1243.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1243_q4,Compound Reasoning,fbd_1243.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.48, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 120.0, 'magnitude': 150.119182}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 155.0, 'magnitude': 150.119182}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1243_q5,Extrapolative/Counterfactual Reasoning,fbd_1243.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1244_q1,Image Description,fbd_1244.png,How many force arrows are shown in this diagram?,2
fbd_1244_q2,Basic Relational Reasoning,fbd_1244.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1244_q3,Comparative Reasoning,fbd_1244.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1244_q4,Compound Reasoning,fbd_1244.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 102.02, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 102.024}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 142.8336}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1244_q5,Extrapolative/Counterfactual Reasoning,fbd_1244.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1245_q1,Image Description,fbd_1245.png,How many force arrows are shown in this diagram?,4
fbd_1245_q2,Basic Relational Reasoning,fbd_1245.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1245_q3,Comparative Reasoning,fbd_1245.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1245_q4,Compound Reasoning,fbd_1245.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 143.32, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 143.3241}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 143.3241}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1245_q5,Extrapolative/Counterfactual Reasoning,fbd_1245.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1246_q1,Image Description,fbd_1246.png,How many force arrows are shown in this diagram?,4
fbd_1246_q2,Basic Relational Reasoning,fbd_1246.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1246_q3,Comparative Reasoning,fbd_1246.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1246_q4,Compound Reasoning,fbd_1246.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 139.33}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 195.062}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1246_q5,Extrapolative/Counterfactual Reasoning,fbd_1246.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1247_q1,Image Description,fbd_1247.png,How many force arrows are shown in this diagram?,2
fbd_1247_q2,Basic Relational Reasoning,fbd_1247.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1247_q3,Comparative Reasoning,fbd_1247.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1247_q4,Compound Reasoning,fbd_1247.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 180.31, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 180.3078}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 180.3078}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1247_q5,Extrapolative/Counterfactual Reasoning,fbd_1247.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1248_q1,Image Description,fbd_1248.png,How many force arrows are shown in this diagram?,3
fbd_1248_q2,Basic Relational Reasoning,fbd_1248.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1248_q3,Comparative Reasoning,fbd_1248.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1248_q4,Compound Reasoning,fbd_1248.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 60.0, 'magnitude': 128.200252}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 60.0, 'magnitude': 179.480353}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1248_q5,Extrapolative/Counterfactual Reasoning,fbd_1248.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_1249_q1,Image Description,fbd_1249.png,How many force arrows are shown in this diagram?,4
fbd_1249_q2,Basic Relational Reasoning,fbd_1249.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1249_q3,Comparative Reasoning,fbd_1249.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1249_q4,Compound Reasoning,fbd_1249.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.63}"
fbd_1249_q5,Extrapolative/Counterfactual Reasoning,fbd_1249.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1250_q1,Image Description,fbd_1250.png,How many force arrows are shown in this diagram?,2
fbd_1250_q2,Basic Relational Reasoning,fbd_1250.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1250_q3,Comparative Reasoning,fbd_1250.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1250_q4,Compound Reasoning,fbd_1250.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 81.82}"
fbd_1250_q5,Extrapolative/Counterfactual Reasoning,fbd_1250.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1251_q1,Image Description,fbd_1251.png,How many force arrows are shown in this diagram?,4
fbd_1251_q2,Basic Relational Reasoning,fbd_1251.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1251_q3,Comparative Reasoning,fbd_1251.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1251_q4,Compound Reasoning,fbd_1251.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 168.63}"
fbd_1251_q5,Extrapolative/Counterfactual Reasoning,fbd_1251.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1252_q1,Image Description,fbd_1252.png,How many force arrows are shown in this diagram?,4
fbd_1252_q2,Basic Relational Reasoning,fbd_1252.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1252_q3,Comparative Reasoning,fbd_1252.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1252_q4,Compound Reasoning,fbd_1252.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 0.0}"
fbd_1252_q5,Extrapolative/Counterfactual Reasoning,fbd_1252.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1253_q1,Image Description,fbd_1253.png,How many force arrows are shown in this diagram?,2
fbd_1253_q2,Basic Relational Reasoning,fbd_1253.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1253_q3,Comparative Reasoning,fbd_1253.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1253_q4,Compound Reasoning,fbd_1253.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 173.83}"
fbd_1253_q5,Extrapolative/Counterfactual Reasoning,fbd_1253.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1254_q1,Image Description,fbd_1254.png,How many force arrows are shown in this diagram?,3
fbd_1254_q2,Basic Relational Reasoning,fbd_1254.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1254_q3,Comparative Reasoning,fbd_1254.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1254_q4,Compound Reasoning,fbd_1254.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36}"
fbd_1254_q5,Extrapolative/Counterfactual Reasoning,fbd_1254.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_1255_q1,Image Description,fbd_1255.png,How many force arrows are shown in this diagram?,4
fbd_1255_q2,Basic Relational Reasoning,fbd_1255.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1255_q3,Comparative Reasoning,fbd_1255.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1255_q4,Compound Reasoning,fbd_1255.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 37.61, 'required_friction_coefficient': 0.45}"
fbd_1255_q5,Extrapolative/Counterfactual Reasoning,fbd_1255.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1256_q1,Image Description,fbd_1256.png,How many force arrows are shown in this diagram?,2
fbd_1256_q2,Basic Relational Reasoning,fbd_1256.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1256_q3,Comparative Reasoning,fbd_1256.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1256_q4,Compound Reasoning,fbd_1256.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 18.44, 'tension_magnitude': 126.26}"
fbd_1256_q5,Extrapolative/Counterfactual Reasoning,fbd_1256.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1257_q1,Image Description,fbd_1257.png,How many force arrows are shown in this diagram?,4
fbd_1257_q2,Basic Relational Reasoning,fbd_1257.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1257_q3,Comparative Reasoning,fbd_1257.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1257_q4,Compound Reasoning,fbd_1257.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 18.75, 'tension_magnitude': 157.66}"
fbd_1257_q5,Extrapolative/Counterfactual Reasoning,fbd_1257.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1258_q1,Image Description,fbd_1258.png,How many force arrows are shown in this diagram?,4
fbd_1258_q2,Basic Relational Reasoning,fbd_1258.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1258_q3,Comparative Reasoning,fbd_1258.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1258_q4,Compound Reasoning,fbd_1258.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 33.29}"
fbd_1258_q5,Extrapolative/Counterfactual Reasoning,fbd_1258.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (347.5 degrees; 0=right, 90=up)"
fbd_1259_q1,Image Description,fbd_1259.png,How many force arrows are shown in this diagram?,2
fbd_1259_q2,Basic Relational Reasoning,fbd_1259.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1259_q3,Comparative Reasoning,fbd_1259.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1259_q4,Compound Reasoning,fbd_1259.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 28.84, 'support_force_magnitude': 90.54}"
fbd_1259_q5,Extrapolative/Counterfactual Reasoning,fbd_1259.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1260_q1,Image Description,fbd_1260.png,How many force arrows are shown in this diagram?,3
fbd_1260_q2,Basic Relational Reasoning,fbd_1260.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1260_q3,Comparative Reasoning,fbd_1260.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1260_q4,Compound Reasoning,fbd_1260.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 15.99, 'required_friction_coefficient': 0.15}"
fbd_1260_q5,Extrapolative/Counterfactual Reasoning,fbd_1260.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (261.3 degrees; 0=right, 90=up)"
fbd_1261_q1,Image Description,fbd_1261.png,How many force arrows are shown in this diagram?,3
fbd_1261_q2,Basic Relational Reasoning,fbd_1261.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1261_q3,Comparative Reasoning,fbd_1261.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1261_q4,Compound Reasoning,fbd_1261.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45}"
fbd_1261_q5,Extrapolative/Counterfactual Reasoning,fbd_1261.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1262_q1,Image Description,fbd_1262.png,How many force arrows are shown in this diagram?,1
fbd_1262_q2,Basic Relational Reasoning,fbd_1262.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1262_q3,Comparative Reasoning,fbd_1262.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1262_q4,Compound Reasoning,fbd_1262.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 88.98}"
fbd_1262_q5,Extrapolative/Counterfactual Reasoning,fbd_1262.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1263_q1,Image Description,fbd_1263.png,How many force arrows are shown in this diagram?,3
fbd_1263_q2,Basic Relational Reasoning,fbd_1263.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1263_q3,Comparative Reasoning,fbd_1263.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1263_q4,Compound Reasoning,fbd_1263.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 210.62}"
fbd_1263_q5,Extrapolative/Counterfactual Reasoning,fbd_1263.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1264_q1,Image Description,fbd_1264.png,How many force arrows are shown in this diagram?,3
fbd_1264_q2,Basic Relational Reasoning,fbd_1264.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1264_q3,Comparative Reasoning,fbd_1264.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1264_q4,Compound Reasoning,fbd_1264.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 0.0}"
fbd_1264_q5,Extrapolative/Counterfactual Reasoning,fbd_1264.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1265_q1,Image Description,fbd_1265.png,How many force arrows are shown in this diagram?,1
fbd_1265_q2,Basic Relational Reasoning,fbd_1265.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1265_q3,Comparative Reasoning,fbd_1265.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1265_q4,Compound Reasoning,fbd_1265.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 59.84}"
fbd_1265_q5,Extrapolative/Counterfactual Reasoning,fbd_1265.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1266_q1,Image Description,fbd_1266.png,How many force arrows are shown in this diagram?,2
fbd_1266_q2,Basic Relational Reasoning,fbd_1266.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1266_q3,Comparative Reasoning,fbd_1266.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1266_q4,Compound Reasoning,fbd_1266.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34}"
fbd_1266_q5,Extrapolative/Counterfactual Reasoning,fbd_1266.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_1267_q1,Image Description,fbd_1267.png,How many force arrows are shown in this diagram?,4
fbd_1267_q2,Basic Relational Reasoning,fbd_1267.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1267_q3,Comparative Reasoning,fbd_1267.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1267_q4,Compound Reasoning,fbd_1267.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.46, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 119.0, 'magnitude': 60.403336}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 154.0, 'magnitude': 60.403336}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1267_q5,Extrapolative/Counterfactual Reasoning,fbd_1267.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1268_q1,Image Description,fbd_1268.png,How many force arrows are shown in this diagram?,2
fbd_1268_q2,Basic Relational Reasoning,fbd_1268.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1268_q3,Comparative Reasoning,fbd_1268.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1268_q4,Compound Reasoning,fbd_1268.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 72.01, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 72.0054}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 100.80756}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1268_q5,Extrapolative/Counterfactual Reasoning,fbd_1268.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1269_q1,Image Description,fbd_1269.png,How many force arrows are shown in this diagram?,4
fbd_1269_q2,Basic Relational Reasoning,fbd_1269.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1269_q3,Comparative Reasoning,fbd_1269.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1269_q4,Compound Reasoning,fbd_1269.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 174.81, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 174.8142}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 174.8142}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1269_q5,Extrapolative/Counterfactual Reasoning,fbd_1269.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1270_q1,Image Description,fbd_1270.png,How many force arrows are shown in this diagram?,4
fbd_1270_q2,Basic Relational Reasoning,fbd_1270.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1270_q3,Comparative Reasoning,fbd_1270.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1270_q4,Compound Reasoning,fbd_1270.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.68, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 218.79}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 306.306}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1270_q5,Extrapolative/Counterfactual Reasoning,fbd_1270.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1271_q1,Image Description,fbd_1271.png,How many force arrows are shown in this diagram?,2
fbd_1271_q2,Basic Relational Reasoning,fbd_1271.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1271_q3,Comparative Reasoning,fbd_1271.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1271_q4,Compound Reasoning,fbd_1271.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 113.4, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 113.4036}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 113.4036}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1271_q5,Extrapolative/Counterfactual Reasoning,fbd_1271.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1272_q1,Image Description,fbd_1272.png,How many force arrows are shown in this diagram?,3
fbd_1272_q2,Basic Relational Reasoning,fbd_1272.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1272_q3,Comparative Reasoning,fbd_1272.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1272_q4,Compound Reasoning,fbd_1272.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 74.0, 'magnitude': 90.716381}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 74.0, 'magnitude': 127.002933}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1272_q5,Extrapolative/Counterfactual Reasoning,fbd_1272.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_1273_q1,Image Description,fbd_1273.png,How many force arrows are shown in this diagram?,4
fbd_1273_q2,Basic Relational Reasoning,fbd_1273.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1273_q3,Comparative Reasoning,fbd_1273.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1273_q4,Compound Reasoning,fbd_1273.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_1273_q5,Extrapolative/Counterfactual Reasoning,fbd_1273.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1274_q1,Image Description,fbd_1274.png,How many force arrows are shown in this diagram?,2
fbd_1274_q2,Basic Relational Reasoning,fbd_1274.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1274_q3,Comparative Reasoning,fbd_1274.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1274_q4,Compound Reasoning,fbd_1274.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 77.4}"
fbd_1274_q5,Extrapolative/Counterfactual Reasoning,fbd_1274.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1275_q1,Image Description,fbd_1275.png,How many force arrows are shown in this diagram?,4
fbd_1275_q2,Basic Relational Reasoning,fbd_1275.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1275_q3,Comparative Reasoning,fbd_1275.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1275_q4,Compound Reasoning,fbd_1275.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 161.28}"
fbd_1275_q5,Extrapolative/Counterfactual Reasoning,fbd_1275.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1276_q1,Image Description,fbd_1276.png,How many force arrows are shown in this diagram?,4
fbd_1276_q2,Basic Relational Reasoning,fbd_1276.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1276_q3,Comparative Reasoning,fbd_1276.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1276_q4,Compound Reasoning,fbd_1276.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0}"
fbd_1276_q5,Extrapolative/Counterfactual Reasoning,fbd_1276.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1277_q1,Image Description,fbd_1277.png,How many force arrows are shown in this diagram?,2
fbd_1277_q2,Basic Relational Reasoning,fbd_1277.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1277_q3,Comparative Reasoning,fbd_1277.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1277_q4,Compound Reasoning,fbd_1277.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 93.59}"
fbd_1277_q5,Extrapolative/Counterfactual Reasoning,fbd_1277.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1278_q1,Image Description,fbd_1278.png,How many force arrows are shown in this diagram?,3
fbd_1278_q2,Basic Relational Reasoning,fbd_1278.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1278_q3,Comparative Reasoning,fbd_1278.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1278_q4,Compound Reasoning,fbd_1278.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_1278_q5,Extrapolative/Counterfactual Reasoning,fbd_1278.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_1279_q1,Image Description,fbd_1279.png,How many force arrows are shown in this diagram?,4
fbd_1279_q2,Basic Relational Reasoning,fbd_1279.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1279_q3,Comparative Reasoning,fbd_1279.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1279_q4,Compound Reasoning,fbd_1279.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 67.98, 'required_friction_coefficient': 0.6}"
fbd_1279_q5,Extrapolative/Counterfactual Reasoning,fbd_1279.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1280_q1,Image Description,fbd_1280.png,How many force arrows are shown in this diagram?,2
fbd_1280_q2,Basic Relational Reasoning,fbd_1280.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1280_q3,Comparative Reasoning,fbd_1280.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1280_q4,Compound Reasoning,fbd_1280.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 36.19, 'tension_magnitude': 162.16}"
fbd_1280_q5,Extrapolative/Counterfactual Reasoning,fbd_1280.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1281_q1,Image Description,fbd_1281.png,How many force arrows are shown in this diagram?,4
fbd_1281_q2,Basic Relational Reasoning,fbd_1281.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1281_q3,Comparative Reasoning,fbd_1281.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1281_q4,Compound Reasoning,fbd_1281.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 31.58, 'tension_magnitude': 124.98}"
fbd_1281_q5,Extrapolative/Counterfactual Reasoning,fbd_1281.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1282_q1,Image Description,fbd_1282.png,How many force arrows are shown in this diagram?,4
fbd_1282_q2,Basic Relational Reasoning,fbd_1282.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1282_q3,Comparative Reasoning,fbd_1282.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1282_q4,Compound Reasoning,fbd_1282.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 27.98}"
fbd_1282_q5,Extrapolative/Counterfactual Reasoning,fbd_1282.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (344.1 degrees; 0=right, 90=up)"
fbd_1283_q1,Image Description,fbd_1283.png,How many force arrows are shown in this diagram?,2
fbd_1283_q2,Basic Relational Reasoning,fbd_1283.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1283_q3,Comparative Reasoning,fbd_1283.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1283_q4,Compound Reasoning,fbd_1283.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 19.76, 'support_force_magnitude': 90.4}"
fbd_1283_q5,Extrapolative/Counterfactual Reasoning,fbd_1283.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1284_q1,Image Description,fbd_1284.png,How many force arrows are shown in this diagram?,3
fbd_1284_q2,Basic Relational Reasoning,fbd_1284.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1284_q3,Comparative Reasoning,fbd_1284.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1284_q4,Compound Reasoning,fbd_1284.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 22.33, 'required_friction_coefficient': 0.24}"
fbd_1284_q5,Extrapolative/Counterfactual Reasoning,fbd_1284.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (256.3 degrees; 0=right, 90=up)"
fbd_1285_q1,Image Description,fbd_1285.png,How many force arrows are shown in this diagram?,3
fbd_1285_q2,Basic Relational Reasoning,fbd_1285.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1285_q3,Comparative Reasoning,fbd_1285.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1285_q4,Compound Reasoning,fbd_1285.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.54}"
fbd_1285_q5,Extrapolative/Counterfactual Reasoning,fbd_1285.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1286_q1,Image Description,fbd_1286.png,How many force arrows are shown in this diagram?,1
fbd_1286_q2,Basic Relational Reasoning,fbd_1286.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1286_q3,Comparative Reasoning,fbd_1286.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1286_q4,Compound Reasoning,fbd_1286.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 111.44}"
fbd_1286_q5,Extrapolative/Counterfactual Reasoning,fbd_1286.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1287_q1,Image Description,fbd_1287.png,How many force arrows are shown in this diagram?,3
fbd_1287_q2,Basic Relational Reasoning,fbd_1287.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1287_q3,Comparative Reasoning,fbd_1287.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1287_q4,Compound Reasoning,fbd_1287.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 128.81}"
fbd_1287_q5,Extrapolative/Counterfactual Reasoning,fbd_1287.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1288_q1,Image Description,fbd_1288.png,How many force arrows are shown in this diagram?,3
fbd_1288_q2,Basic Relational Reasoning,fbd_1288.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1288_q3,Comparative Reasoning,fbd_1288.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1288_q4,Compound Reasoning,fbd_1288.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 0.0}"
fbd_1288_q5,Extrapolative/Counterfactual Reasoning,fbd_1288.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1289_q1,Image Description,fbd_1289.png,How many force arrows are shown in this diagram?,1
fbd_1289_q2,Basic Relational Reasoning,fbd_1289.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1289_q3,Comparative Reasoning,fbd_1289.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1289_q4,Compound Reasoning,fbd_1289.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 149.11}"
fbd_1289_q5,Extrapolative/Counterfactual Reasoning,fbd_1289.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1290_q1,Image Description,fbd_1290.png,How many force arrows are shown in this diagram?,2
fbd_1290_q2,Basic Relational Reasoning,fbd_1290.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1290_q3,Comparative Reasoning,fbd_1290.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1290_q4,Compound Reasoning,fbd_1290.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36}"
fbd_1290_q5,Extrapolative/Counterfactual Reasoning,fbd_1290.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_1291_q1,Image Description,fbd_1291.png,How many force arrows are shown in this diagram?,4
fbd_1291_q2,Basic Relational Reasoning,fbd_1291.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1291_q3,Comparative Reasoning,fbd_1291.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1291_q4,Compound Reasoning,fbd_1291.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.52, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 121.0, 'magnitude': 127.561666}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 156.0, 'magnitude': 127.561666}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1291_q5,Extrapolative/Counterfactual Reasoning,fbd_1291.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1292_q1,Image Description,fbd_1292.png,How many force arrows are shown in this diagram?,2
fbd_1292_q2,Basic Relational Reasoning,fbd_1292.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1292_q3,Comparative Reasoning,fbd_1292.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1292_q4,Compound Reasoning,fbd_1292.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 123.61, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 123.606}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 173.0484}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1292_q5,Extrapolative/Counterfactual Reasoning,fbd_1292.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1293_q1,Image Description,fbd_1293.png,How many force arrows are shown in this diagram?,4
fbd_1293_q2,Basic Relational Reasoning,fbd_1293.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1293_q3,Comparative Reasoning,fbd_1293.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1293_q4,Compound Reasoning,fbd_1293.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 106.24, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 106.2423}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 106.2423}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1293_q5,Extrapolative/Counterfactual Reasoning,fbd_1293.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1294_q1,Image Description,fbd_1294.png,How many force arrows are shown in this diagram?,4
fbd_1294_q2,Basic Relational Reasoning,fbd_1294.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1294_q3,Comparative Reasoning,fbd_1294.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1294_q4,Compound Reasoning,fbd_1294.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.65, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 308.43}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 431.802}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1294_q5,Extrapolative/Counterfactual Reasoning,fbd_1294.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1295_q1,Image Description,fbd_1295.png,How many force arrows are shown in this diagram?,2
fbd_1295_q2,Basic Relational Reasoning,fbd_1295.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1295_q3,Comparative Reasoning,fbd_1295.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1295_q4,Compound Reasoning,fbd_1295.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 73.97, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 73.9674}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 73.9674}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1295_q5,Extrapolative/Counterfactual Reasoning,fbd_1295.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1296_q1,Image Description,fbd_1296.png,How many force arrows are shown in this diagram?,3
fbd_1296_q2,Basic Relational Reasoning,fbd_1296.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1296_q3,Comparative Reasoning,fbd_1296.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1296_q4,Compound Reasoning,fbd_1296.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 69.0, 'magnitude': 124.554566}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 69.0, 'magnitude': 174.376392}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1296_q5,Extrapolative/Counterfactual Reasoning,fbd_1296.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_1297_q1,Image Description,fbd_1297.png,How many force arrows are shown in this diagram?,4
fbd_1297_q2,Basic Relational Reasoning,fbd_1297.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1297_q3,Comparative Reasoning,fbd_1297.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1297_q4,Compound Reasoning,fbd_1297.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.61}"
fbd_1297_q5,Extrapolative/Counterfactual Reasoning,fbd_1297.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1298_q1,Image Description,fbd_1298.png,How many force arrows are shown in this diagram?,2
fbd_1298_q2,Basic Relational Reasoning,fbd_1298.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1298_q3,Comparative Reasoning,fbd_1298.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1298_q4,Compound Reasoning,fbd_1298.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 208.56}"
fbd_1298_q5,Extrapolative/Counterfactual Reasoning,fbd_1298.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1299_q1,Image Description,fbd_1299.png,How many force arrows are shown in this diagram?,4
fbd_1299_q2,Basic Relational Reasoning,fbd_1299.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1299_q3,Comparative Reasoning,fbd_1299.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1299_q4,Compound Reasoning,fbd_1299.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 109.38}"
fbd_1299_q5,Extrapolative/Counterfactual Reasoning,fbd_1299.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1300_q1,Image Description,fbd_1300.png,How many force arrows are shown in this diagram?,4
fbd_1300_q2,Basic Relational Reasoning,fbd_1300.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1300_q3,Comparative Reasoning,fbd_1300.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1300_q4,Compound Reasoning,fbd_1300.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 0.0}"
fbd_1300_q5,Extrapolative/Counterfactual Reasoning,fbd_1300.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1301_q1,Image Description,fbd_1301.png,How many force arrows are shown in this diagram?,2
fbd_1301_q2,Basic Relational Reasoning,fbd_1301.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1301_q3,Comparative Reasoning,fbd_1301.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1301_q4,Compound Reasoning,fbd_1301.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 190.22}"
fbd_1301_q5,Extrapolative/Counterfactual Reasoning,fbd_1301.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1302_q1,Image Description,fbd_1302.png,How many force arrows are shown in this diagram?,3
fbd_1302_q2,Basic Relational Reasoning,fbd_1302.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1302_q3,Comparative Reasoning,fbd_1302.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1302_q4,Compound Reasoning,fbd_1302.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_1302_q5,Extrapolative/Counterfactual Reasoning,fbd_1302.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_1303_q1,Image Description,fbd_1303.png,How many force arrows are shown in this diagram?,4
fbd_1303_q2,Basic Relational Reasoning,fbd_1303.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1303_q3,Comparative Reasoning,fbd_1303.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1303_q4,Compound Reasoning,fbd_1303.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 50.79, 'required_friction_coefficient': 0.67}"
fbd_1303_q5,Extrapolative/Counterfactual Reasoning,fbd_1303.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1304_q1,Image Description,fbd_1304.png,How many force arrows are shown in this diagram?,2
fbd_1304_q2,Basic Relational Reasoning,fbd_1304.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1304_q3,Comparative Reasoning,fbd_1304.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1304_q4,Compound Reasoning,fbd_1304.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 35.44, 'tension_magnitude': 85.71}"
fbd_1304_q5,Extrapolative/Counterfactual Reasoning,fbd_1304.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1305_q1,Image Description,fbd_1305.png,How many force arrows are shown in this diagram?,4
fbd_1305_q2,Basic Relational Reasoning,fbd_1305.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1305_q3,Comparative Reasoning,fbd_1305.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1305_q4,Compound Reasoning,fbd_1305.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 21.27, 'tension_magnitude': 106.91}"
fbd_1305_q5,Extrapolative/Counterfactual Reasoning,fbd_1305.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1306_q1,Image Description,fbd_1306.png,How many force arrows are shown in this diagram?,4
fbd_1306_q2,Basic Relational Reasoning,fbd_1306.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1306_q3,Comparative Reasoning,fbd_1306.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1306_q4,Compound Reasoning,fbd_1306.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 111.6}"
fbd_1306_q5,Extrapolative/Counterfactual Reasoning,fbd_1306.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (339.2 degrees; 0=right, 90=up)"
fbd_1307_q1,Image Description,fbd_1307.png,How many force arrows are shown in this diagram?,2
fbd_1307_q2,Basic Relational Reasoning,fbd_1307.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1307_q3,Comparative Reasoning,fbd_1307.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1307_q4,Compound Reasoning,fbd_1307.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 26.28, 'support_force_magnitude': 175.29}"
fbd_1307_q5,Extrapolative/Counterfactual Reasoning,fbd_1307.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1308_q1,Image Description,fbd_1308.png,How many force arrows are shown in this diagram?,3
fbd_1308_q2,Basic Relational Reasoning,fbd_1308.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1308_q3,Comparative Reasoning,fbd_1308.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1308_q4,Compound Reasoning,fbd_1308.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 34.2, 'required_friction_coefficient': 0.07}"
fbd_1308_q5,Extrapolative/Counterfactual Reasoning,fbd_1308.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (266 degrees; 0=right, 90=up)"
fbd_1309_q1,Image Description,fbd_1309.png,How many force arrows are shown in this diagram?,3
fbd_1309_q2,Basic Relational Reasoning,fbd_1309.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1309_q3,Comparative Reasoning,fbd_1309.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1309_q4,Compound Reasoning,fbd_1309.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.6}"
fbd_1309_q5,Extrapolative/Counterfactual Reasoning,fbd_1309.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1310_q1,Image Description,fbd_1310.png,How many force arrows are shown in this diagram?,1
fbd_1310_q2,Basic Relational Reasoning,fbd_1310.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1310_q3,Comparative Reasoning,fbd_1310.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1310_q4,Compound Reasoning,fbd_1310.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 204.73}"
fbd_1310_q5,Extrapolative/Counterfactual Reasoning,fbd_1310.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1311_q1,Image Description,fbd_1311.png,How many force arrows are shown in this diagram?,3
fbd_1311_q2,Basic Relational Reasoning,fbd_1311.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1311_q3,Comparative Reasoning,fbd_1311.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1311_q4,Compound Reasoning,fbd_1311.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 81.62}"
fbd_1311_q5,Extrapolative/Counterfactual Reasoning,fbd_1311.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1312_q1,Image Description,fbd_1312.png,How many force arrows are shown in this diagram?,3
fbd_1312_q2,Basic Relational Reasoning,fbd_1312.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1312_q3,Comparative Reasoning,fbd_1312.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1312_q4,Compound Reasoning,fbd_1312.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0}"
fbd_1312_q5,Extrapolative/Counterfactual Reasoning,fbd_1312.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1313_q1,Image Description,fbd_1313.png,How many force arrows are shown in this diagram?,1
fbd_1313_q2,Basic Relational Reasoning,fbd_1313.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1313_q3,Comparative Reasoning,fbd_1313.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1313_q4,Compound Reasoning,fbd_1313.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 196.69}"
fbd_1313_q5,Extrapolative/Counterfactual Reasoning,fbd_1313.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1314_q1,Image Description,fbd_1314.png,How many force arrows are shown in this diagram?,2
fbd_1314_q2,Basic Relational Reasoning,fbd_1314.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1314_q3,Comparative Reasoning,fbd_1314.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1314_q4,Compound Reasoning,fbd_1314.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_1314_q5,Extrapolative/Counterfactual Reasoning,fbd_1314.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_1315_q1,Image Description,fbd_1315.png,How many force arrows are shown in this diagram?,4
fbd_1315_q2,Basic Relational Reasoning,fbd_1315.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1315_q3,Comparative Reasoning,fbd_1315.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1315_q4,Compound Reasoning,fbd_1315.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 121.0, 'magnitude': 103.007937}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 156.0, 'magnitude': 103.007937}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1315_q5,Extrapolative/Counterfactual Reasoning,fbd_1315.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1316_q1,Image Description,fbd_1316.png,How many force arrows are shown in this diagram?,2
fbd_1316_q2,Basic Relational Reasoning,fbd_1316.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1316_q3,Comparative Reasoning,fbd_1316.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1316_q4,Compound Reasoning,fbd_1316.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 91.82, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 91.8216}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 128.55024}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1316_q5,Extrapolative/Counterfactual Reasoning,fbd_1316.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1317_q1,Image Description,fbd_1317.png,How many force arrows are shown in this diagram?,4
fbd_1317_q2,Basic Relational Reasoning,fbd_1317.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1317_q3,Comparative Reasoning,fbd_1317.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1317_q4,Compound Reasoning,fbd_1317.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 155.78, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 155.7828}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 155.7828}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1317_q5,Extrapolative/Counterfactual Reasoning,fbd_1317.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1318_q1,Image Description,fbd_1318.png,How many force arrows are shown in this diagram?,4
fbd_1318_q2,Basic Relational Reasoning,fbd_1318.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1318_q3,Comparative Reasoning,fbd_1318.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1318_q4,Compound Reasoning,fbd_1318.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.67, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 290.7}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 406.98}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1318_q5,Extrapolative/Counterfactual Reasoning,fbd_1318.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1319_q1,Image Description,fbd_1319.png,How many force arrows are shown in this diagram?,2
fbd_1319_q2,Basic Relational Reasoning,fbd_1319.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1319_q3,Comparative Reasoning,fbd_1319.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1319_q4,Compound Reasoning,fbd_1319.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 122.13, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 122.1345}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 122.1345}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1319_q5,Extrapolative/Counterfactual Reasoning,fbd_1319.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1320_q1,Image Description,fbd_1320.png,How many force arrows are shown in this diagram?,3
fbd_1320_q2,Basic Relational Reasoning,fbd_1320.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1320_q3,Comparative Reasoning,fbd_1320.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1320_q4,Compound Reasoning,fbd_1320.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 66.0, 'magnitude': 74.742087}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 66.0, 'magnitude': 104.638922}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1320_q5,Extrapolative/Counterfactual Reasoning,fbd_1320.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (246 degrees; 0=right, 90=up)"
fbd_1321_q1,Image Description,fbd_1321.png,How many force arrows are shown in this diagram?,4
fbd_1321_q2,Basic Relational Reasoning,fbd_1321.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1321_q3,Comparative Reasoning,fbd_1321.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1321_q4,Compound Reasoning,fbd_1321.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.56}"
fbd_1321_q5,Extrapolative/Counterfactual Reasoning,fbd_1321.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1322_q1,Image Description,fbd_1322.png,How many force arrows are shown in this diagram?,2
fbd_1322_q2,Basic Relational Reasoning,fbd_1322.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1322_q3,Comparative Reasoning,fbd_1322.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1322_q4,Compound Reasoning,fbd_1322.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 123.31}"
fbd_1322_q5,Extrapolative/Counterfactual Reasoning,fbd_1322.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1323_q1,Image Description,fbd_1323.png,How many force arrows are shown in this diagram?,4
fbd_1323_q2,Basic Relational Reasoning,fbd_1323.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1323_q3,Comparative Reasoning,fbd_1323.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1323_q4,Compound Reasoning,fbd_1323.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 207.48}"
fbd_1323_q5,Extrapolative/Counterfactual Reasoning,fbd_1323.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1324_q1,Image Description,fbd_1324.png,How many force arrows are shown in this diagram?,4
fbd_1324_q2,Basic Relational Reasoning,fbd_1324.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1324_q3,Comparative Reasoning,fbd_1324.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1324_q4,Compound Reasoning,fbd_1324.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 0.0}"
fbd_1324_q5,Extrapolative/Counterfactual Reasoning,fbd_1324.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1325_q1,Image Description,fbd_1325.png,How many force arrows are shown in this diagram?,2
fbd_1325_q2,Basic Relational Reasoning,fbd_1325.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1325_q3,Comparative Reasoning,fbd_1325.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1325_q4,Compound Reasoning,fbd_1325.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 205.72}"
fbd_1325_q5,Extrapolative/Counterfactual Reasoning,fbd_1325.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1326_q1,Image Description,fbd_1326.png,How many force arrows are shown in this diagram?,3
fbd_1326_q2,Basic Relational Reasoning,fbd_1326.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1326_q3,Comparative Reasoning,fbd_1326.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1326_q4,Compound Reasoning,fbd_1326.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29}"
fbd_1326_q5,Extrapolative/Counterfactual Reasoning,fbd_1326.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_1327_q1,Image Description,fbd_1327.png,How many force arrows are shown in this diagram?,4
fbd_1327_q2,Basic Relational Reasoning,fbd_1327.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1327_q3,Comparative Reasoning,fbd_1327.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1327_q4,Compound Reasoning,fbd_1327.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 28.57, 'required_friction_coefficient': 0.53}"
fbd_1327_q5,Extrapolative/Counterfactual Reasoning,fbd_1327.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1328_q1,Image Description,fbd_1328.png,How many force arrows are shown in this diagram?,2
fbd_1328_q2,Basic Relational Reasoning,fbd_1328.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1328_q3,Comparative Reasoning,fbd_1328.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1328_q4,Compound Reasoning,fbd_1328.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 17.59, 'tension_magnitude': 63.44}"
fbd_1328_q5,Extrapolative/Counterfactual Reasoning,fbd_1328.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1329_q1,Image Description,fbd_1329.png,How many force arrows are shown in this diagram?,4
fbd_1329_q2,Basic Relational Reasoning,fbd_1329.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1329_q3,Comparative Reasoning,fbd_1329.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1329_q4,Compound Reasoning,fbd_1329.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 17.15, 'tension_magnitude': 139.09}"
fbd_1329_q5,Extrapolative/Counterfactual Reasoning,fbd_1329.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1330_q1,Image Description,fbd_1330.png,How many force arrows are shown in this diagram?,4
fbd_1330_q2,Basic Relational Reasoning,fbd_1330.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1330_q3,Comparative Reasoning,fbd_1330.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1330_q4,Compound Reasoning,fbd_1330.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 61.76}"
fbd_1330_q5,Extrapolative/Counterfactual Reasoning,fbd_1330.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (339.3 degrees; 0=right, 90=up)"
fbd_1331_q1,Image Description,fbd_1331.png,How many force arrows are shown in this diagram?,2
fbd_1331_q2,Basic Relational Reasoning,fbd_1331.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1331_q3,Comparative Reasoning,fbd_1331.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1331_q4,Compound Reasoning,fbd_1331.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 40.05, 'support_force_magnitude': 189.46}"
fbd_1331_q5,Extrapolative/Counterfactual Reasoning,fbd_1331.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1332_q1,Image Description,fbd_1332.png,How many force arrows are shown in this diagram?,3
fbd_1332_q2,Basic Relational Reasoning,fbd_1332.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1332_q3,Comparative Reasoning,fbd_1332.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1332_q4,Compound Reasoning,fbd_1332.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 12.52, 'required_friction_coefficient': 0.2}"
fbd_1332_q5,Extrapolative/Counterfactual Reasoning,fbd_1332.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (258.7 degrees; 0=right, 90=up)"
fbd_1333_q1,Image Description,fbd_1333.png,How many force arrows are shown in this diagram?,3
fbd_1333_q2,Basic Relational Reasoning,fbd_1333.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1333_q3,Comparative Reasoning,fbd_1333.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1333_q4,Compound Reasoning,fbd_1333.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.64}"
fbd_1333_q5,Extrapolative/Counterfactual Reasoning,fbd_1333.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1334_q1,Image Description,fbd_1334.png,How many force arrows are shown in this diagram?,1
fbd_1334_q2,Basic Relational Reasoning,fbd_1334.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1334_q3,Comparative Reasoning,fbd_1334.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1334_q4,Compound Reasoning,fbd_1334.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 163.34}"
fbd_1334_q5,Extrapolative/Counterfactual Reasoning,fbd_1334.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1335_q1,Image Description,fbd_1335.png,How many force arrows are shown in this diagram?,3
fbd_1335_q2,Basic Relational Reasoning,fbd_1335.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1335_q3,Comparative Reasoning,fbd_1335.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1335_q4,Compound Reasoning,fbd_1335.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 174.23}"
fbd_1335_q5,Extrapolative/Counterfactual Reasoning,fbd_1335.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1336_q1,Image Description,fbd_1336.png,How many force arrows are shown in this diagram?,3
fbd_1336_q2,Basic Relational Reasoning,fbd_1336.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1336_q3,Comparative Reasoning,fbd_1336.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1336_q4,Compound Reasoning,fbd_1336.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 0.0}"
fbd_1336_q5,Extrapolative/Counterfactual Reasoning,fbd_1336.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1337_q1,Image Description,fbd_1337.png,How many force arrows are shown in this diagram?,1
fbd_1337_q2,Basic Relational Reasoning,fbd_1337.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1337_q3,Comparative Reasoning,fbd_1337.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1337_q4,Compound Reasoning,fbd_1337.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 155.78}"
fbd_1337_q5,Extrapolative/Counterfactual Reasoning,fbd_1337.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1338_q1,Image Description,fbd_1338.png,How many force arrows are shown in this diagram?,2
fbd_1338_q2,Basic Relational Reasoning,fbd_1338.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1338_q3,Comparative Reasoning,fbd_1338.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1338_q4,Compound Reasoning,fbd_1338.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_1338_q5,Extrapolative/Counterfactual Reasoning,fbd_1338.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_1339_q1,Image Description,fbd_1339.png,How many force arrows are shown in this diagram?,4
fbd_1339_q2,Basic Relational Reasoning,fbd_1339.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1339_q3,Comparative Reasoning,fbd_1339.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1339_q4,Compound Reasoning,fbd_1339.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 119.0, 'magnitude': 137.62351}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 154.0, 'magnitude': 137.62351}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1339_q5,Extrapolative/Counterfactual Reasoning,fbd_1339.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1340_q1,Image Description,fbd_1340.png,How many force arrows are shown in this diagram?,2
fbd_1340_q2,Basic Relational Reasoning,fbd_1340.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1340_q3,Comparative Reasoning,fbd_1340.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1340_q4,Compound Reasoning,fbd_1340.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 114.19, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 114.1884}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 159.86376}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1340_q5,Extrapolative/Counterfactual Reasoning,fbd_1340.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1341_q1,Image Description,fbd_1341.png,How many force arrows are shown in this diagram?,4
fbd_1341_q2,Basic Relational Reasoning,fbd_1341.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1341_q3,Comparative Reasoning,fbd_1341.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1341_q4,Compound Reasoning,fbd_1341.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 129.98, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 129.9825}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 129.9825}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1341_q5,Extrapolative/Counterfactual Reasoning,fbd_1341.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1342_q1,Image Description,fbd_1342.png,How many force arrows are shown in this diagram?,4
fbd_1342_q2,Basic Relational Reasoning,fbd_1342.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1342_q3,Comparative Reasoning,fbd_1342.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1342_q4,Compound Reasoning,fbd_1342.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 352.51}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 493.514}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1342_q5,Extrapolative/Counterfactual Reasoning,fbd_1342.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1343_q1,Image Description,fbd_1343.png,How many force arrows are shown in this diagram?,2
fbd_1343_q2,Basic Relational Reasoning,fbd_1343.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1343_q3,Comparative Reasoning,fbd_1343.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1343_q4,Compound Reasoning,fbd_1343.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 111.34, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 111.3435}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 111.3435}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1343_q5,Extrapolative/Counterfactual Reasoning,fbd_1343.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1344_q1,Image Description,fbd_1344.png,How many force arrows are shown in this diagram?,3
fbd_1344_q2,Basic Relational Reasoning,fbd_1344.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1344_q3,Comparative Reasoning,fbd_1344.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1344_q4,Compound Reasoning,fbd_1344.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 68.0, 'magnitude': 115.242185}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 68.0, 'magnitude': 161.339059}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1344_q5,Extrapolative/Counterfactual Reasoning,fbd_1344.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_1345_q1,Image Description,fbd_1345.png,How many force arrows are shown in this diagram?,4
fbd_1345_q2,Basic Relational Reasoning,fbd_1345.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1345_q3,Comparative Reasoning,fbd_1345.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1345_q4,Compound Reasoning,fbd_1345.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.61}"
fbd_1345_q5,Extrapolative/Counterfactual Reasoning,fbd_1345.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1346_q1,Image Description,fbd_1346.png,How many force arrows are shown in this diagram?,2
fbd_1346_q2,Basic Relational Reasoning,fbd_1346.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1346_q3,Comparative Reasoning,fbd_1346.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1346_q4,Compound Reasoning,fbd_1346.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 105.85}"
fbd_1346_q5,Extrapolative/Counterfactual Reasoning,fbd_1346.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1347_q1,Image Description,fbd_1347.png,How many force arrows are shown in this diagram?,4
fbd_1347_q2,Basic Relational Reasoning,fbd_1347.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1347_q3,Comparative Reasoning,fbd_1347.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1347_q4,Compound Reasoning,fbd_1347.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 211.8}"
fbd_1347_q5,Extrapolative/Counterfactual Reasoning,fbd_1347.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1348_q1,Image Description,fbd_1348.png,How many force arrows are shown in this diagram?,4
fbd_1348_q2,Basic Relational Reasoning,fbd_1348.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1348_q3,Comparative Reasoning,fbd_1348.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1348_q4,Compound Reasoning,fbd_1348.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 0.0}"
fbd_1348_q5,Extrapolative/Counterfactual Reasoning,fbd_1348.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1349_q1,Image Description,fbd_1349.png,How many force arrows are shown in this diagram?,2
fbd_1349_q2,Basic Relational Reasoning,fbd_1349.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1349_q3,Comparative Reasoning,fbd_1349.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1349_q4,Compound Reasoning,fbd_1349.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 59.74}"
fbd_1349_q5,Extrapolative/Counterfactual Reasoning,fbd_1349.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1350_q1,Image Description,fbd_1350.png,How many force arrows are shown in this diagram?,3
fbd_1350_q2,Basic Relational Reasoning,fbd_1350.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1350_q3,Comparative Reasoning,fbd_1350.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1350_q4,Compound Reasoning,fbd_1350.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29}"
fbd_1350_q5,Extrapolative/Counterfactual Reasoning,fbd_1350.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_1351_q1,Image Description,fbd_1351.png,How many force arrows are shown in this diagram?,4
fbd_1351_q2,Basic Relational Reasoning,fbd_1351.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1351_q3,Comparative Reasoning,fbd_1351.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1351_q4,Compound Reasoning,fbd_1351.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 16.88, 'required_friction_coefficient': 0.4}"
fbd_1351_q5,Extrapolative/Counterfactual Reasoning,fbd_1351.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1352_q1,Image Description,fbd_1352.png,How many force arrows are shown in this diagram?,2
fbd_1352_q2,Basic Relational Reasoning,fbd_1352.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1352_q3,Comparative Reasoning,fbd_1352.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1352_q4,Compound Reasoning,fbd_1352.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 31.77, 'tension_magnitude': 73.88}"
fbd_1352_q5,Extrapolative/Counterfactual Reasoning,fbd_1352.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1353_q1,Image Description,fbd_1353.png,How many force arrows are shown in this diagram?,4
fbd_1353_q2,Basic Relational Reasoning,fbd_1353.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1353_q3,Comparative Reasoning,fbd_1353.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1353_q4,Compound Reasoning,fbd_1353.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 25.53, 'tension_magnitude': 116.37}"
fbd_1353_q5,Extrapolative/Counterfactual Reasoning,fbd_1353.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1354_q1,Image Description,fbd_1354.png,How many force arrows are shown in this diagram?,4
fbd_1354_q2,Basic Relational Reasoning,fbd_1354.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1354_q3,Comparative Reasoning,fbd_1354.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1354_q4,Compound Reasoning,fbd_1354.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 59.27}"
fbd_1354_q5,Extrapolative/Counterfactual Reasoning,fbd_1354.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (343.7 degrees; 0=right, 90=up)"
fbd_1355_q1,Image Description,fbd_1355.png,How many force arrows are shown in this diagram?,2
fbd_1355_q2,Basic Relational Reasoning,fbd_1355.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1355_q3,Comparative Reasoning,fbd_1355.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1355_q4,Compound Reasoning,fbd_1355.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 24.22, 'support_force_magnitude': 140.78}"
fbd_1355_q5,Extrapolative/Counterfactual Reasoning,fbd_1355.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1356_q1,Image Description,fbd_1356.png,How many force arrows are shown in this diagram?,3
fbd_1356_q2,Basic Relational Reasoning,fbd_1356.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1356_q3,Comparative Reasoning,fbd_1356.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1356_q4,Compound Reasoning,fbd_1356.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 22.88, 'required_friction_coefficient': 0.23}"
fbd_1356_q5,Extrapolative/Counterfactual Reasoning,fbd_1356.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (257.1 degrees; 0=right, 90=up)"
fbd_1357_q1,Image Description,fbd_1357.png,How many force arrows are shown in this diagram?,3
fbd_1357_q2,Basic Relational Reasoning,fbd_1357.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1357_q3,Comparative Reasoning,fbd_1357.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1357_q4,Compound Reasoning,fbd_1357.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53}"
fbd_1357_q5,Extrapolative/Counterfactual Reasoning,fbd_1357.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1358_q1,Image Description,fbd_1358.png,How many force arrows are shown in this diagram?,1
fbd_1358_q2,Basic Relational Reasoning,fbd_1358.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1358_q3,Comparative Reasoning,fbd_1358.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1358_q4,Compound Reasoning,fbd_1358.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 60.92}"
fbd_1358_q5,Extrapolative/Counterfactual Reasoning,fbd_1358.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1359_q1,Image Description,fbd_1359.png,How many force arrows are shown in this diagram?,3
fbd_1359_q2,Basic Relational Reasoning,fbd_1359.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1359_q3,Comparative Reasoning,fbd_1359.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1359_q4,Compound Reasoning,fbd_1359.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 207.48}"
fbd_1359_q5,Extrapolative/Counterfactual Reasoning,fbd_1359.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1360_q1,Image Description,fbd_1360.png,How many force arrows are shown in this diagram?,3
fbd_1360_q2,Basic Relational Reasoning,fbd_1360.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1360_q3,Comparative Reasoning,fbd_1360.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1360_q4,Compound Reasoning,fbd_1360.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0}"
fbd_1360_q5,Extrapolative/Counterfactual Reasoning,fbd_1360.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1361_q1,Image Description,fbd_1361.png,How many force arrows are shown in this diagram?,1
fbd_1361_q2,Basic Relational Reasoning,fbd_1361.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1361_q3,Comparative Reasoning,fbd_1361.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1361_q4,Compound Reasoning,fbd_1361.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 76.91}"
fbd_1361_q5,Extrapolative/Counterfactual Reasoning,fbd_1361.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1362_q1,Image Description,fbd_1362.png,How many force arrows are shown in this diagram?,2
fbd_1362_q2,Basic Relational Reasoning,fbd_1362.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1362_q3,Comparative Reasoning,fbd_1362.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1362_q4,Compound Reasoning,fbd_1362.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_1362_q5,Extrapolative/Counterfactual Reasoning,fbd_1362.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_1363_q1,Image Description,fbd_1363.png,How many force arrows are shown in this diagram?,4
fbd_1363_q2,Basic Relational Reasoning,fbd_1363.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1363_q3,Comparative Reasoning,fbd_1363.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1363_q4,Compound Reasoning,fbd_1363.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.43, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 116.0, 'magnitude': 80.58893}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 151.0, 'magnitude': 80.58893}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1363_q5,Extrapolative/Counterfactual Reasoning,fbd_1363.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1364_q1,Image Description,fbd_1364.png,How many force arrows are shown in this diagram?,2
fbd_1364_q2,Basic Relational Reasoning,fbd_1364.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1364_q3,Comparative Reasoning,fbd_1364.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1364_q4,Compound Reasoning,fbd_1364.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 176.68, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 176.6781}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 247.34934}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1364_q5,Extrapolative/Counterfactual Reasoning,fbd_1364.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1365_q1,Image Description,fbd_1365.png,How many force arrows are shown in this diagram?,4
fbd_1365_q2,Basic Relational Reasoning,fbd_1365.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1365_q3,Comparative Reasoning,fbd_1365.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1365_q4,Compound Reasoning,fbd_1365.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 206.7, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 206.6967}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 206.6967}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1365_q5,Extrapolative/Counterfactual Reasoning,fbd_1365.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1366_q1,Image Description,fbd_1366.png,How many force arrows are shown in this diagram?,4
fbd_1366_q2,Basic Relational Reasoning,fbd_1366.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1366_q3,Comparative Reasoning,fbd_1366.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1366_q4,Compound Reasoning,fbd_1366.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 229.79}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 321.706}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1366_q5,Extrapolative/Counterfactual Reasoning,fbd_1366.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1367_q1,Image Description,fbd_1367.png,How many force arrows are shown in this diagram?,2
fbd_1367_q2,Basic Relational Reasoning,fbd_1367.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1367_q3,Comparative Reasoning,fbd_1367.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1367_q4,Compound Reasoning,fbd_1367.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 123.41, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 123.4098}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 123.4098}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1367_q5,Extrapolative/Counterfactual Reasoning,fbd_1367.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1368_q1,Image Description,fbd_1368.png,How many force arrows are shown in this diagram?,3
fbd_1368_q2,Basic Relational Reasoning,fbd_1368.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1368_q3,Comparative Reasoning,fbd_1368.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1368_q4,Compound Reasoning,fbd_1368.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 65.0, 'magnitude': 84.285537}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 65.0, 'magnitude': 117.999752}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1368_q5,Extrapolative/Counterfactual Reasoning,fbd_1368.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_1369_q1,Image Description,fbd_1369.png,How many force arrows are shown in this diagram?,4
fbd_1369_q2,Basic Relational Reasoning,fbd_1369.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1369_q3,Comparative Reasoning,fbd_1369.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1369_q4,Compound Reasoning,fbd_1369.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.46}"
fbd_1369_q5,Extrapolative/Counterfactual Reasoning,fbd_1369.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1370_q1,Image Description,fbd_1370.png,How many force arrows are shown in this diagram?,2
fbd_1370_q2,Basic Relational Reasoning,fbd_1370.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1370_q3,Comparative Reasoning,fbd_1370.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1370_q4,Compound Reasoning,fbd_1370.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 160.0}"
fbd_1370_q5,Extrapolative/Counterfactual Reasoning,fbd_1370.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1371_q1,Image Description,fbd_1371.png,How many force arrows are shown in this diagram?,4
fbd_1371_q2,Basic Relational Reasoning,fbd_1371.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1371_q3,Comparative Reasoning,fbd_1371.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1371_q4,Compound Reasoning,fbd_1371.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 163.83}"
fbd_1371_q5,Extrapolative/Counterfactual Reasoning,fbd_1371.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1372_q1,Image Description,fbd_1372.png,How many force arrows are shown in this diagram?,4
fbd_1372_q2,Basic Relational Reasoning,fbd_1372.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1372_q3,Comparative Reasoning,fbd_1372.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1372_q4,Compound Reasoning,fbd_1372.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 0.0}"
fbd_1372_q5,Extrapolative/Counterfactual Reasoning,fbd_1372.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1373_q1,Image Description,fbd_1373.png,How many force arrows are shown in this diagram?,2
fbd_1373_q2,Basic Relational Reasoning,fbd_1373.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1373_q3,Comparative Reasoning,fbd_1373.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1373_q4,Compound Reasoning,fbd_1373.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 65.14}"
fbd_1373_q5,Extrapolative/Counterfactual Reasoning,fbd_1373.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1374_q1,Image Description,fbd_1374.png,How many force arrows are shown in this diagram?,3
fbd_1374_q2,Basic Relational Reasoning,fbd_1374.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1374_q3,Comparative Reasoning,fbd_1374.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1374_q4,Compound Reasoning,fbd_1374.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_1374_q5,Extrapolative/Counterfactual Reasoning,fbd_1374.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_1375_q1,Image Description,fbd_1375.png,How many force arrows are shown in this diagram?,4
fbd_1375_q2,Basic Relational Reasoning,fbd_1375.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1375_q3,Comparative Reasoning,fbd_1375.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1375_q4,Compound Reasoning,fbd_1375.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 16.73, 'required_friction_coefficient': 0.4}"
fbd_1375_q5,Extrapolative/Counterfactual Reasoning,fbd_1375.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1376_q1,Image Description,fbd_1376.png,How many force arrows are shown in this diagram?,2
fbd_1376_q2,Basic Relational Reasoning,fbd_1376.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1376_q3,Comparative Reasoning,fbd_1376.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1376_q4,Compound Reasoning,fbd_1376.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 21.58, 'tension_magnitude': 110.75}"
fbd_1376_q5,Extrapolative/Counterfactual Reasoning,fbd_1376.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1377_q1,Image Description,fbd_1377.png,How many force arrows are shown in this diagram?,4
fbd_1377_q2,Basic Relational Reasoning,fbd_1377.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1377_q3,Comparative Reasoning,fbd_1377.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1377_q4,Compound Reasoning,fbd_1377.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 12.51, 'tension_magnitude': 94.52}"
fbd_1377_q5,Extrapolative/Counterfactual Reasoning,fbd_1377.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1378_q1,Image Description,fbd_1378.png,How many force arrows are shown in this diagram?,4
fbd_1378_q2,Basic Relational Reasoning,fbd_1378.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1378_q3,Comparative Reasoning,fbd_1378.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1378_q4,Compound Reasoning,fbd_1378.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 34.7}"
fbd_1378_q5,Extrapolative/Counterfactual Reasoning,fbd_1378.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (338.4 degrees; 0=right, 90=up)"
fbd_1379_q1,Image Description,fbd_1379.png,How many force arrows are shown in this diagram?,2
fbd_1379_q2,Basic Relational Reasoning,fbd_1379.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1379_q3,Comparative Reasoning,fbd_1379.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1379_q4,Compound Reasoning,fbd_1379.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 52.24, 'support_force_magnitude': 223.62}"
fbd_1379_q5,Extrapolative/Counterfactual Reasoning,fbd_1379.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1380_q1,Image Description,fbd_1380.png,How many force arrows are shown in this diagram?,3
fbd_1380_q2,Basic Relational Reasoning,fbd_1380.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1380_q3,Comparative Reasoning,fbd_1380.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1380_q4,Compound Reasoning,fbd_1380.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 47.34, 'required_friction_coefficient': 0.15}"
fbd_1380_q5,Extrapolative/Counterfactual Reasoning,fbd_1380.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (261.3 degrees; 0=right, 90=up)"
fbd_1381_q1,Image Description,fbd_1381.png,How many force arrows are shown in this diagram?,3
fbd_1381_q2,Basic Relational Reasoning,fbd_1381.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1381_q3,Comparative Reasoning,fbd_1381.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1381_q4,Compound Reasoning,fbd_1381.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.6}"
fbd_1381_q5,Extrapolative/Counterfactual Reasoning,fbd_1381.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1382_q1,Image Description,fbd_1382.png,How many force arrows are shown in this diagram?,1
fbd_1382_q2,Basic Relational Reasoning,fbd_1382.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1382_q3,Comparative Reasoning,fbd_1382.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1382_q4,Compound Reasoning,fbd_1382.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 163.83}"
fbd_1382_q5,Extrapolative/Counterfactual Reasoning,fbd_1382.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1383_q1,Image Description,fbd_1383.png,How many force arrows are shown in this diagram?,3
fbd_1383_q2,Basic Relational Reasoning,fbd_1383.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1383_q3,Comparative Reasoning,fbd_1383.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1383_q4,Compound Reasoning,fbd_1383.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 77.3}"
fbd_1383_q5,Extrapolative/Counterfactual Reasoning,fbd_1383.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1384_q1,Image Description,fbd_1384.png,How many force arrows are shown in this diagram?,3
fbd_1384_q2,Basic Relational Reasoning,fbd_1384.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1384_q3,Comparative Reasoning,fbd_1384.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1384_q4,Compound Reasoning,fbd_1384.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 0.0}"
fbd_1384_q5,Extrapolative/Counterfactual Reasoning,fbd_1384.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1385_q1,Image Description,fbd_1385.png,How many force arrows are shown in this diagram?,1
fbd_1385_q2,Basic Relational Reasoning,fbd_1385.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1385_q3,Comparative Reasoning,fbd_1385.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1385_q4,Compound Reasoning,fbd_1385.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 82.89}"
fbd_1385_q5,Extrapolative/Counterfactual Reasoning,fbd_1385.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1386_q1,Image Description,fbd_1386.png,How many force arrows are shown in this diagram?,2
fbd_1386_q2,Basic Relational Reasoning,fbd_1386.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1386_q3,Comparative Reasoning,fbd_1386.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1386_q4,Compound Reasoning,fbd_1386.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.32}"
fbd_1386_q5,Extrapolative/Counterfactual Reasoning,fbd_1386.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_1387_q1,Image Description,fbd_1387.png,How many force arrows are shown in this diagram?,4
fbd_1387_q2,Basic Relational Reasoning,fbd_1387.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1387_q3,Comparative Reasoning,fbd_1387.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1387_q4,Compound Reasoning,fbd_1387.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.61, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 125.0, 'magnitude': 156.458614}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 160.0, 'magnitude': 156.458614}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1387_q5,Extrapolative/Counterfactual Reasoning,fbd_1387.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1388_q1,Image Description,fbd_1388.png,How many force arrows are shown in this diagram?,2
fbd_1388_q2,Basic Relational Reasoning,fbd_1388.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1388_q3,Comparative Reasoning,fbd_1388.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1388_q4,Compound Reasoning,fbd_1388.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 151.27, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 151.2702}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 211.77828}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1388_q5,Extrapolative/Counterfactual Reasoning,fbd_1388.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1389_q1,Image Description,fbd_1389.png,How many force arrows are shown in this diagram?,4
fbd_1389_q2,Basic Relational Reasoning,fbd_1389.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1389_q3,Comparative Reasoning,fbd_1389.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1389_q4,Compound Reasoning,fbd_1389.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 66.51, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 66.5118}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 66.5118}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1389_q5,Extrapolative/Counterfactual Reasoning,fbd_1389.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1390_q1,Image Description,fbd_1390.png,How many force arrows are shown in this diagram?,4
fbd_1390_q2,Basic Relational Reasoning,fbd_1390.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1390_q3,Comparative Reasoning,fbd_1390.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1390_q4,Compound Reasoning,fbd_1390.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 101.84}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 142.576}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1390_q5,Extrapolative/Counterfactual Reasoning,fbd_1390.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1391_q1,Image Description,fbd_1391.png,How many force arrows are shown in this diagram?,2
fbd_1391_q2,Basic Relational Reasoning,fbd_1391.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1391_q3,Comparative Reasoning,fbd_1391.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1391_q4,Compound Reasoning,fbd_1391.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 80.25, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 80.2458}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 80.2458}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1391_q5,Extrapolative/Counterfactual Reasoning,fbd_1391.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1392_q1,Image Description,fbd_1392.png,How many force arrows are shown in this diagram?,3
fbd_1392_q2,Basic Relational Reasoning,fbd_1392.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1392_q3,Comparative Reasoning,fbd_1392.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1392_q4,Compound Reasoning,fbd_1392.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 61.0, 'magnitude': 87.344597}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 61.0, 'magnitude': 122.282436}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1392_q5,Extrapolative/Counterfactual Reasoning,fbd_1392.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (241 degrees; 0=right, 90=up)"
fbd_1393_q1,Image Description,fbd_1393.png,How many force arrows are shown in this diagram?,4
fbd_1393_q2,Basic Relational Reasoning,fbd_1393.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1393_q3,Comparative Reasoning,fbd_1393.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1393_q4,Compound Reasoning,fbd_1393.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_1393_q5,Extrapolative/Counterfactual Reasoning,fbd_1393.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1394_q1,Image Description,fbd_1394.png,How many force arrows are shown in this diagram?,2
fbd_1394_q2,Basic Relational Reasoning,fbd_1394.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1394_q3,Comparative Reasoning,fbd_1394.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1394_q4,Compound Reasoning,fbd_1394.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 121.15}"
fbd_1394_q5,Extrapolative/Counterfactual Reasoning,fbd_1394.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1395_q1,Image Description,fbd_1395.png,How many force arrows are shown in this diagram?,4
fbd_1395_q2,Basic Relational Reasoning,fbd_1395.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1395_q3,Comparative Reasoning,fbd_1395.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1395_q4,Compound Reasoning,fbd_1395.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 162.65}"
fbd_1395_q5,Extrapolative/Counterfactual Reasoning,fbd_1395.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1396_q1,Image Description,fbd_1396.png,How many force arrows are shown in this diagram?,4
fbd_1396_q2,Basic Relational Reasoning,fbd_1396.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1396_q3,Comparative Reasoning,fbd_1396.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1396_q4,Compound Reasoning,fbd_1396.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0}"
fbd_1396_q5,Extrapolative/Counterfactual Reasoning,fbd_1396.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1397_q1,Image Description,fbd_1397.png,How many force arrows are shown in this diagram?,2
fbd_1397_q2,Basic Relational Reasoning,fbd_1397.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1397_q3,Comparative Reasoning,fbd_1397.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1397_q4,Compound Reasoning,fbd_1397.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 70.34}"
fbd_1397_q5,Extrapolative/Counterfactual Reasoning,fbd_1397.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1398_q1,Image Description,fbd_1398.png,How many force arrows are shown in this diagram?,3
fbd_1398_q2,Basic Relational Reasoning,fbd_1398.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1398_q3,Comparative Reasoning,fbd_1398.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1398_q4,Compound Reasoning,fbd_1398.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53}"
fbd_1398_q5,Extrapolative/Counterfactual Reasoning,fbd_1398.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (242 degrees; 0=right, 90=up)"
fbd_1399_q1,Image Description,fbd_1399.png,How many force arrows are shown in this diagram?,4
fbd_1399_q2,Basic Relational Reasoning,fbd_1399.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1399_q3,Comparative Reasoning,fbd_1399.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1399_q4,Compound Reasoning,fbd_1399.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 32.17, 'required_friction_coefficient': 0.45}"
fbd_1399_q5,Extrapolative/Counterfactual Reasoning,fbd_1399.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1400_q1,Image Description,fbd_1400.png,How many force arrows are shown in this diagram?,2
fbd_1400_q2,Basic Relational Reasoning,fbd_1400.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1400_q3,Comparative Reasoning,fbd_1400.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1400_q4,Compound Reasoning,fbd_1400.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 19.2, 'tension_magnitude': 65.65}"
fbd_1400_q5,Extrapolative/Counterfactual Reasoning,fbd_1400.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1401_q1,Image Description,fbd_1401.png,How many force arrows are shown in this diagram?,4
fbd_1401_q2,Basic Relational Reasoning,fbd_1401.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1401_q3,Comparative Reasoning,fbd_1401.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1401_q4,Compound Reasoning,fbd_1401.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 25.49, 'tension_magnitude': 199.22}"
fbd_1401_q5,Extrapolative/Counterfactual Reasoning,fbd_1401.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1402_q1,Image Description,fbd_1402.png,How many force arrows are shown in this diagram?,4
fbd_1402_q2,Basic Relational Reasoning,fbd_1402.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1402_q3,Comparative Reasoning,fbd_1402.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1402_q4,Compound Reasoning,fbd_1402.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.73, 'net_force_N': 107.39}"
fbd_1402_q5,Extrapolative/Counterfactual Reasoning,fbd_1402.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (333.2 degrees; 0=right, 90=up)"
fbd_1403_q1,Image Description,fbd_1403.png,How many force arrows are shown in this diagram?,2
fbd_1403_q2,Basic Relational Reasoning,fbd_1403.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1403_q3,Comparative Reasoning,fbd_1403.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1403_q4,Compound Reasoning,fbd_1403.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 24.18, 'support_force_magnitude': 84.62}"
fbd_1403_q5,Extrapolative/Counterfactual Reasoning,fbd_1403.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1404_q1,Image Description,fbd_1404.png,How many force arrows are shown in this diagram?,3
fbd_1404_q2,Basic Relational Reasoning,fbd_1404.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1404_q3,Comparative Reasoning,fbd_1404.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1404_q4,Compound Reasoning,fbd_1404.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 40.9, 'required_friction_coefficient': 0.09}"
fbd_1404_q5,Extrapolative/Counterfactual Reasoning,fbd_1404.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (264.7 degrees; 0=right, 90=up)"
fbd_1405_q1,Image Description,fbd_1405.png,How many force arrows are shown in this diagram?,3
fbd_1405_q2,Basic Relational Reasoning,fbd_1405.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1405_q3,Comparative Reasoning,fbd_1405.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1405_q4,Compound Reasoning,fbd_1405.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.46}"
fbd_1405_q5,Extrapolative/Counterfactual Reasoning,fbd_1405.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1406_q1,Image Description,fbd_1406.png,How many force arrows are shown in this diagram?,1
fbd_1406_q2,Basic Relational Reasoning,fbd_1406.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1406_q3,Comparative Reasoning,fbd_1406.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1406_q4,Compound Reasoning,fbd_1406.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 205.03}"
fbd_1406_q5,Extrapolative/Counterfactual Reasoning,fbd_1406.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1407_q1,Image Description,fbd_1407.png,How many force arrows are shown in this diagram?,3
fbd_1407_q2,Basic Relational Reasoning,fbd_1407.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1407_q3,Comparative Reasoning,fbd_1407.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1407_q4,Compound Reasoning,fbd_1407.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 72.89}"
fbd_1407_q5,Extrapolative/Counterfactual Reasoning,fbd_1407.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1408_q1,Image Description,fbd_1408.png,How many force arrows are shown in this diagram?,3
fbd_1408_q2,Basic Relational Reasoning,fbd_1408.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1408_q3,Comparative Reasoning,fbd_1408.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1408_q4,Compound Reasoning,fbd_1408.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 0.0}"
fbd_1408_q5,Extrapolative/Counterfactual Reasoning,fbd_1408.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1409_q1,Image Description,fbd_1409.png,How many force arrows are shown in this diagram?,1
fbd_1409_q2,Basic Relational Reasoning,fbd_1409.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1409_q3,Comparative Reasoning,fbd_1409.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1409_q4,Compound Reasoning,fbd_1409.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 64.55}"
fbd_1409_q5,Extrapolative/Counterfactual Reasoning,fbd_1409.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1410_q1,Image Description,fbd_1410.png,How many force arrows are shown in this diagram?,2
fbd_1410_q2,Basic Relational Reasoning,fbd_1410.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1410_q3,Comparative Reasoning,fbd_1410.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1410_q4,Compound Reasoning,fbd_1410.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38}"
fbd_1410_q5,Extrapolative/Counterfactual Reasoning,fbd_1410.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_1411_q1,Image Description,fbd_1411.png,How many force arrows are shown in this diagram?,4
fbd_1411_q2,Basic Relational Reasoning,fbd_1411.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1411_q3,Comparative Reasoning,fbd_1411.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1411_q4,Compound Reasoning,fbd_1411.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.64, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 125.0, 'magnitude': 146.494121}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 160.0, 'magnitude': 146.494121}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1411_q5,Extrapolative/Counterfactual Reasoning,fbd_1411.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1412_q1,Image Description,fbd_1412.png,How many force arrows are shown in this diagram?,2
fbd_1412_q2,Basic Relational Reasoning,fbd_1412.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1412_q3,Comparative Reasoning,fbd_1412.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1412_q4,Compound Reasoning,fbd_1412.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 188.35, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 188.352}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 263.6928}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1412_q5,Extrapolative/Counterfactual Reasoning,fbd_1412.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1413_q1,Image Description,fbd_1413.png,How many force arrows are shown in this diagram?,4
fbd_1413_q2,Basic Relational Reasoning,fbd_1413.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1413_q3,Comparative Reasoning,fbd_1413.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1413_q4,Compound Reasoning,fbd_1413.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 130.67, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 130.6692}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 130.6692}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1413_q5,Extrapolative/Counterfactual Reasoning,fbd_1413.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1414_q1,Image Description,fbd_1414.png,How many force arrows are shown in this diagram?,4
fbd_1414_q2,Basic Relational Reasoning,fbd_1414.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1414_q3,Comparative Reasoning,fbd_1414.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1414_q4,Compound Reasoning,fbd_1414.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 328.78}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 460.292}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1414_q5,Extrapolative/Counterfactual Reasoning,fbd_1414.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1415_q1,Image Description,fbd_1415.png,How many force arrows are shown in this diagram?,2
fbd_1415_q2,Basic Relational Reasoning,fbd_1415.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1415_q3,Comparative Reasoning,fbd_1415.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1415_q4,Compound Reasoning,fbd_1415.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 192.47, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 192.4722}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 192.4722}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1415_q5,Extrapolative/Counterfactual Reasoning,fbd_1415.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1416_q1,Image Description,fbd_1416.png,How many force arrows are shown in this diagram?,3
fbd_1416_q2,Basic Relational Reasoning,fbd_1416.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1416_q3,Comparative Reasoning,fbd_1416.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1416_q4,Compound Reasoning,fbd_1416.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 63.0, 'magnitude': 65.643213}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 63.0, 'magnitude': 91.900498}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1416_q5,Extrapolative/Counterfactual Reasoning,fbd_1416.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_1417_q1,Image Description,fbd_1417.png,How many force arrows are shown in this diagram?,4
fbd_1417_q2,Basic Relational Reasoning,fbd_1417.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1417_q3,Comparative Reasoning,fbd_1417.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1417_q4,Compound Reasoning,fbd_1417.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.6}"
fbd_1417_q5,Extrapolative/Counterfactual Reasoning,fbd_1417.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1418_q1,Image Description,fbd_1418.png,How many force arrows are shown in this diagram?,2
fbd_1418_q2,Basic Relational Reasoning,fbd_1418.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1418_q3,Comparative Reasoning,fbd_1418.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1418_q4,Compound Reasoning,fbd_1418.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 181.29}"
fbd_1418_q5,Extrapolative/Counterfactual Reasoning,fbd_1418.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1419_q1,Image Description,fbd_1419.png,How many force arrows are shown in this diagram?,4
fbd_1419_q2,Basic Relational Reasoning,fbd_1419.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1419_q3,Comparative Reasoning,fbd_1419.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1419_q4,Compound Reasoning,fbd_1419.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 148.62}"
fbd_1419_q5,Extrapolative/Counterfactual Reasoning,fbd_1419.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1420_q1,Image Description,fbd_1420.png,How many force arrows are shown in this diagram?,4
fbd_1420_q2,Basic Relational Reasoning,fbd_1420.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1420_q3,Comparative Reasoning,fbd_1420.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1420_q4,Compound Reasoning,fbd_1420.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 0.0}"
fbd_1420_q5,Extrapolative/Counterfactual Reasoning,fbd_1420.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1421_q1,Image Description,fbd_1421.png,How many force arrows are shown in this diagram?,2
fbd_1421_q2,Basic Relational Reasoning,fbd_1421.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1421_q3,Comparative Reasoning,fbd_1421.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1421_q4,Compound Reasoning,fbd_1421.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 68.18}"
fbd_1421_q5,Extrapolative/Counterfactual Reasoning,fbd_1421.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1422_q1,Image Description,fbd_1422.png,How many force arrows are shown in this diagram?,3
fbd_1422_q2,Basic Relational Reasoning,fbd_1422.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1422_q3,Comparative Reasoning,fbd_1422.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1422_q4,Compound Reasoning,fbd_1422.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_1422_q5,Extrapolative/Counterfactual Reasoning,fbd_1422.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_1423_q1,Image Description,fbd_1423.png,How many force arrows are shown in this diagram?,4
fbd_1423_q2,Basic Relational Reasoning,fbd_1423.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1423_q3,Comparative Reasoning,fbd_1423.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1423_q4,Compound Reasoning,fbd_1423.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 60.7, 'required_friction_coefficient': 0.57}"
fbd_1423_q5,Extrapolative/Counterfactual Reasoning,fbd_1423.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1424_q1,Image Description,fbd_1424.png,How many force arrows are shown in this diagram?,2
fbd_1424_q2,Basic Relational Reasoning,fbd_1424.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1424_q3,Comparative Reasoning,fbd_1424.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1424_q4,Compound Reasoning,fbd_1424.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 14.18, 'tension_magnitude': 52.04}"
fbd_1424_q5,Extrapolative/Counterfactual Reasoning,fbd_1424.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1425_q1,Image Description,fbd_1425.png,How many force arrows are shown in this diagram?,4
fbd_1425_q2,Basic Relational Reasoning,fbd_1425.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1425_q3,Comparative Reasoning,fbd_1425.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1425_q4,Compound Reasoning,fbd_1425.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 22.11, 'tension_magnitude': 132.28}"
fbd_1425_q5,Extrapolative/Counterfactual Reasoning,fbd_1425.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1426_q1,Image Description,fbd_1426.png,How many force arrows are shown in this diagram?,4
fbd_1426_q2,Basic Relational Reasoning,fbd_1426.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1426_q3,Comparative Reasoning,fbd_1426.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1426_q4,Compound Reasoning,fbd_1426.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 74.94}"
fbd_1426_q5,Extrapolative/Counterfactual Reasoning,fbd_1426.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (349.5 degrees; 0=right, 90=up)"
fbd_1427_q1,Image Description,fbd_1427.png,How many force arrows are shown in this diagram?,2
fbd_1427_q2,Basic Relational Reasoning,fbd_1427.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1427_q3,Comparative Reasoning,fbd_1427.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1427_q4,Compound Reasoning,fbd_1427.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 31.93, 'support_force_magnitude': 146.03}"
fbd_1427_q5,Extrapolative/Counterfactual Reasoning,fbd_1427.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1428_q1,Image Description,fbd_1428.png,How many force arrows are shown in this diagram?,3
fbd_1428_q2,Basic Relational Reasoning,fbd_1428.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1428_q3,Comparative Reasoning,fbd_1428.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1428_q4,Compound Reasoning,fbd_1428.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 25.57, 'required_friction_coefficient': 0.24}"
fbd_1428_q5,Extrapolative/Counterfactual Reasoning,fbd_1428.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (256.3 degrees; 0=right, 90=up)"
fbd_1429_q1,Image Description,fbd_1429.png,How many force arrows are shown in this diagram?,3
fbd_1429_q2,Basic Relational Reasoning,fbd_1429.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1429_q3,Comparative Reasoning,fbd_1429.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1429_q4,Compound Reasoning,fbd_1429.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.48}"
fbd_1429_q5,Extrapolative/Counterfactual Reasoning,fbd_1429.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1430_q1,Image Description,fbd_1430.png,How many force arrows are shown in this diagram?,1
fbd_1430_q2,Basic Relational Reasoning,fbd_1430.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1430_q3,Comparative Reasoning,fbd_1430.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1430_q4,Compound Reasoning,fbd_1430.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 194.83}"
fbd_1430_q5,Extrapolative/Counterfactual Reasoning,fbd_1430.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1431_q1,Image Description,fbd_1431.png,How many force arrows are shown in this diagram?,3
fbd_1431_q2,Basic Relational Reasoning,fbd_1431.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1431_q3,Comparative Reasoning,fbd_1431.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1431_q4,Compound Reasoning,fbd_1431.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 141.46}"
fbd_1431_q5,Extrapolative/Counterfactual Reasoning,fbd_1431.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1432_q1,Image Description,fbd_1432.png,How many force arrows are shown in this diagram?,3
fbd_1432_q2,Basic Relational Reasoning,fbd_1432.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1432_q3,Comparative Reasoning,fbd_1432.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1432_q4,Compound Reasoning,fbd_1432.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 0.0}"
fbd_1432_q5,Extrapolative/Counterfactual Reasoning,fbd_1432.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1433_q1,Image Description,fbd_1433.png,How many force arrows are shown in this diagram?,1
fbd_1433_q2,Basic Relational Reasoning,fbd_1433.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1433_q3,Comparative Reasoning,fbd_1433.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1433_q4,Compound Reasoning,fbd_1433.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 173.24}"
fbd_1433_q5,Extrapolative/Counterfactual Reasoning,fbd_1433.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1434_q1,Image Description,fbd_1434.png,How many force arrows are shown in this diagram?,2
fbd_1434_q2,Basic Relational Reasoning,fbd_1434.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1434_q3,Comparative Reasoning,fbd_1434.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1434_q4,Compound Reasoning,fbd_1434.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.32}"
fbd_1434_q5,Extrapolative/Counterfactual Reasoning,fbd_1434.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_1435_q1,Image Description,fbd_1435.png,How many force arrows are shown in this diagram?,4
fbd_1435_q2,Basic Relational Reasoning,fbd_1435.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1435_q3,Comparative Reasoning,fbd_1435.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1435_q4,Compound Reasoning,fbd_1435.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.62, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 125.0, 'magnitude': 175.342936}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 160.0, 'magnitude': 175.342936}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1435_q5,Extrapolative/Counterfactual Reasoning,fbd_1435.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1436_q1,Image Description,fbd_1436.png,How many force arrows are shown in this diagram?,2
fbd_1436_q2,Basic Relational Reasoning,fbd_1436.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1436_q3,Comparative Reasoning,fbd_1436.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1436_q4,Compound Reasoning,fbd_1436.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 183.15, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 183.1527}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 256.41378}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1436_q5,Extrapolative/Counterfactual Reasoning,fbd_1436.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1437_q1,Image Description,fbd_1437.png,How many force arrows are shown in this diagram?,4
fbd_1437_q2,Basic Relational Reasoning,fbd_1437.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1437_q3,Comparative Reasoning,fbd_1437.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1437_q4,Compound Reasoning,fbd_1437.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 92.9, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 92.9007}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 92.9007}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1437_q5,Extrapolative/Counterfactual Reasoning,fbd_1437.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1438_q1,Image Description,fbd_1438.png,How many force arrows are shown in this diagram?,4
fbd_1438_q2,Basic Relational Reasoning,fbd_1438.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1438_q3,Comparative Reasoning,fbd_1438.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1438_q4,Compound Reasoning,fbd_1438.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 366.52}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 513.128}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1438_q5,Extrapolative/Counterfactual Reasoning,fbd_1438.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1439_q1,Image Description,fbd_1439.png,How many force arrows are shown in this diagram?,2
fbd_1439_q2,Basic Relational Reasoning,fbd_1439.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1439_q3,Comparative Reasoning,fbd_1439.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1439_q4,Compound Reasoning,fbd_1439.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 137.73, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 137.7324}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 137.7324}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1439_q5,Extrapolative/Counterfactual Reasoning,fbd_1439.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1440_q1,Image Description,fbd_1440.png,How many force arrows are shown in this diagram?,3
fbd_1440_q2,Basic Relational Reasoning,fbd_1440.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1440_q3,Comparative Reasoning,fbd_1440.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1440_q4,Compound Reasoning,fbd_1440.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 62.0, 'magnitude': 84.45173}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 62.0, 'magnitude': 118.232422}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1440_q5,Extrapolative/Counterfactual Reasoning,fbd_1440.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (242 degrees; 0=right, 90=up)"
fbd_1441_q1,Image Description,fbd_1441.png,How many force arrows are shown in this diagram?,4
fbd_1441_q2,Basic Relational Reasoning,fbd_1441.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1441_q3,Comparative Reasoning,fbd_1441.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1441_q4,Compound Reasoning,fbd_1441.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_1441_q5,Extrapolative/Counterfactual Reasoning,fbd_1441.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1442_q1,Image Description,fbd_1442.png,How many force arrows are shown in this diagram?,2
fbd_1442_q2,Basic Relational Reasoning,fbd_1442.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1442_q3,Comparative Reasoning,fbd_1442.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1442_q4,Compound Reasoning,fbd_1442.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 171.87}"
fbd_1442_q5,Extrapolative/Counterfactual Reasoning,fbd_1442.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1443_q1,Image Description,fbd_1443.png,How many force arrows are shown in this diagram?,4
fbd_1443_q2,Basic Relational Reasoning,fbd_1443.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1443_q3,Comparative Reasoning,fbd_1443.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1443_q4,Compound Reasoning,fbd_1443.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 96.92}"
fbd_1443_q5,Extrapolative/Counterfactual Reasoning,fbd_1443.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1444_q1,Image Description,fbd_1444.png,How many force arrows are shown in this diagram?,4
fbd_1444_q2,Basic Relational Reasoning,fbd_1444.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1444_q3,Comparative Reasoning,fbd_1444.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1444_q4,Compound Reasoning,fbd_1444.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0}"
fbd_1444_q5,Extrapolative/Counterfactual Reasoning,fbd_1444.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1445_q1,Image Description,fbd_1445.png,How many force arrows are shown in this diagram?,2
fbd_1445_q2,Basic Relational Reasoning,fbd_1445.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1445_q3,Comparative Reasoning,fbd_1445.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1445_q4,Compound Reasoning,fbd_1445.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 97.71}"
fbd_1445_q5,Extrapolative/Counterfactual Reasoning,fbd_1445.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1446_q1,Image Description,fbd_1446.png,How many force arrows are shown in this diagram?,3
fbd_1446_q2,Basic Relational Reasoning,fbd_1446.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1446_q3,Comparative Reasoning,fbd_1446.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1446_q4,Compound Reasoning,fbd_1446.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45}"
fbd_1446_q5,Extrapolative/Counterfactual Reasoning,fbd_1446.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (246 degrees; 0=right, 90=up)"
fbd_1447_q1,Image Description,fbd_1447.png,How many force arrows are shown in this diagram?,4
fbd_1447_q2,Basic Relational Reasoning,fbd_1447.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1447_q3,Comparative Reasoning,fbd_1447.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1447_q4,Compound Reasoning,fbd_1447.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 26.49, 'required_friction_coefficient': 0.51}"
fbd_1447_q5,Extrapolative/Counterfactual Reasoning,fbd_1447.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1448_q1,Image Description,fbd_1448.png,How many force arrows are shown in this diagram?,2
fbd_1448_q2,Basic Relational Reasoning,fbd_1448.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1448_q3,Comparative Reasoning,fbd_1448.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1448_q4,Compound Reasoning,fbd_1448.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 18.71, 'tension_magnitude': 108.73}"
fbd_1448_q5,Extrapolative/Counterfactual Reasoning,fbd_1448.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1449_q1,Image Description,fbd_1449.png,How many force arrows are shown in this diagram?,4
fbd_1449_q2,Basic Relational Reasoning,fbd_1449.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1449_q3,Comparative Reasoning,fbd_1449.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1449_q4,Compound Reasoning,fbd_1449.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 26.33, 'tension_magnitude': 100.69}"
fbd_1449_q5,Extrapolative/Counterfactual Reasoning,fbd_1449.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1450_q1,Image Description,fbd_1450.png,How many force arrows are shown in this diagram?,4
fbd_1450_q2,Basic Relational Reasoning,fbd_1450.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1450_q3,Comparative Reasoning,fbd_1450.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1450_q4,Compound Reasoning,fbd_1450.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.7, 'net_force_N': 76.51}"
fbd_1450_q5,Extrapolative/Counterfactual Reasoning,fbd_1450.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (339.8 degrees; 0=right, 90=up)"
fbd_1451_q1,Image Description,fbd_1451.png,How many force arrows are shown in this diagram?,2
fbd_1451_q2,Basic Relational Reasoning,fbd_1451.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1451_q3,Comparative Reasoning,fbd_1451.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1451_q4,Compound Reasoning,fbd_1451.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 21.57, 'support_force_magnitude': 92.81}"
fbd_1451_q5,Extrapolative/Counterfactual Reasoning,fbd_1451.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1452_q1,Image Description,fbd_1452.png,How many force arrows are shown in this diagram?,3
fbd_1452_q2,Basic Relational Reasoning,fbd_1452.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1452_q3,Comparative Reasoning,fbd_1452.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1452_q4,Compound Reasoning,fbd_1452.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 23.71, 'required_friction_coefficient': 0.25}"
fbd_1452_q5,Extrapolative/Counterfactual Reasoning,fbd_1452.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (256.2 degrees; 0=right, 90=up)"
fbd_1453_q1,Image Description,fbd_1453.png,How many force arrows are shown in this diagram?,3
fbd_1453_q2,Basic Relational Reasoning,fbd_1453.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1453_q3,Comparative Reasoning,fbd_1453.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1453_q4,Compound Reasoning,fbd_1453.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.66}"
fbd_1453_q5,Extrapolative/Counterfactual Reasoning,fbd_1453.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1454_q1,Image Description,fbd_1454.png,How many force arrows are shown in this diagram?,1
fbd_1454_q2,Basic Relational Reasoning,fbd_1454.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1454_q3,Comparative Reasoning,fbd_1454.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1454_q4,Compound Reasoning,fbd_1454.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 171.87}"
fbd_1454_q5,Extrapolative/Counterfactual Reasoning,fbd_1454.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1455_q1,Image Description,fbd_1455.png,How many force arrows are shown in this diagram?,3
fbd_1455_q2,Basic Relational Reasoning,fbd_1455.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1455_q3,Comparative Reasoning,fbd_1455.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1455_q4,Compound Reasoning,fbd_1455.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 144.11}"
fbd_1455_q5,Extrapolative/Counterfactual Reasoning,fbd_1455.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1456_q1,Image Description,fbd_1456.png,How many force arrows are shown in this diagram?,3
fbd_1456_q2,Basic Relational Reasoning,fbd_1456.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1456_q3,Comparative Reasoning,fbd_1456.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1456_q4,Compound Reasoning,fbd_1456.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.7, 'net_force_N': 0.0}"
fbd_1456_q5,Extrapolative/Counterfactual Reasoning,fbd_1456.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1457_q1,Image Description,fbd_1457.png,How many force arrows are shown in this diagram?,1
fbd_1457_q2,Basic Relational Reasoning,fbd_1457.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1457_q3,Comparative Reasoning,fbd_1457.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1457_q4,Compound Reasoning,fbd_1457.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 112.32}"
fbd_1457_q5,Extrapolative/Counterfactual Reasoning,fbd_1457.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1458_q1,Image Description,fbd_1458.png,How many force arrows are shown in this diagram?,2
fbd_1458_q2,Basic Relational Reasoning,fbd_1458.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1458_q3,Comparative Reasoning,fbd_1458.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1458_q4,Compound Reasoning,fbd_1458.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_1458_q5,Extrapolative/Counterfactual Reasoning,fbd_1458.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_1459_q1,Image Description,fbd_1459.png,How many force arrows are shown in this diagram?,4
fbd_1459_q2,Basic Relational Reasoning,fbd_1459.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1459_q3,Comparative Reasoning,fbd_1459.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1459_q4,Compound Reasoning,fbd_1459.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.43, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 116.0, 'magnitude': 110.74365}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 151.0, 'magnitude': 110.74365}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1459_q5,Extrapolative/Counterfactual Reasoning,fbd_1459.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1460_q1,Image Description,fbd_1460.png,How many force arrows are shown in this diagram?,2
fbd_1460_q2,Basic Relational Reasoning,fbd_1460.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1460_q3,Comparative Reasoning,fbd_1460.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1460_q4,Compound Reasoning,fbd_1460.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 165.0, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 165.0042}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 231.00588}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1460_q5,Extrapolative/Counterfactual Reasoning,fbd_1460.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1461_q1,Image Description,fbd_1461.png,How many force arrows are shown in this diagram?,4
fbd_1461_q2,Basic Relational Reasoning,fbd_1461.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1461_q3,Comparative Reasoning,fbd_1461.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1461_q4,Compound Reasoning,fbd_1461.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 65.04, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 65.0403}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 65.0403}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1461_q5,Extrapolative/Counterfactual Reasoning,fbd_1461.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1462_q1,Image Description,fbd_1462.png,How many force arrows are shown in this diagram?,4
fbd_1462_q2,Basic Relational Reasoning,fbd_1462.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1462_q3,Comparative Reasoning,fbd_1462.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1462_q4,Compound Reasoning,fbd_1462.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 184.44}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 258.216}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1462_q5,Extrapolative/Counterfactual Reasoning,fbd_1462.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1463_q1,Image Description,fbd_1463.png,How many force arrows are shown in this diagram?,2
fbd_1463_q2,Basic Relational Reasoning,fbd_1463.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1463_q3,Comparative Reasoning,fbd_1463.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1463_q4,Compound Reasoning,fbd_1463.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 160.2, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 160.1973}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 160.1973}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1463_q5,Extrapolative/Counterfactual Reasoning,fbd_1463.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1464_q1,Image Description,fbd_1464.png,How many force arrows are shown in this diagram?,3
fbd_1464_q2,Basic Relational Reasoning,fbd_1464.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1464_q3,Comparative Reasoning,fbd_1464.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1464_q4,Compound Reasoning,fbd_1464.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 60.0, 'magnitude': 94.387329}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 60.0, 'magnitude': 132.142261}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1464_q5,Extrapolative/Counterfactual Reasoning,fbd_1464.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_1465_q1,Image Description,fbd_1465.png,How many force arrows are shown in this diagram?,4
fbd_1465_q2,Basic Relational Reasoning,fbd_1465.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1465_q3,Comparative Reasoning,fbd_1465.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1465_q4,Compound Reasoning,fbd_1465.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53}"
fbd_1465_q5,Extrapolative/Counterfactual Reasoning,fbd_1465.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1466_q1,Image Description,fbd_1466.png,How many force arrows are shown in this diagram?,2
fbd_1466_q2,Basic Relational Reasoning,fbd_1466.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1466_q3,Comparative Reasoning,fbd_1466.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1466_q4,Compound Reasoning,fbd_1466.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 155.49}"
fbd_1466_q5,Extrapolative/Counterfactual Reasoning,fbd_1466.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1467_q1,Image Description,fbd_1467.png,How many force arrows are shown in this diagram?,4
fbd_1467_q2,Basic Relational Reasoning,fbd_1467.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1467_q3,Comparative Reasoning,fbd_1467.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1467_q4,Compound Reasoning,fbd_1467.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 174.23}"
fbd_1467_q5,Extrapolative/Counterfactual Reasoning,fbd_1467.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1468_q1,Image Description,fbd_1468.png,How many force arrows are shown in this diagram?,4
fbd_1468_q2,Basic Relational Reasoning,fbd_1468.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1468_q3,Comparative Reasoning,fbd_1468.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1468_q4,Compound Reasoning,fbd_1468.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0}"
fbd_1468_q5,Extrapolative/Counterfactual Reasoning,fbd_1468.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1469_q1,Image Description,fbd_1469.png,How many force arrows are shown in this diagram?,2
fbd_1469_q2,Basic Relational Reasoning,fbd_1469.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1469_q3,Comparative Reasoning,fbd_1469.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1469_q4,Compound Reasoning,fbd_1469.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 66.22}"
fbd_1469_q5,Extrapolative/Counterfactual Reasoning,fbd_1469.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1470_q1,Image Description,fbd_1470.png,How many force arrows are shown in this diagram?,3
fbd_1470_q2,Basic Relational Reasoning,fbd_1470.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1470_q3,Comparative Reasoning,fbd_1470.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1470_q4,Compound Reasoning,fbd_1470.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_1470_q5,Extrapolative/Counterfactual Reasoning,fbd_1470.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_1471_q1,Image Description,fbd_1471.png,How many force arrows are shown in this diagram?,4
fbd_1471_q2,Basic Relational Reasoning,fbd_1471.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1471_q3,Comparative Reasoning,fbd_1471.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1471_q4,Compound Reasoning,fbd_1471.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 24.11, 'required_friction_coefficient': 0.46}"
fbd_1471_q5,Extrapolative/Counterfactual Reasoning,fbd_1471.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1472_q1,Image Description,fbd_1472.png,How many force arrows are shown in this diagram?,2
fbd_1472_q2,Basic Relational Reasoning,fbd_1472.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1472_q3,Comparative Reasoning,fbd_1472.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1472_q4,Compound Reasoning,fbd_1472.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 21.96, 'tension_magnitude': 71.72}"
fbd_1472_q5,Extrapolative/Counterfactual Reasoning,fbd_1472.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1473_q1,Image Description,fbd_1473.png,How many force arrows are shown in this diagram?,4
fbd_1473_q2,Basic Relational Reasoning,fbd_1473.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1473_q3,Comparative Reasoning,fbd_1473.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1473_q4,Compound Reasoning,fbd_1473.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 28.52, 'tension_magnitude': 102.69}"
fbd_1473_q5,Extrapolative/Counterfactual Reasoning,fbd_1473.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1474_q1,Image Description,fbd_1474.png,How many force arrows are shown in this diagram?,4
fbd_1474_q2,Basic Relational Reasoning,fbd_1474.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1474_q3,Comparative Reasoning,fbd_1474.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1474_q4,Compound Reasoning,fbd_1474.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 31.21}"
fbd_1474_q5,Extrapolative/Counterfactual Reasoning,fbd_1474.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (345.3 degrees; 0=right, 90=up)"
fbd_1475_q1,Image Description,fbd_1475.png,How many force arrows are shown in this diagram?,2
fbd_1475_q2,Basic Relational Reasoning,fbd_1475.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1475_q3,Comparative Reasoning,fbd_1475.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1475_q4,Compound Reasoning,fbd_1475.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 13.71, 'support_force_magnitude': 62.71}"
fbd_1475_q5,Extrapolative/Counterfactual Reasoning,fbd_1475.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1476_q1,Image Description,fbd_1476.png,How many force arrows are shown in this diagram?,3
fbd_1476_q2,Basic Relational Reasoning,fbd_1476.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1476_q3,Comparative Reasoning,fbd_1476.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1476_q4,Compound Reasoning,fbd_1476.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 38.57, 'required_friction_coefficient': 0.07}"
fbd_1476_q5,Extrapolative/Counterfactual Reasoning,fbd_1476.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (265.8 degrees; 0=right, 90=up)"
fbd_1477_q1,Image Description,fbd_1477.png,How many force arrows are shown in this diagram?,3
fbd_1477_q2,Basic Relational Reasoning,fbd_1477.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1477_q3,Comparative Reasoning,fbd_1477.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1477_q4,Compound Reasoning,fbd_1477.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.6}"
fbd_1477_q5,Extrapolative/Counterfactual Reasoning,fbd_1477.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1478_q1,Image Description,fbd_1478.png,How many force arrows are shown in this diagram?,1
fbd_1478_q2,Basic Relational Reasoning,fbd_1478.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1478_q3,Comparative Reasoning,fbd_1478.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1478_q4,Compound Reasoning,fbd_1478.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 150.29}"
fbd_1478_q5,Extrapolative/Counterfactual Reasoning,fbd_1478.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1479_q1,Image Description,fbd_1479.png,How many force arrows are shown in this diagram?,3
fbd_1479_q2,Basic Relational Reasoning,fbd_1479.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1479_q3,Comparative Reasoning,fbd_1479.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1479_q4,Compound Reasoning,fbd_1479.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 66.61}"
fbd_1479_q5,Extrapolative/Counterfactual Reasoning,fbd_1479.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1480_q1,Image Description,fbd_1480.png,How many force arrows are shown in this diagram?,3
fbd_1480_q2,Basic Relational Reasoning,fbd_1480.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1480_q3,Comparative Reasoning,fbd_1480.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1480_q4,Compound Reasoning,fbd_1480.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0}"
fbd_1480_q5,Extrapolative/Counterfactual Reasoning,fbd_1480.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1481_q1,Image Description,fbd_1481.png,How many force arrows are shown in this diagram?,1
fbd_1481_q2,Basic Relational Reasoning,fbd_1481.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1481_q3,Comparative Reasoning,fbd_1481.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1481_q4,Compound Reasoning,fbd_1481.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 61.7}"
fbd_1481_q5,Extrapolative/Counterfactual Reasoning,fbd_1481.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1482_q1,Image Description,fbd_1482.png,How many force arrows are shown in this diagram?,2
fbd_1482_q2,Basic Relational Reasoning,fbd_1482.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1482_q3,Comparative Reasoning,fbd_1482.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1482_q4,Compound Reasoning,fbd_1482.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_1482_q5,Extrapolative/Counterfactual Reasoning,fbd_1482.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_1483_q1,Image Description,fbd_1483.png,How many force arrows are shown in this diagram?,4
fbd_1483_q2,Basic Relational Reasoning,fbd_1483.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1483_q3,Comparative Reasoning,fbd_1483.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1483_q4,Compound Reasoning,fbd_1483.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.65, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 127.0, 'magnitude': 125.118791}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 162.0, 'magnitude': 125.118791}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1483_q5,Extrapolative/Counterfactual Reasoning,fbd_1483.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1484_q1,Image Description,fbd_1484.png,How many force arrows are shown in this diagram?,2
fbd_1484_q2,Basic Relational Reasoning,fbd_1484.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1484_q3,Comparative Reasoning,fbd_1484.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1484_q4,Compound Reasoning,fbd_1484.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 81.23, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 81.2268}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 113.71752}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1484_q5,Extrapolative/Counterfactual Reasoning,fbd_1484.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1485_q1,Image Description,fbd_1485.png,How many force arrows are shown in this diagram?,4
fbd_1485_q2,Basic Relational Reasoning,fbd_1485.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1485_q3,Comparative Reasoning,fbd_1485.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1485_q4,Compound Reasoning,fbd_1485.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 114.29, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 114.2865}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 114.2865}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1485_q5,Extrapolative/Counterfactual Reasoning,fbd_1485.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1486_q1,Image Description,fbd_1486.png,How many force arrows are shown in this diagram?,4
fbd_1486_q2,Basic Relational Reasoning,fbd_1486.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1486_q3,Comparative Reasoning,fbd_1486.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1486_q4,Compound Reasoning,fbd_1486.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 342.41}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 479.374}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1486_q5,Extrapolative/Counterfactual Reasoning,fbd_1486.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1487_q1,Image Description,fbd_1487.png,How many force arrows are shown in this diagram?,2
fbd_1487_q2,Basic Relational Reasoning,fbd_1487.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1487_q3,Comparative Reasoning,fbd_1487.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1487_q4,Compound Reasoning,fbd_1487.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 192.96, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 192.9627}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 192.9627}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1487_q5,Extrapolative/Counterfactual Reasoning,fbd_1487.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1488_q1,Image Description,fbd_1488.png,How many force arrows are shown in this diagram?,3
fbd_1488_q2,Basic Relational Reasoning,fbd_1488.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1488_q3,Comparative Reasoning,fbd_1488.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1488_q4,Compound Reasoning,fbd_1488.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.32, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 72.0, 'magnitude': 97.03059}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 72.0, 'magnitude': 135.842826}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1488_q5,Extrapolative/Counterfactual Reasoning,fbd_1488.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_1489_q1,Image Description,fbd_1489.png,How many force arrows are shown in this diagram?,4
fbd_1489_q2,Basic Relational Reasoning,fbd_1489.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1489_q3,Comparative Reasoning,fbd_1489.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1489_q4,Compound Reasoning,fbd_1489.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.41}"
fbd_1489_q5,Extrapolative/Counterfactual Reasoning,fbd_1489.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1490_q1,Image Description,fbd_1490.png,How many force arrows are shown in this diagram?,2
fbd_1490_q2,Basic Relational Reasoning,fbd_1490.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1490_q3,Comparative Reasoning,fbd_1490.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1490_q4,Compound Reasoning,fbd_1490.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 140.77}"
fbd_1490_q5,Extrapolative/Counterfactual Reasoning,fbd_1490.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1491_q1,Image Description,fbd_1491.png,How many force arrows are shown in this diagram?,4
fbd_1491_q2,Basic Relational Reasoning,fbd_1491.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1491_q3,Comparative Reasoning,fbd_1491.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1491_q4,Compound Reasoning,fbd_1491.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 94.37}"
fbd_1491_q5,Extrapolative/Counterfactual Reasoning,fbd_1491.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1492_q1,Image Description,fbd_1492.png,How many force arrows are shown in this diagram?,4
fbd_1492_q2,Basic Relational Reasoning,fbd_1492.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1492_q3,Comparative Reasoning,fbd_1492.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1492_q4,Compound Reasoning,fbd_1492.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.7, 'net_force_N': 0.0}"
fbd_1492_q5,Extrapolative/Counterfactual Reasoning,fbd_1492.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1493_q1,Image Description,fbd_1493.png,How many force arrows are shown in this diagram?,2
fbd_1493_q2,Basic Relational Reasoning,fbd_1493.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1493_q3,Comparative Reasoning,fbd_1493.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1493_q4,Compound Reasoning,fbd_1493.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 185.9}"
fbd_1493_q5,Extrapolative/Counterfactual Reasoning,fbd_1493.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1494_q1,Image Description,fbd_1494.png,How many force arrows are shown in this diagram?,3
fbd_1494_q2,Basic Relational Reasoning,fbd_1494.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1494_q3,Comparative Reasoning,fbd_1494.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1494_q4,Compound Reasoning,fbd_1494.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36}"
fbd_1494_q5,Extrapolative/Counterfactual Reasoning,fbd_1494.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_1495_q1,Image Description,fbd_1495.png,How many force arrows are shown in this diagram?,4
fbd_1495_q2,Basic Relational Reasoning,fbd_1495.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1495_q3,Comparative Reasoning,fbd_1495.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1495_q4,Compound Reasoning,fbd_1495.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 44.1, 'required_friction_coefficient': 0.58}"
fbd_1495_q5,Extrapolative/Counterfactual Reasoning,fbd_1495.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1496_q1,Image Description,fbd_1496.png,How many force arrows are shown in this diagram?,2
fbd_1496_q2,Basic Relational Reasoning,fbd_1496.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1496_q3,Comparative Reasoning,fbd_1496.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1496_q4,Compound Reasoning,fbd_1496.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 22.29, 'tension_magnitude': 164.59}"
fbd_1496_q5,Extrapolative/Counterfactual Reasoning,fbd_1496.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1497_q1,Image Description,fbd_1497.png,How many force arrows are shown in this diagram?,4
fbd_1497_q2,Basic Relational Reasoning,fbd_1497.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1497_q3,Comparative Reasoning,fbd_1497.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1497_q4,Compound Reasoning,fbd_1497.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 28.74, 'tension_magnitude': 100.55}"
fbd_1497_q5,Extrapolative/Counterfactual Reasoning,fbd_1497.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1498_q1,Image Description,fbd_1498.png,How many force arrows are shown in this diagram?,4
fbd_1498_q2,Basic Relational Reasoning,fbd_1498.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1498_q3,Comparative Reasoning,fbd_1498.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1498_q4,Compound Reasoning,fbd_1498.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 50.17}"
fbd_1498_q5,Extrapolative/Counterfactual Reasoning,fbd_1498.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (336.6 degrees; 0=right, 90=up)"
fbd_1499_q1,Image Description,fbd_1499.png,How many force arrows are shown in this diagram?,2
fbd_1499_q2,Basic Relational Reasoning,fbd_1499.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1499_q3,Comparative Reasoning,fbd_1499.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1499_q4,Compound Reasoning,fbd_1499.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 20.36, 'support_force_magnitude': 94.42}"
fbd_1499_q5,Extrapolative/Counterfactual Reasoning,fbd_1499.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1500_q1,Image Description,fbd_1500.png,How many force arrows are shown in this diagram?,3
fbd_1500_q2,Basic Relational Reasoning,fbd_1500.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1500_q3,Comparative Reasoning,fbd_1500.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1500_q4,Compound Reasoning,fbd_1500.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 18.52, 'required_friction_coefficient': 0.33}"
fbd_1500_q5,Extrapolative/Counterfactual Reasoning,fbd_1500.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251.8 degrees; 0=right, 90=up)"
fbd_1501_q1,Image Description,fbd_1501.png,How many force arrows are shown in this diagram?,3
fbd_1501_q2,Basic Relational Reasoning,fbd_1501.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1501_q3,Comparative Reasoning,fbd_1501.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1501_q4,Compound Reasoning,fbd_1501.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.54}"
fbd_1501_q5,Extrapolative/Counterfactual Reasoning,fbd_1501.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1502_q1,Image Description,fbd_1502.png,How many force arrows are shown in this diagram?,1
fbd_1502_q2,Basic Relational Reasoning,fbd_1502.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1502_q3,Comparative Reasoning,fbd_1502.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1502_q4,Compound Reasoning,fbd_1502.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 85.45}"
fbd_1502_q5,Extrapolative/Counterfactual Reasoning,fbd_1502.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1503_q1,Image Description,fbd_1503.png,How many force arrows are shown in this diagram?,3
fbd_1503_q2,Basic Relational Reasoning,fbd_1503.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1503_q3,Comparative Reasoning,fbd_1503.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1503_q4,Compound Reasoning,fbd_1503.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 131.65}"
fbd_1503_q5,Extrapolative/Counterfactual Reasoning,fbd_1503.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1504_q1,Image Description,fbd_1504.png,How many force arrows are shown in this diagram?,3
fbd_1504_q2,Basic Relational Reasoning,fbd_1504.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1504_q3,Comparative Reasoning,fbd_1504.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1504_q4,Compound Reasoning,fbd_1504.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 0.0}"
fbd_1504_q5,Extrapolative/Counterfactual Reasoning,fbd_1504.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1505_q1,Image Description,fbd_1505.png,How many force arrows are shown in this diagram?,1
fbd_1505_q2,Basic Relational Reasoning,fbd_1505.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1505_q3,Comparative Reasoning,fbd_1505.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1505_q4,Compound Reasoning,fbd_1505.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 77.7}"
fbd_1505_q5,Extrapolative/Counterfactual Reasoning,fbd_1505.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1506_q1,Image Description,fbd_1506.png,How many force arrows are shown in this diagram?,2
fbd_1506_q2,Basic Relational Reasoning,fbd_1506.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1506_q3,Comparative Reasoning,fbd_1506.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1506_q4,Compound Reasoning,fbd_1506.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_1506_q5,Extrapolative/Counterfactual Reasoning,fbd_1506.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_1507_q1,Image Description,fbd_1507.png,How many force arrows are shown in this diagram?,4
fbd_1507_q2,Basic Relational Reasoning,fbd_1507.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1507_q3,Comparative Reasoning,fbd_1507.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1507_q4,Compound Reasoning,fbd_1507.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.52, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 121.0, 'magnitude': 55.918595}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 156.0, 'magnitude': 55.918595}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1507_q5,Extrapolative/Counterfactual Reasoning,fbd_1507.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1508_q1,Image Description,fbd_1508.png,How many force arrows are shown in this diagram?,2
fbd_1508_q2,Basic Relational Reasoning,fbd_1508.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1508_q3,Comparative Reasoning,fbd_1508.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1508_q4,Compound Reasoning,fbd_1508.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 107.13, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 107.1252}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 149.97528}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1508_q5,Extrapolative/Counterfactual Reasoning,fbd_1508.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1509_q1,Image Description,fbd_1509.png,How many force arrows are shown in this diagram?,4
fbd_1509_q2,Basic Relational Reasoning,fbd_1509.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1509_q3,Comparative Reasoning,fbd_1509.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1509_q4,Compound Reasoning,fbd_1509.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 197.18, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 197.181}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 197.181}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1509_q5,Extrapolative/Counterfactual Reasoning,fbd_1509.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1510_q1,Image Description,fbd_1510.png,How many force arrows are shown in this diagram?,4
fbd_1510_q2,Basic Relational Reasoning,fbd_1510.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1510_q3,Comparative Reasoning,fbd_1510.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1510_q4,Compound Reasoning,fbd_1510.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 189.82}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 265.748}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1510_q5,Extrapolative/Counterfactual Reasoning,fbd_1510.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1511_q1,Image Description,fbd_1511.png,How many force arrows are shown in this diagram?,2
fbd_1511_q2,Basic Relational Reasoning,fbd_1511.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1511_q3,Comparative Reasoning,fbd_1511.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1511_q4,Compound Reasoning,fbd_1511.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 87.7, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 87.7014}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 87.7014}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1511_q5,Extrapolative/Counterfactual Reasoning,fbd_1511.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1512_q1,Image Description,fbd_1512.png,How many force arrows are shown in this diagram?,3
fbd_1512_q2,Basic Relational Reasoning,fbd_1512.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1512_q3,Comparative Reasoning,fbd_1512.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1512_q4,Compound Reasoning,fbd_1512.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.32, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 72.0, 'magnitude': 126.60626}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 72.0, 'magnitude': 177.248764}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1512_q5,Extrapolative/Counterfactual Reasoning,fbd_1512.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_1513_q1,Image Description,fbd_1513.png,How many force arrows are shown in this diagram?,4
fbd_1513_q2,Basic Relational Reasoning,fbd_1513.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1513_q3,Comparative Reasoning,fbd_1513.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1513_q4,Compound Reasoning,fbd_1513.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.46}"
fbd_1513_q5,Extrapolative/Counterfactual Reasoning,fbd_1513.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1514_q1,Image Description,fbd_1514.png,How many force arrows are shown in this diagram?,2
fbd_1514_q2,Basic Relational Reasoning,fbd_1514.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1514_q3,Comparative Reasoning,fbd_1514.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1514_q4,Compound Reasoning,fbd_1514.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 58.96}"
fbd_1514_q5,Extrapolative/Counterfactual Reasoning,fbd_1514.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1515_q1,Image Description,fbd_1515.png,How many force arrows are shown in this diagram?,4
fbd_1515_q2,Basic Relational Reasoning,fbd_1515.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1515_q3,Comparative Reasoning,fbd_1515.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1515_q4,Compound Reasoning,fbd_1515.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 185.51}"
fbd_1515_q5,Extrapolative/Counterfactual Reasoning,fbd_1515.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1516_q1,Image Description,fbd_1516.png,How many force arrows are shown in this diagram?,4
fbd_1516_q2,Basic Relational Reasoning,fbd_1516.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1516_q3,Comparative Reasoning,fbd_1516.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1516_q4,Compound Reasoning,fbd_1516.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 0.0}"
fbd_1516_q5,Extrapolative/Counterfactual Reasoning,fbd_1516.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1517_q1,Image Description,fbd_1517.png,How many force arrows are shown in this diagram?,2
fbd_1517_q2,Basic Relational Reasoning,fbd_1517.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1517_q3,Comparative Reasoning,fbd_1517.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1517_q4,Compound Reasoning,fbd_1517.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 121.15}"
fbd_1517_q5,Extrapolative/Counterfactual Reasoning,fbd_1517.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1518_q1,Image Description,fbd_1518.png,How many force arrows are shown in this diagram?,3
fbd_1518_q2,Basic Relational Reasoning,fbd_1518.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1518_q3,Comparative Reasoning,fbd_1518.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1518_q4,Compound Reasoning,fbd_1518.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_1518_q5,Extrapolative/Counterfactual Reasoning,fbd_1518.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_1519_q1,Image Description,fbd_1519.png,How many force arrows are shown in this diagram?,4
fbd_1519_q2,Basic Relational Reasoning,fbd_1519.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1519_q3,Comparative Reasoning,fbd_1519.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1519_q4,Compound Reasoning,fbd_1519.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 39.78, 'required_friction_coefficient': 0.65}"
fbd_1519_q5,Extrapolative/Counterfactual Reasoning,fbd_1519.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1520_q1,Image Description,fbd_1520.png,How many force arrows are shown in this diagram?,2
fbd_1520_q2,Basic Relational Reasoning,fbd_1520.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1520_q3,Comparative Reasoning,fbd_1520.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1520_q4,Compound Reasoning,fbd_1520.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 18.91, 'tension_magnitude': 104.79}"
fbd_1520_q5,Extrapolative/Counterfactual Reasoning,fbd_1520.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1521_q1,Image Description,fbd_1521.png,How many force arrows are shown in this diagram?,4
fbd_1521_q2,Basic Relational Reasoning,fbd_1521.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1521_q3,Comparative Reasoning,fbd_1521.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1521_q4,Compound Reasoning,fbd_1521.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 17.5, 'tension_magnitude': 77.44}"
fbd_1521_q5,Extrapolative/Counterfactual Reasoning,fbd_1521.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1522_q1,Image Description,fbd_1522.png,How many force arrows are shown in this diagram?,4
fbd_1522_q2,Basic Relational Reasoning,fbd_1522.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1522_q3,Comparative Reasoning,fbd_1522.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1522_q4,Compound Reasoning,fbd_1522.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 76.58}"
fbd_1522_q5,Extrapolative/Counterfactual Reasoning,fbd_1522.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (343.4 degrees; 0=right, 90=up)"
fbd_1523_q1,Image Description,fbd_1523.png,How many force arrows are shown in this diagram?,2
fbd_1523_q2,Basic Relational Reasoning,fbd_1523.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1523_q3,Comparative Reasoning,fbd_1523.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1523_q4,Compound Reasoning,fbd_1523.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 20.33, 'support_force_magnitude': 66.0}"
fbd_1523_q5,Extrapolative/Counterfactual Reasoning,fbd_1523.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1524_q1,Image Description,fbd_1524.png,How many force arrows are shown in this diagram?,3
fbd_1524_q2,Basic Relational Reasoning,fbd_1524.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1524_q3,Comparative Reasoning,fbd_1524.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1524_q4,Compound Reasoning,fbd_1524.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 15.76, 'required_friction_coefficient': 0.1}"
fbd_1524_q5,Extrapolative/Counterfactual Reasoning,fbd_1524.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (264.2 degrees; 0=right, 90=up)"
fbd_1525_q1,Image Description,fbd_1525.png,How many force arrows are shown in this diagram?,3
fbd_1525_q2,Basic Relational Reasoning,fbd_1525.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1525_q3,Comparative Reasoning,fbd_1525.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1525_q4,Compound Reasoning,fbd_1525.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_1525_q5,Extrapolative/Counterfactual Reasoning,fbd_1525.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1526_q1,Image Description,fbd_1526.png,How many force arrows are shown in this diagram?,1
fbd_1526_q2,Basic Relational Reasoning,fbd_1526.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1526_q3,Comparative Reasoning,fbd_1526.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1526_q4,Compound Reasoning,fbd_1526.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 156.47}"
fbd_1526_q5,Extrapolative/Counterfactual Reasoning,fbd_1526.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1527_q1,Image Description,fbd_1527.png,How many force arrows are shown in this diagram?,3
fbd_1527_q2,Basic Relational Reasoning,fbd_1527.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1527_q3,Comparative Reasoning,fbd_1527.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1527_q4,Compound Reasoning,fbd_1527.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 156.57}"
fbd_1527_q5,Extrapolative/Counterfactual Reasoning,fbd_1527.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1528_q1,Image Description,fbd_1528.png,How many force arrows are shown in this diagram?,3
fbd_1528_q2,Basic Relational Reasoning,fbd_1528.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1528_q3,Comparative Reasoning,fbd_1528.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1528_q4,Compound Reasoning,fbd_1528.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.68, 'net_force_N': 0.0}"
fbd_1528_q5,Extrapolative/Counterfactual Reasoning,fbd_1528.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1529_q1,Image Description,fbd_1529.png,How many force arrows are shown in this diagram?,1
fbd_1529_q2,Basic Relational Reasoning,fbd_1529.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1529_q3,Comparative Reasoning,fbd_1529.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1529_q4,Compound Reasoning,fbd_1529.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 111.15}"
fbd_1529_q5,Extrapolative/Counterfactual Reasoning,fbd_1529.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1530_q1,Image Description,fbd_1530.png,How many force arrows are shown in this diagram?,2
fbd_1530_q2,Basic Relational Reasoning,fbd_1530.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1530_q3,Comparative Reasoning,fbd_1530.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1530_q4,Compound Reasoning,fbd_1530.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36}"
fbd_1530_q5,Extrapolative/Counterfactual Reasoning,fbd_1530.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_1531_q1,Image Description,fbd_1531.png,How many force arrows are shown in this diagram?,4
fbd_1531_q2,Basic Relational Reasoning,fbd_1531.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1531_q3,Comparative Reasoning,fbd_1531.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1531_q4,Compound Reasoning,fbd_1531.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 118.0, 'magnitude': 151.580028}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 153.0, 'magnitude': 151.580028}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1531_q5,Extrapolative/Counterfactual Reasoning,fbd_1531.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1532_q1,Image Description,fbd_1532.png,How many force arrows are shown in this diagram?,2
fbd_1532_q2,Basic Relational Reasoning,fbd_1532.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1532_q3,Comparative Reasoning,fbd_1532.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1532_q4,Compound Reasoning,fbd_1532.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 194.53, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 194.5323}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 272.34522}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1532_q5,Extrapolative/Counterfactual Reasoning,fbd_1532.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1533_q1,Image Description,fbd_1533.png,How many force arrows are shown in this diagram?,4
fbd_1533_q2,Basic Relational Reasoning,fbd_1533.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1533_q3,Comparative Reasoning,fbd_1533.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1533_q4,Compound Reasoning,fbd_1533.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 188.45, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 188.4501}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 188.4501}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1533_q5,Extrapolative/Counterfactual Reasoning,fbd_1533.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1534_q1,Image Description,fbd_1534.png,How many force arrows are shown in this diagram?,4
fbd_1534_q2,Basic Relational Reasoning,fbd_1534.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1534_q3,Comparative Reasoning,fbd_1534.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1534_q4,Compound Reasoning,fbd_1534.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.7, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 162.14}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 226.996}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1534_q5,Extrapolative/Counterfactual Reasoning,fbd_1534.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1535_q1,Image Description,fbd_1535.png,How many force arrows are shown in this diagram?,2
fbd_1535_q2,Basic Relational Reasoning,fbd_1535.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1535_q3,Comparative Reasoning,fbd_1535.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1535_q4,Compound Reasoning,fbd_1535.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 107.13, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 107.1252}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 107.1252}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1535_q5,Extrapolative/Counterfactual Reasoning,fbd_1535.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1536_q1,Image Description,fbd_1536.png,How many force arrows are shown in this diagram?,3
fbd_1536_q2,Basic Relational Reasoning,fbd_1536.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1536_q3,Comparative Reasoning,fbd_1536.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1536_q4,Compound Reasoning,fbd_1536.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 73.0, 'magnitude': 193.818684}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 73.0, 'magnitude': 271.346158}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1536_q5,Extrapolative/Counterfactual Reasoning,fbd_1536.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_1537_q1,Image Description,fbd_1537.png,How many force arrows are shown in this diagram?,4
fbd_1537_q2,Basic Relational Reasoning,fbd_1537.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1537_q3,Comparative Reasoning,fbd_1537.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1537_q4,Compound Reasoning,fbd_1537.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_1537_q5,Extrapolative/Counterfactual Reasoning,fbd_1537.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1538_q1,Image Description,fbd_1538.png,How many force arrows are shown in this diagram?,2
fbd_1538_q2,Basic Relational Reasoning,fbd_1538.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1538_q3,Comparative Reasoning,fbd_1538.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1538_q4,Compound Reasoning,fbd_1538.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 102.42}"
fbd_1538_q5,Extrapolative/Counterfactual Reasoning,fbd_1538.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1539_q1,Image Description,fbd_1539.png,How many force arrows are shown in this diagram?,4
fbd_1539_q2,Basic Relational Reasoning,fbd_1539.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1539_q3,Comparative Reasoning,fbd_1539.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1539_q4,Compound Reasoning,fbd_1539.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 61.51}"
fbd_1539_q5,Extrapolative/Counterfactual Reasoning,fbd_1539.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1540_q1,Image Description,fbd_1540.png,How many force arrows are shown in this diagram?,4
fbd_1540_q2,Basic Relational Reasoning,fbd_1540.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1540_q3,Comparative Reasoning,fbd_1540.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1540_q4,Compound Reasoning,fbd_1540.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0}"
fbd_1540_q5,Extrapolative/Counterfactual Reasoning,fbd_1540.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1541_q1,Image Description,fbd_1541.png,How many force arrows are shown in this diagram?,2
fbd_1541_q2,Basic Relational Reasoning,fbd_1541.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1541_q3,Comparative Reasoning,fbd_1541.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1541_q4,Compound Reasoning,fbd_1541.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 110.17}"
fbd_1541_q5,Extrapolative/Counterfactual Reasoning,fbd_1541.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1542_q1,Image Description,fbd_1542.png,How many force arrows are shown in this diagram?,3
fbd_1542_q2,Basic Relational Reasoning,fbd_1542.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1542_q3,Comparative Reasoning,fbd_1542.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1542_q4,Compound Reasoning,fbd_1542.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_1542_q5,Extrapolative/Counterfactual Reasoning,fbd_1542.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_1543_q1,Image Description,fbd_1543.png,How many force arrows are shown in this diagram?,4
fbd_1543_q2,Basic Relational Reasoning,fbd_1543.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1543_q3,Comparative Reasoning,fbd_1543.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1543_q4,Compound Reasoning,fbd_1543.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 23.81, 'required_friction_coefficient': 0.56}"
fbd_1543_q5,Extrapolative/Counterfactual Reasoning,fbd_1543.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1544_q1,Image Description,fbd_1544.png,How many force arrows are shown in this diagram?,2
fbd_1544_q2,Basic Relational Reasoning,fbd_1544.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1544_q3,Comparative Reasoning,fbd_1544.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1544_q4,Compound Reasoning,fbd_1544.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 27.18, 'tension_magnitude': 61.99}"
fbd_1544_q5,Extrapolative/Counterfactual Reasoning,fbd_1544.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1545_q1,Image Description,fbd_1545.png,How many force arrows are shown in this diagram?,4
fbd_1545_q2,Basic Relational Reasoning,fbd_1545.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1545_q3,Comparative Reasoning,fbd_1545.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1545_q4,Compound Reasoning,fbd_1545.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 18.32, 'tension_magnitude': 108.28}"
fbd_1545_q5,Extrapolative/Counterfactual Reasoning,fbd_1545.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1546_q1,Image Description,fbd_1546.png,How many force arrows are shown in this diagram?,4
fbd_1546_q2,Basic Relational Reasoning,fbd_1546.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1546_q3,Comparative Reasoning,fbd_1546.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1546_q4,Compound Reasoning,fbd_1546.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 29.79}"
fbd_1546_q5,Extrapolative/Counterfactual Reasoning,fbd_1546.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (346.5 degrees; 0=right, 90=up)"
fbd_1547_q1,Image Description,fbd_1547.png,How many force arrows are shown in this diagram?,2
fbd_1547_q2,Basic Relational Reasoning,fbd_1547.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1547_q3,Comparative Reasoning,fbd_1547.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1547_q4,Compound Reasoning,fbd_1547.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 34.66, 'support_force_magnitude': 160.75}"
fbd_1547_q5,Extrapolative/Counterfactual Reasoning,fbd_1547.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1548_q1,Image Description,fbd_1548.png,How many force arrows are shown in this diagram?,3
fbd_1548_q2,Basic Relational Reasoning,fbd_1548.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1548_q3,Comparative Reasoning,fbd_1548.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1548_q4,Compound Reasoning,fbd_1548.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 18.1, 'required_friction_coefficient': 0.23}"
fbd_1548_q5,Extrapolative/Counterfactual Reasoning,fbd_1548.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (257.1 degrees; 0=right, 90=up)"
fbd_1549_q1,Image Description,fbd_1549.png,How many force arrows are shown in this diagram?,3
fbd_1549_q2,Basic Relational Reasoning,fbd_1549.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1549_q3,Comparative Reasoning,fbd_1549.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1549_q4,Compound Reasoning,fbd_1549.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.59}"
fbd_1549_q5,Extrapolative/Counterfactual Reasoning,fbd_1549.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1550_q1,Image Description,fbd_1550.png,How many force arrows are shown in this diagram?,1
fbd_1550_q2,Basic Relational Reasoning,fbd_1550.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1550_q3,Comparative Reasoning,fbd_1550.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1550_q4,Compound Reasoning,fbd_1550.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 154.12}"
fbd_1550_q5,Extrapolative/Counterfactual Reasoning,fbd_1550.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1551_q1,Image Description,fbd_1551.png,How many force arrows are shown in this diagram?,3
fbd_1551_q2,Basic Relational Reasoning,fbd_1551.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1551_q3,Comparative Reasoning,fbd_1551.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1551_q4,Compound Reasoning,fbd_1551.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 179.52}"
fbd_1551_q5,Extrapolative/Counterfactual Reasoning,fbd_1551.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1552_q1,Image Description,fbd_1552.png,How many force arrows are shown in this diagram?,3
fbd_1552_q2,Basic Relational Reasoning,fbd_1552.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1552_q3,Comparative Reasoning,fbd_1552.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1552_q4,Compound Reasoning,fbd_1552.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.74, 'net_force_N': 0.0}"
fbd_1552_q5,Extrapolative/Counterfactual Reasoning,fbd_1552.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1553_q1,Image Description,fbd_1553.png,How many force arrows are shown in this diagram?,1
fbd_1553_q2,Basic Relational Reasoning,fbd_1553.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1553_q3,Comparative Reasoning,fbd_1553.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1553_q4,Compound Reasoning,fbd_1553.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 155.88}"
fbd_1553_q5,Extrapolative/Counterfactual Reasoning,fbd_1553.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1554_q1,Image Description,fbd_1554.png,How many force arrows are shown in this diagram?,2
fbd_1554_q2,Basic Relational Reasoning,fbd_1554.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1554_q3,Comparative Reasoning,fbd_1554.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1554_q4,Compound Reasoning,fbd_1554.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_1554_q5,Extrapolative/Counterfactual Reasoning,fbd_1554.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (241 degrees; 0=right, 90=up)"
fbd_1555_q1,Image Description,fbd_1555.png,How many force arrows are shown in this diagram?,4
fbd_1555_q2,Basic Relational Reasoning,fbd_1555.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1555_q3,Comparative Reasoning,fbd_1555.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1555_q4,Compound Reasoning,fbd_1555.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 115.0, 'magnitude': 102.689657}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 150.0, 'magnitude': 102.689657}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1555_q5,Extrapolative/Counterfactual Reasoning,fbd_1555.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1556_q1,Image Description,fbd_1556.png,How many force arrows are shown in this diagram?,2
fbd_1556_q2,Basic Relational Reasoning,fbd_1556.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1556_q3,Comparative Reasoning,fbd_1556.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1556_q4,Compound Reasoning,fbd_1556.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 113.8, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 113.796}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 159.3144}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1556_q5,Extrapolative/Counterfactual Reasoning,fbd_1556.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1557_q1,Image Description,fbd_1557.png,How many force arrows are shown in this diagram?,4
fbd_1557_q2,Basic Relational Reasoning,fbd_1557.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1557_q3,Comparative Reasoning,fbd_1557.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1557_q4,Compound Reasoning,fbd_1557.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 70.04, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 70.0434}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 70.0434}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1557_q5,Extrapolative/Counterfactual Reasoning,fbd_1557.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1558_q1,Image Description,fbd_1558.png,How many force arrows are shown in this diagram?,4
fbd_1558_q2,Basic Relational Reasoning,fbd_1558.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1558_q3,Comparative Reasoning,fbd_1558.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1558_q4,Compound Reasoning,fbd_1558.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.74, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 266.6}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 373.24}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1558_q5,Extrapolative/Counterfactual Reasoning,fbd_1558.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1559_q1,Image Description,fbd_1559.png,How many force arrows are shown in this diagram?,2
fbd_1559_q2,Basic Relational Reasoning,fbd_1559.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1559_q3,Comparative Reasoning,fbd_1559.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1559_q4,Compound Reasoning,fbd_1559.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 182.66, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 182.6622}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 182.6622}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1559_q5,Extrapolative/Counterfactual Reasoning,fbd_1559.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1560_q1,Image Description,fbd_1560.png,How many force arrows are shown in this diagram?,3
fbd_1560_q2,Basic Relational Reasoning,fbd_1560.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1560_q3,Comparative Reasoning,fbd_1560.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1560_q4,Compound Reasoning,fbd_1560.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 67.0, 'magnitude': 189.542903}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 67.0, 'magnitude': 265.360064}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1560_q5,Extrapolative/Counterfactual Reasoning,fbd_1560.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_1561_q1,Image Description,fbd_1561.png,How many force arrows are shown in this diagram?,4
fbd_1561_q2,Basic Relational Reasoning,fbd_1561.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1561_q3,Comparative Reasoning,fbd_1561.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1561_q4,Compound Reasoning,fbd_1561.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.63}"
fbd_1561_q5,Extrapolative/Counterfactual Reasoning,fbd_1561.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1562_q1,Image Description,fbd_1562.png,How many force arrows are shown in this diagram?,2
fbd_1562_q2,Basic Relational Reasoning,fbd_1562.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1562_q3,Comparative Reasoning,fbd_1562.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1562_q4,Compound Reasoning,fbd_1562.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 113.11}"
fbd_1562_q5,Extrapolative/Counterfactual Reasoning,fbd_1562.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1563_q1,Image Description,fbd_1563.png,How many force arrows are shown in this diagram?,4
fbd_1563_q2,Basic Relational Reasoning,fbd_1563.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1563_q3,Comparative Reasoning,fbd_1563.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1563_q4,Compound Reasoning,fbd_1563.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 201.2}"
fbd_1563_q5,Extrapolative/Counterfactual Reasoning,fbd_1563.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1564_q1,Image Description,fbd_1564.png,How many force arrows are shown in this diagram?,4
fbd_1564_q2,Basic Relational Reasoning,fbd_1564.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1564_q3,Comparative Reasoning,fbd_1564.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1564_q4,Compound Reasoning,fbd_1564.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 0.0}"
fbd_1564_q5,Extrapolative/Counterfactual Reasoning,fbd_1564.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1565_q1,Image Description,fbd_1565.png,How many force arrows are shown in this diagram?,2
fbd_1565_q2,Basic Relational Reasoning,fbd_1565.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1565_q3,Comparative Reasoning,fbd_1565.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1565_q4,Compound Reasoning,fbd_1565.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 215.53}"
fbd_1565_q5,Extrapolative/Counterfactual Reasoning,fbd_1565.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1566_q1,Image Description,fbd_1566.png,How many force arrows are shown in this diagram?,3
fbd_1566_q2,Basic Relational Reasoning,fbd_1566.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1566_q3,Comparative Reasoning,fbd_1566.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1566_q4,Compound Reasoning,fbd_1566.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53}"
fbd_1566_q5,Extrapolative/Counterfactual Reasoning,fbd_1566.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (242 degrees; 0=right, 90=up)"
fbd_1567_q1,Image Description,fbd_1567.png,How many force arrows are shown in this diagram?,4
fbd_1567_q2,Basic Relational Reasoning,fbd_1567.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1567_q3,Comparative Reasoning,fbd_1567.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1567_q4,Compound Reasoning,fbd_1567.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 48.29, 'required_friction_coefficient': 0.46}"
fbd_1567_q5,Extrapolative/Counterfactual Reasoning,fbd_1567.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1568_q1,Image Description,fbd_1568.png,How many force arrows are shown in this diagram?,2
fbd_1568_q2,Basic Relational Reasoning,fbd_1568.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1568_q3,Comparative Reasoning,fbd_1568.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1568_q4,Compound Reasoning,fbd_1568.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 41.6, 'tension_magnitude': 158.43}"
fbd_1568_q5,Extrapolative/Counterfactual Reasoning,fbd_1568.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1569_q1,Image Description,fbd_1569.png,How many force arrows are shown in this diagram?,4
fbd_1569_q2,Basic Relational Reasoning,fbd_1569.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1569_q3,Comparative Reasoning,fbd_1569.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1569_q4,Compound Reasoning,fbd_1569.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 24.17, 'tension_magnitude': 194.96}"
fbd_1569_q5,Extrapolative/Counterfactual Reasoning,fbd_1569.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1570_q1,Image Description,fbd_1570.png,How many force arrows are shown in this diagram?,4
fbd_1570_q2,Basic Relational Reasoning,fbd_1570.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1570_q3,Comparative Reasoning,fbd_1570.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1570_q4,Compound Reasoning,fbd_1570.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 39.44}"
fbd_1570_q5,Extrapolative/Counterfactual Reasoning,fbd_1570.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (341.5 degrees; 0=right, 90=up)"
fbd_1571_q1,Image Description,fbd_1571.png,How many force arrows are shown in this diagram?,2
fbd_1571_q2,Basic Relational Reasoning,fbd_1571.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1571_q3,Comparative Reasoning,fbd_1571.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1571_q4,Compound Reasoning,fbd_1571.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 16.23, 'support_force_magnitude': 70.3}"
fbd_1571_q5,Extrapolative/Counterfactual Reasoning,fbd_1571.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1572_q1,Image Description,fbd_1572.png,How many force arrows are shown in this diagram?,3
fbd_1572_q2,Basic Relational Reasoning,fbd_1572.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1572_q3,Comparative Reasoning,fbd_1572.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1572_q4,Compound Reasoning,fbd_1572.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 45.43, 'required_friction_coefficient': 0.21}"
fbd_1572_q5,Extrapolative/Counterfactual Reasoning,fbd_1572.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (258.1 degrees; 0=right, 90=up)"
fbd_1573_q1,Image Description,fbd_1573.png,How many force arrows are shown in this diagram?,3
fbd_1573_q2,Basic Relational Reasoning,fbd_1573.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1573_q3,Comparative Reasoning,fbd_1573.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1573_q4,Compound Reasoning,fbd_1573.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.71}"
fbd_1573_q5,Extrapolative/Counterfactual Reasoning,fbd_1573.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1574_q1,Image Description,fbd_1574.png,How many force arrows are shown in this diagram?,1
fbd_1574_q2,Basic Relational Reasoning,fbd_1574.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1574_q3,Comparative Reasoning,fbd_1574.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1574_q4,Compound Reasoning,fbd_1574.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 134.79}"
fbd_1574_q5,Extrapolative/Counterfactual Reasoning,fbd_1574.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1575_q1,Image Description,fbd_1575.png,How many force arrows are shown in this diagram?,3
fbd_1575_q2,Basic Relational Reasoning,fbd_1575.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1575_q3,Comparative Reasoning,fbd_1575.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1575_q4,Compound Reasoning,fbd_1575.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 208.46}"
fbd_1575_q5,Extrapolative/Counterfactual Reasoning,fbd_1575.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1576_q1,Image Description,fbd_1576.png,How many force arrows are shown in this diagram?,3
fbd_1576_q2,Basic Relational Reasoning,fbd_1576.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1576_q3,Comparative Reasoning,fbd_1576.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1576_q4,Compound Reasoning,fbd_1576.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0}"
fbd_1576_q5,Extrapolative/Counterfactual Reasoning,fbd_1576.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1577_q1,Image Description,fbd_1577.png,How many force arrows are shown in this diagram?,1
fbd_1577_q2,Basic Relational Reasoning,fbd_1577.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1577_q3,Comparative Reasoning,fbd_1577.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1577_q4,Compound Reasoning,fbd_1577.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 181.78}"
fbd_1577_q5,Extrapolative/Counterfactual Reasoning,fbd_1577.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1578_q1,Image Description,fbd_1578.png,How many force arrows are shown in this diagram?,2
fbd_1578_q2,Basic Relational Reasoning,fbd_1578.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1578_q3,Comparative Reasoning,fbd_1578.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1578_q4,Compound Reasoning,fbd_1578.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_1578_q5,Extrapolative/Counterfactual Reasoning,fbd_1578.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (241 degrees; 0=right, 90=up)"
fbd_1579_q1,Image Description,fbd_1579.png,How many force arrows are shown in this diagram?,4
fbd_1579_q2,Basic Relational Reasoning,fbd_1579.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1579_q3,Comparative Reasoning,fbd_1579.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1579_q4,Compound Reasoning,fbd_1579.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.64, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 126.0, 'magnitude': 169.998903}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 161.0, 'magnitude': 169.998903}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1579_q5,Extrapolative/Counterfactual Reasoning,fbd_1579.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1580_q1,Image Description,fbd_1580.png,How many force arrows are shown in this diagram?,2
fbd_1580_q2,Basic Relational Reasoning,fbd_1580.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1580_q3,Comparative Reasoning,fbd_1580.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1580_q4,Compound Reasoning,fbd_1580.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 184.13, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 184.1337}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 257.78718}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1580_q5,Extrapolative/Counterfactual Reasoning,fbd_1580.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1581_q1,Image Description,fbd_1581.png,How many force arrows are shown in this diagram?,4
fbd_1581_q2,Basic Relational Reasoning,fbd_1581.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1581_q3,Comparative Reasoning,fbd_1581.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1581_q4,Compound Reasoning,fbd_1581.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 162.36, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 162.3555}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 162.3555}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1581_q5,Extrapolative/Counterfactual Reasoning,fbd_1581.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1582_q1,Image Description,fbd_1582.png,How many force arrows are shown in this diagram?,4
fbd_1582_q2,Basic Relational Reasoning,fbd_1582.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1582_q3,Comparative Reasoning,fbd_1582.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1582_q4,Compound Reasoning,fbd_1582.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.67, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 135.16}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 189.224}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1582_q5,Extrapolative/Counterfactual Reasoning,fbd_1582.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1583_q1,Image Description,fbd_1583.png,How many force arrows are shown in this diagram?,2
fbd_1583_q2,Basic Relational Reasoning,fbd_1583.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1583_q3,Comparative Reasoning,fbd_1583.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1583_q4,Compound Reasoning,fbd_1583.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 125.27, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 125.2737}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 125.2737}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1583_q5,Extrapolative/Counterfactual Reasoning,fbd_1583.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1584_q1,Image Description,fbd_1584.png,How many force arrows are shown in this diagram?,3
fbd_1584_q2,Basic Relational Reasoning,fbd_1584.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1584_q3,Comparative Reasoning,fbd_1584.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1584_q4,Compound Reasoning,fbd_1584.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 69.0, 'magnitude': 174.010056}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 69.0, 'magnitude': 243.614078}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1584_q5,Extrapolative/Counterfactual Reasoning,fbd_1584.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_1585_q1,Image Description,fbd_1585.png,How many force arrows are shown in this diagram?,4
fbd_1585_q2,Basic Relational Reasoning,fbd_1585.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1585_q3,Comparative Reasoning,fbd_1585.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1585_q4,Compound Reasoning,fbd_1585.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.67}"
fbd_1585_q5,Extrapolative/Counterfactual Reasoning,fbd_1585.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1586_q1,Image Description,fbd_1586.png,How many force arrows are shown in this diagram?,2
fbd_1586_q2,Basic Relational Reasoning,fbd_1586.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1586_q3,Comparative Reasoning,fbd_1586.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1586_q4,Compound Reasoning,fbd_1586.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 117.23}"
fbd_1586_q5,Extrapolative/Counterfactual Reasoning,fbd_1586.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1587_q1,Image Description,fbd_1587.png,How many force arrows are shown in this diagram?,4
fbd_1587_q2,Basic Relational Reasoning,fbd_1587.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1587_q3,Comparative Reasoning,fbd_1587.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1587_q4,Compound Reasoning,fbd_1587.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 71.42}"
fbd_1587_q5,Extrapolative/Counterfactual Reasoning,fbd_1587.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1588_q1,Image Description,fbd_1588.png,How many force arrows are shown in this diagram?,4
fbd_1588_q2,Basic Relational Reasoning,fbd_1588.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1588_q3,Comparative Reasoning,fbd_1588.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1588_q4,Compound Reasoning,fbd_1588.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.72, 'net_force_N': 0.0}"
fbd_1588_q5,Extrapolative/Counterfactual Reasoning,fbd_1588.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1589_q1,Image Description,fbd_1589.png,How many force arrows are shown in this diagram?,2
fbd_1589_q2,Basic Relational Reasoning,fbd_1589.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1589_q3,Comparative Reasoning,fbd_1589.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1589_q4,Compound Reasoning,fbd_1589.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 67.2}"
fbd_1589_q5,Extrapolative/Counterfactual Reasoning,fbd_1589.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1590_q1,Image Description,fbd_1590.png,How many force arrows are shown in this diagram?,3
fbd_1590_q2,Basic Relational Reasoning,fbd_1590.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1590_q3,Comparative Reasoning,fbd_1590.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1590_q4,Compound Reasoning,fbd_1590.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_1590_q5,Extrapolative/Counterfactual Reasoning,fbd_1590.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_1591_q1,Image Description,fbd_1591.png,How many force arrows are shown in this diagram?,4
fbd_1591_q2,Basic Relational Reasoning,fbd_1591.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1591_q3,Comparative Reasoning,fbd_1591.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1591_q4,Compound Reasoning,fbd_1591.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 36.29, 'required_friction_coefficient': 0.46}"
fbd_1591_q5,Extrapolative/Counterfactual Reasoning,fbd_1591.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1592_q1,Image Description,fbd_1592.png,How many force arrows are shown in this diagram?,2
fbd_1592_q2,Basic Relational Reasoning,fbd_1592.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1592_q3,Comparative Reasoning,fbd_1592.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1592_q4,Compound Reasoning,fbd_1592.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 17.19, 'tension_magnitude': 99.94}"
fbd_1592_q5,Extrapolative/Counterfactual Reasoning,fbd_1592.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1593_q1,Image Description,fbd_1593.png,How many force arrows are shown in this diagram?,4
fbd_1593_q2,Basic Relational Reasoning,fbd_1593.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1593_q3,Comparative Reasoning,fbd_1593.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1593_q4,Compound Reasoning,fbd_1593.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 28.84, 'tension_magnitude': 155.2}"
fbd_1593_q5,Extrapolative/Counterfactual Reasoning,fbd_1593.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1594_q1,Image Description,fbd_1594.png,How many force arrows are shown in this diagram?,4
fbd_1594_q2,Basic Relational Reasoning,fbd_1594.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1594_q3,Comparative Reasoning,fbd_1594.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1594_q4,Compound Reasoning,fbd_1594.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 105.53}"
fbd_1594_q5,Extrapolative/Counterfactual Reasoning,fbd_1594.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (343.9 degrees; 0=right, 90=up)"
fbd_1595_q1,Image Description,fbd_1595.png,How many force arrows are shown in this diagram?,2
fbd_1595_q2,Basic Relational Reasoning,fbd_1595.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1595_q3,Comparative Reasoning,fbd_1595.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1595_q4,Compound Reasoning,fbd_1595.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 48.78, 'support_force_magnitude': 160.18}"
fbd_1595_q5,Extrapolative/Counterfactual Reasoning,fbd_1595.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1596_q1,Image Description,fbd_1596.png,How many force arrows are shown in this diagram?,3
fbd_1596_q2,Basic Relational Reasoning,fbd_1596.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1596_q3,Comparative Reasoning,fbd_1596.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1596_q4,Compound Reasoning,fbd_1596.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 21.51, 'required_friction_coefficient': 0.16}"
fbd_1596_q5,Extrapolative/Counterfactual Reasoning,fbd_1596.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (260.7 degrees; 0=right, 90=up)"
fbd_1597_q1,Image Description,fbd_1597.png,How many force arrows are shown in this diagram?,3
fbd_1597_q2,Basic Relational Reasoning,fbd_1597.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1597_q3,Comparative Reasoning,fbd_1597.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1597_q4,Compound Reasoning,fbd_1597.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_1597_q5,Extrapolative/Counterfactual Reasoning,fbd_1597.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1598_q1,Image Description,fbd_1598.png,How many force arrows are shown in this diagram?,1
fbd_1598_q2,Basic Relational Reasoning,fbd_1598.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1598_q3,Comparative Reasoning,fbd_1598.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1598_q4,Compound Reasoning,fbd_1598.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 214.64}"
fbd_1598_q5,Extrapolative/Counterfactual Reasoning,fbd_1598.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1599_q1,Image Description,fbd_1599.png,How many force arrows are shown in this diagram?,3
fbd_1599_q2,Basic Relational Reasoning,fbd_1599.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1599_q3,Comparative Reasoning,fbd_1599.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1599_q4,Compound Reasoning,fbd_1599.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 143.42}"
fbd_1599_q5,Extrapolative/Counterfactual Reasoning,fbd_1599.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1600_q1,Image Description,fbd_1600.png,How many force arrows are shown in this diagram?,3
fbd_1600_q2,Basic Relational Reasoning,fbd_1600.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1600_q3,Comparative Reasoning,fbd_1600.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1600_q4,Compound Reasoning,fbd_1600.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0}"
fbd_1600_q5,Extrapolative/Counterfactual Reasoning,fbd_1600.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1601_q1,Image Description,fbd_1601.png,How many force arrows are shown in this diagram?,1
fbd_1601_q2,Basic Relational Reasoning,fbd_1601.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1601_q3,Comparative Reasoning,fbd_1601.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1601_q4,Compound Reasoning,fbd_1601.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 120.56}"
fbd_1601_q5,Extrapolative/Counterfactual Reasoning,fbd_1601.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1602_q1,Image Description,fbd_1602.png,How many force arrows are shown in this diagram?,2
fbd_1602_q2,Basic Relational Reasoning,fbd_1602.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1602_q3,Comparative Reasoning,fbd_1602.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1602_q4,Compound Reasoning,fbd_1602.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36}"
fbd_1602_q5,Extrapolative/Counterfactual Reasoning,fbd_1602.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_1603_q1,Image Description,fbd_1603.png,How many force arrows are shown in this diagram?,4
fbd_1603_q2,Basic Relational Reasoning,fbd_1603.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1603_q3,Comparative Reasoning,fbd_1603.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1603_q4,Compound Reasoning,fbd_1603.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 115.0, 'magnitude': 126.78394}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 150.0, 'magnitude': 126.78394}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1603_q5,Extrapolative/Counterfactual Reasoning,fbd_1603.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1604_q1,Image Description,fbd_1604.png,How many force arrows are shown in this diagram?,2
fbd_1604_q2,Basic Relational Reasoning,fbd_1604.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1604_q3,Comparative Reasoning,fbd_1604.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1604_q4,Compound Reasoning,fbd_1604.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 62.69, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 62.6859}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 87.76026}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1604_q5,Extrapolative/Counterfactual Reasoning,fbd_1604.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1605_q1,Image Description,fbd_1605.png,How many force arrows are shown in this diagram?,4
fbd_1605_q2,Basic Relational Reasoning,fbd_1605.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1605_q3,Comparative Reasoning,fbd_1605.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1605_q4,Compound Reasoning,fbd_1605.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 80.05, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 80.0496}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 80.0496}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1605_q5,Extrapolative/Counterfactual Reasoning,fbd_1605.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1606_q1,Image Description,fbd_1606.png,How many force arrows are shown in this diagram?,4
fbd_1606_q2,Basic Relational Reasoning,fbd_1606.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1606_q3,Comparative Reasoning,fbd_1606.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1606_q4,Compound Reasoning,fbd_1606.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 222.65}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 311.71}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1606_q5,Extrapolative/Counterfactual Reasoning,fbd_1606.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1607_q1,Image Description,fbd_1607.png,How many force arrows are shown in this diagram?,2
fbd_1607_q2,Basic Relational Reasoning,fbd_1607.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1607_q3,Comparative Reasoning,fbd_1607.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1607_q4,Compound Reasoning,fbd_1607.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 200.81, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 200.8107}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 200.8107}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1607_q5,Extrapolative/Counterfactual Reasoning,fbd_1607.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1608_q1,Image Description,fbd_1608.png,How many force arrows are shown in this diagram?,3
fbd_1608_q2,Basic Relational Reasoning,fbd_1608.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1608_q3,Comparative Reasoning,fbd_1608.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1608_q4,Compound Reasoning,fbd_1608.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 65.0, 'magnitude': 78.951009}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 65.0, 'magnitude': 110.531413}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1608_q5,Extrapolative/Counterfactual Reasoning,fbd_1608.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_1609_q1,Image Description,fbd_1609.png,How many force arrows are shown in this diagram?,4
fbd_1609_q2,Basic Relational Reasoning,fbd_1609.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1609_q3,Comparative Reasoning,fbd_1609.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1609_q4,Compound Reasoning,fbd_1609.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_1609_q5,Extrapolative/Counterfactual Reasoning,fbd_1609.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1610_q1,Image Description,fbd_1610.png,How many force arrows are shown in this diagram?,2
fbd_1610_q2,Basic Relational Reasoning,fbd_1610.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1610_q3,Comparative Reasoning,fbd_1610.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1610_q4,Compound Reasoning,fbd_1610.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 104.87}"
fbd_1610_q5,Extrapolative/Counterfactual Reasoning,fbd_1610.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1611_q1,Image Description,fbd_1611.png,How many force arrows are shown in this diagram?,4
fbd_1611_q2,Basic Relational Reasoning,fbd_1611.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1611_q3,Comparative Reasoning,fbd_1611.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1611_q4,Compound Reasoning,fbd_1611.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 207.29}"
fbd_1611_q5,Extrapolative/Counterfactual Reasoning,fbd_1611.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1612_q1,Image Description,fbd_1612.png,How many force arrows are shown in this diagram?,4
fbd_1612_q2,Basic Relational Reasoning,fbd_1612.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1612_q3,Comparative Reasoning,fbd_1612.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1612_q4,Compound Reasoning,fbd_1612.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0}"
fbd_1612_q5,Extrapolative/Counterfactual Reasoning,fbd_1612.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1613_q1,Image Description,fbd_1613.png,How many force arrows are shown in this diagram?,2
fbd_1613_q2,Basic Relational Reasoning,fbd_1613.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1613_q3,Comparative Reasoning,fbd_1613.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1613_q4,Compound Reasoning,fbd_1613.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 111.83}"
fbd_1613_q5,Extrapolative/Counterfactual Reasoning,fbd_1613.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1614_q1,Image Description,fbd_1614.png,How many force arrows are shown in this diagram?,3
fbd_1614_q2,Basic Relational Reasoning,fbd_1614.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1614_q3,Comparative Reasoning,fbd_1614.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1614_q4,Compound Reasoning,fbd_1614.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34}"
fbd_1614_q5,Extrapolative/Counterfactual Reasoning,fbd_1614.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_1615_q1,Image Description,fbd_1615.png,How many force arrows are shown in this diagram?,4
fbd_1615_q2,Basic Relational Reasoning,fbd_1615.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1615_q3,Comparative Reasoning,fbd_1615.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1615_q4,Compound Reasoning,fbd_1615.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 43.63, 'required_friction_coefficient': 0.65}"
fbd_1615_q5,Extrapolative/Counterfactual Reasoning,fbd_1615.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1616_q1,Image Description,fbd_1616.png,How many force arrows are shown in this diagram?,2
fbd_1616_q2,Basic Relational Reasoning,fbd_1616.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1616_q3,Comparative Reasoning,fbd_1616.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1616_q4,Compound Reasoning,fbd_1616.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 19.5, 'tension_magnitude': 127.65}"
fbd_1616_q5,Extrapolative/Counterfactual Reasoning,fbd_1616.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1617_q1,Image Description,fbd_1617.png,How many force arrows are shown in this diagram?,4
fbd_1617_q2,Basic Relational Reasoning,fbd_1617.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1617_q3,Comparative Reasoning,fbd_1617.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1617_q4,Compound Reasoning,fbd_1617.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 31.7, 'tension_magnitude': 222.7}"
fbd_1617_q5,Extrapolative/Counterfactual Reasoning,fbd_1617.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1618_q1,Image Description,fbd_1618.png,How many force arrows are shown in this diagram?,4
fbd_1618_q2,Basic Relational Reasoning,fbd_1618.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1618_q3,Comparative Reasoning,fbd_1618.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1618_q4,Compound Reasoning,fbd_1618.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.72, 'net_force_N': 72.43}"
fbd_1618_q5,Extrapolative/Counterfactual Reasoning,fbd_1618.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (342.8 degrees; 0=right, 90=up)"
fbd_1619_q1,Image Description,fbd_1619.png,How many force arrows are shown in this diagram?,2
fbd_1619_q2,Basic Relational Reasoning,fbd_1619.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1619_q3,Comparative Reasoning,fbd_1619.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1619_q4,Compound Reasoning,fbd_1619.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 10.28, 'support_force_magnitude': 77.09}"
fbd_1619_q5,Extrapolative/Counterfactual Reasoning,fbd_1619.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1620_q1,Image Description,fbd_1620.png,How many force arrows are shown in this diagram?,3
fbd_1620_q2,Basic Relational Reasoning,fbd_1620.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1620_q3,Comparative Reasoning,fbd_1620.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1620_q4,Compound Reasoning,fbd_1620.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 45.52, 'required_friction_coefficient': 0.11}"
fbd_1620_q5,Extrapolative/Counterfactual Reasoning,fbd_1620.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (263.7 degrees; 0=right, 90=up)"
fbd_1621_q1,Image Description,fbd_1621.png,How many force arrows are shown in this diagram?,3
fbd_1621_q2,Basic Relational Reasoning,fbd_1621.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1621_q3,Comparative Reasoning,fbd_1621.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1621_q4,Compound Reasoning,fbd_1621.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.63}"
fbd_1621_q5,Extrapolative/Counterfactual Reasoning,fbd_1621.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1622_q1,Image Description,fbd_1622.png,How many force arrows are shown in this diagram?,1
fbd_1622_q2,Basic Relational Reasoning,fbd_1622.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1622_q3,Comparative Reasoning,fbd_1622.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1622_q4,Compound Reasoning,fbd_1622.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 129.1}"
fbd_1622_q5,Extrapolative/Counterfactual Reasoning,fbd_1622.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1623_q1,Image Description,fbd_1623.png,How many force arrows are shown in this diagram?,3
fbd_1623_q2,Basic Relational Reasoning,fbd_1623.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1623_q3,Comparative Reasoning,fbd_1623.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1623_q4,Compound Reasoning,fbd_1623.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 197.57}"
fbd_1623_q5,Extrapolative/Counterfactual Reasoning,fbd_1623.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1624_q1,Image Description,fbd_1624.png,How many force arrows are shown in this diagram?,3
fbd_1624_q2,Basic Relational Reasoning,fbd_1624.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1624_q3,Comparative Reasoning,fbd_1624.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1624_q4,Compound Reasoning,fbd_1624.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.74, 'net_force_N': 0.0}"
fbd_1624_q5,Extrapolative/Counterfactual Reasoning,fbd_1624.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1625_q1,Image Description,fbd_1625.png,How many force arrows are shown in this diagram?,1
fbd_1625_q2,Basic Relational Reasoning,fbd_1625.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1625_q3,Comparative Reasoning,fbd_1625.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1625_q4,Compound Reasoning,fbd_1625.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 110.17}"
fbd_1625_q5,Extrapolative/Counterfactual Reasoning,fbd_1625.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1626_q1,Image Description,fbd_1626.png,How many force arrows are shown in this diagram?,2
fbd_1626_q2,Basic Relational Reasoning,fbd_1626.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1626_q3,Comparative Reasoning,fbd_1626.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1626_q4,Compound Reasoning,fbd_1626.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.32}"
fbd_1626_q5,Extrapolative/Counterfactual Reasoning,fbd_1626.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_1627_q1,Image Description,fbd_1627.png,How many force arrows are shown in this diagram?,4
fbd_1627_q2,Basic Relational Reasoning,fbd_1627.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1627_q3,Comparative Reasoning,fbd_1627.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1627_q4,Compound Reasoning,fbd_1627.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.52, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 121.0, 'magnitude': 97.962651}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 156.0, 'magnitude': 97.962651}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1627_q5,Extrapolative/Counterfactual Reasoning,fbd_1627.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1628_q1,Image Description,fbd_1628.png,How many force arrows are shown in this diagram?,2
fbd_1628_q2,Basic Relational Reasoning,fbd_1628.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1628_q3,Comparative Reasoning,fbd_1628.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1628_q4,Compound Reasoning,fbd_1628.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 74.85, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 74.8503}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 104.79042}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1628_q5,Extrapolative/Counterfactual Reasoning,fbd_1628.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1629_q1,Image Description,fbd_1629.png,How many force arrows are shown in this diagram?,4
fbd_1629_q2,Basic Relational Reasoning,fbd_1629.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1629_q3,Comparative Reasoning,fbd_1629.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1629_q4,Compound Reasoning,fbd_1629.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 155.78, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 155.7828}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 155.7828}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1629_q5,Extrapolative/Counterfactual Reasoning,fbd_1629.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1630_q1,Image Description,fbd_1630.png,How many force arrows are shown in this diagram?,4
fbd_1630_q2,Basic Relational Reasoning,fbd_1630.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1630_q3,Comparative Reasoning,fbd_1630.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1630_q4,Compound Reasoning,fbd_1630.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.67, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 99.56}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 139.384}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1630_q5,Extrapolative/Counterfactual Reasoning,fbd_1630.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1631_q1,Image Description,fbd_1631.png,How many force arrows are shown in this diagram?,2
fbd_1631_q2,Basic Relational Reasoning,fbd_1631.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1631_q3,Comparative Reasoning,fbd_1631.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1631_q4,Compound Reasoning,fbd_1631.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 202.77, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 202.7727}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 202.7727}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1631_q5,Extrapolative/Counterfactual Reasoning,fbd_1631.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1632_q1,Image Description,fbd_1632.png,How many force arrows are shown in this diagram?,3
fbd_1632_q2,Basic Relational Reasoning,fbd_1632.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1632_q3,Comparative Reasoning,fbd_1632.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1632_q4,Compound Reasoning,fbd_1632.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 65.0, 'magnitude': 81.707182}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 65.0, 'magnitude': 114.390055}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1632_q5,Extrapolative/Counterfactual Reasoning,fbd_1632.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_1633_q1,Image Description,fbd_1633.png,How many force arrows are shown in this diagram?,4
fbd_1633_q2,Basic Relational Reasoning,fbd_1633.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1633_q3,Comparative Reasoning,fbd_1633.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1633_q4,Compound Reasoning,fbd_1633.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.63}"
fbd_1633_q5,Extrapolative/Counterfactual Reasoning,fbd_1633.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1634_q1,Image Description,fbd_1634.png,How many force arrows are shown in this diagram?,2
fbd_1634_q2,Basic Relational Reasoning,fbd_1634.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1634_q3,Comparative Reasoning,fbd_1634.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1634_q4,Compound Reasoning,fbd_1634.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 177.76}"
fbd_1634_q5,Extrapolative/Counterfactual Reasoning,fbd_1634.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1635_q1,Image Description,fbd_1635.png,How many force arrows are shown in this diagram?,4
fbd_1635_q2,Basic Relational Reasoning,fbd_1635.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1635_q3,Comparative Reasoning,fbd_1635.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1635_q4,Compound Reasoning,fbd_1635.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 185.31}"
fbd_1635_q5,Extrapolative/Counterfactual Reasoning,fbd_1635.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1636_q1,Image Description,fbd_1636.png,How many force arrows are shown in this diagram?,4
fbd_1636_q2,Basic Relational Reasoning,fbd_1636.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1636_q3,Comparative Reasoning,fbd_1636.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1636_q4,Compound Reasoning,fbd_1636.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0}"
fbd_1636_q5,Extrapolative/Counterfactual Reasoning,fbd_1636.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1637_q1,Image Description,fbd_1637.png,How many force arrows are shown in this diagram?,2
fbd_1637_q2,Basic Relational Reasoning,fbd_1637.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1637_q3,Comparative Reasoning,fbd_1637.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1637_q4,Compound Reasoning,fbd_1637.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 202.77}"
fbd_1637_q5,Extrapolative/Counterfactual Reasoning,fbd_1637.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1638_q1,Image Description,fbd_1638.png,How many force arrows are shown in this diagram?,3
fbd_1638_q2,Basic Relational Reasoning,fbd_1638.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1638_q3,Comparative Reasoning,fbd_1638.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1638_q4,Compound Reasoning,fbd_1638.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53}"
fbd_1638_q5,Extrapolative/Counterfactual Reasoning,fbd_1638.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (242 degrees; 0=right, 90=up)"
fbd_1639_q1,Image Description,fbd_1639.png,How many force arrows are shown in this diagram?,4
fbd_1639_q2,Basic Relational Reasoning,fbd_1639.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1639_q3,Comparative Reasoning,fbd_1639.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1639_q4,Compound Reasoning,fbd_1639.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 28.71, 'required_friction_coefficient': 0.64}"
fbd_1639_q5,Extrapolative/Counterfactual Reasoning,fbd_1639.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1640_q1,Image Description,fbd_1640.png,How many force arrows are shown in this diagram?,2
fbd_1640_q2,Basic Relational Reasoning,fbd_1640.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1640_q3,Comparative Reasoning,fbd_1640.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1640_q4,Compound Reasoning,fbd_1640.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 32.33, 'tension_magnitude': 151.02}"
fbd_1640_q5,Extrapolative/Counterfactual Reasoning,fbd_1640.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1641_q1,Image Description,fbd_1641.png,How many force arrows are shown in this diagram?,4
fbd_1641_q2,Basic Relational Reasoning,fbd_1641.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1641_q3,Comparative Reasoning,fbd_1641.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1641_q4,Compound Reasoning,fbd_1641.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 24.22, 'tension_magnitude': 207.67}"
fbd_1641_q5,Extrapolative/Counterfactual Reasoning,fbd_1641.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1642_q1,Image Description,fbd_1642.png,How many force arrows are shown in this diagram?,4
fbd_1642_q2,Basic Relational Reasoning,fbd_1642.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1642_q3,Comparative Reasoning,fbd_1642.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1642_q4,Compound Reasoning,fbd_1642.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 125.88}"
fbd_1642_q5,Extrapolative/Counterfactual Reasoning,fbd_1642.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (338.8 degrees; 0=right, 90=up)"
fbd_1643_q1,Image Description,fbd_1643.png,How many force arrows are shown in this diagram?,2
fbd_1643_q2,Basic Relational Reasoning,fbd_1643.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1643_q3,Comparative Reasoning,fbd_1643.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1643_q4,Compound Reasoning,fbd_1643.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 60.23, 'support_force_magnitude': 263.99}"
fbd_1643_q5,Extrapolative/Counterfactual Reasoning,fbd_1643.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1644_q1,Image Description,fbd_1644.png,How many force arrows are shown in this diagram?,3
fbd_1644_q2,Basic Relational Reasoning,fbd_1644.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1644_q3,Comparative Reasoning,fbd_1644.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1644_q4,Compound Reasoning,fbd_1644.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 21.83, 'required_friction_coefficient': 0.35}"
fbd_1644_q5,Extrapolative/Counterfactual Reasoning,fbd_1644.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250.5 degrees; 0=right, 90=up)"
fbd_1645_q1,Image Description,fbd_1645.png,How many force arrows are shown in this diagram?,3
fbd_1645_q2,Basic Relational Reasoning,fbd_1645.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1645_q3,Comparative Reasoning,fbd_1645.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1645_q4,Compound Reasoning,fbd_1645.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_1645_q5,Extrapolative/Counterfactual Reasoning,fbd_1645.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1646_q1,Image Description,fbd_1646.png,How many force arrows are shown in this diagram?,1
fbd_1646_q2,Basic Relational Reasoning,fbd_1646.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1646_q3,Comparative Reasoning,fbd_1646.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1646_q4,Compound Reasoning,fbd_1646.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 123.61}"
fbd_1646_q5,Extrapolative/Counterfactual Reasoning,fbd_1646.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1647_q1,Image Description,fbd_1647.png,How many force arrows are shown in this diagram?,3
fbd_1647_q2,Basic Relational Reasoning,fbd_1647.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1647_q3,Comparative Reasoning,fbd_1647.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1647_q4,Compound Reasoning,fbd_1647.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 128.81}"
fbd_1647_q5,Extrapolative/Counterfactual Reasoning,fbd_1647.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1648_q1,Image Description,fbd_1648.png,How many force arrows are shown in this diagram?,3
fbd_1648_q2,Basic Relational Reasoning,fbd_1648.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1648_q3,Comparative Reasoning,fbd_1648.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1648_q4,Compound Reasoning,fbd_1648.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0}"
fbd_1648_q5,Extrapolative/Counterfactual Reasoning,fbd_1648.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1649_q1,Image Description,fbd_1649.png,How many force arrows are shown in this diagram?,1
fbd_1649_q2,Basic Relational Reasoning,fbd_1649.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1649_q3,Comparative Reasoning,fbd_1649.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1649_q4,Compound Reasoning,fbd_1649.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 204.05}"
fbd_1649_q5,Extrapolative/Counterfactual Reasoning,fbd_1649.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1650_q1,Image Description,fbd_1650.png,How many force arrows are shown in this diagram?,2
fbd_1650_q2,Basic Relational Reasoning,fbd_1650.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1650_q3,Comparative Reasoning,fbd_1650.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1650_q4,Compound Reasoning,fbd_1650.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38}"
fbd_1650_q5,Extrapolative/Counterfactual Reasoning,fbd_1650.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_1651_q1,Image Description,fbd_1651.png,How many force arrows are shown in this diagram?,4
fbd_1651_q2,Basic Relational Reasoning,fbd_1651.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1651_q3,Comparative Reasoning,fbd_1651.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1651_q4,Compound Reasoning,fbd_1651.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.46, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 119.0, 'magnitude': 51.480116}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 154.0, 'magnitude': 51.480116}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1651_q5,Extrapolative/Counterfactual Reasoning,fbd_1651.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1652_q1,Image Description,fbd_1652.png,How many force arrows are shown in this diagram?,2
fbd_1652_q2,Basic Relational Reasoning,fbd_1652.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1652_q3,Comparative Reasoning,fbd_1652.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1652_q4,Compound Reasoning,fbd_1652.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 114.48, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 114.4827}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 160.27578}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1652_q5,Extrapolative/Counterfactual Reasoning,fbd_1652.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1653_q1,Image Description,fbd_1653.png,How many force arrows are shown in this diagram?,4
fbd_1653_q2,Basic Relational Reasoning,fbd_1653.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1653_q3,Comparative Reasoning,fbd_1653.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1653_q4,Compound Reasoning,fbd_1653.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 194.14, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 194.1399}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 194.1399}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1653_q5,Extrapolative/Counterfactual Reasoning,fbd_1653.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1654_q1,Image Description,fbd_1654.png,How many force arrows are shown in this diagram?,4
fbd_1654_q2,Basic Relational Reasoning,fbd_1654.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1654_q3,Comparative Reasoning,fbd_1654.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1654_q4,Compound Reasoning,fbd_1654.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 181.52}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 254.128}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1654_q5,Extrapolative/Counterfactual Reasoning,fbd_1654.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1655_q1,Image Description,fbd_1655.png,How many force arrows are shown in this diagram?,2
fbd_1655_q2,Basic Relational Reasoning,fbd_1655.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1655_q3,Comparative Reasoning,fbd_1655.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1655_q4,Compound Reasoning,fbd_1655.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 138.03, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 138.0267}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 138.0267}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1655_q5,Extrapolative/Counterfactual Reasoning,fbd_1655.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1656_q1,Image Description,fbd_1656.png,How many force arrows are shown in this diagram?,3
fbd_1656_q2,Basic Relational Reasoning,fbd_1656.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1656_q3,Comparative Reasoning,fbd_1656.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1656_q4,Compound Reasoning,fbd_1656.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 62.0, 'magnitude': 186.226892}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 62.0, 'magnitude': 260.717649}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1656_q5,Extrapolative/Counterfactual Reasoning,fbd_1656.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (242 degrees; 0=right, 90=up)"
fbd_1657_q1,Image Description,fbd_1657.png,How many force arrows are shown in this diagram?,4
fbd_1657_q2,Basic Relational Reasoning,fbd_1657.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1657_q3,Comparative Reasoning,fbd_1657.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1657_q4,Compound Reasoning,fbd_1657.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_1657_q5,Extrapolative/Counterfactual Reasoning,fbd_1657.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1658_q1,Image Description,fbd_1658.png,How many force arrows are shown in this diagram?,2
fbd_1658_q2,Basic Relational Reasoning,fbd_1658.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1658_q3,Comparative Reasoning,fbd_1658.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1658_q4,Compound Reasoning,fbd_1658.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 185.21}"
fbd_1658_q5,Extrapolative/Counterfactual Reasoning,fbd_1658.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1659_q1,Image Description,fbd_1659.png,How many force arrows are shown in this diagram?,4
fbd_1659_q2,Basic Relational Reasoning,fbd_1659.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1659_q3,Comparative Reasoning,fbd_1659.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1659_q4,Compound Reasoning,fbd_1659.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 128.71}"
fbd_1659_q5,Extrapolative/Counterfactual Reasoning,fbd_1659.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1660_q1,Image Description,fbd_1660.png,How many force arrows are shown in this diagram?,4
fbd_1660_q2,Basic Relational Reasoning,fbd_1660.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1660_q3,Comparative Reasoning,fbd_1660.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1660_q4,Compound Reasoning,fbd_1660.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.68, 'net_force_N': 0.0}"
fbd_1660_q5,Extrapolative/Counterfactual Reasoning,fbd_1660.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1661_q1,Image Description,fbd_1661.png,How many force arrows are shown in this diagram?,2
fbd_1661_q2,Basic Relational Reasoning,fbd_1661.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1661_q3,Comparative Reasoning,fbd_1661.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1661_q4,Compound Reasoning,fbd_1661.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 196.49}"
fbd_1661_q5,Extrapolative/Counterfactual Reasoning,fbd_1661.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1662_q1,Image Description,fbd_1662.png,How many force arrows are shown in this diagram?,3
fbd_1662_q2,Basic Relational Reasoning,fbd_1662.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1662_q3,Comparative Reasoning,fbd_1662.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1662_q4,Compound Reasoning,fbd_1662.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36}"
fbd_1662_q5,Extrapolative/Counterfactual Reasoning,fbd_1662.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_1663_q1,Image Description,fbd_1663.png,How many force arrows are shown in this diagram?,4
fbd_1663_q2,Basic Relational Reasoning,fbd_1663.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1663_q3,Comparative Reasoning,fbd_1663.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1663_q4,Compound Reasoning,fbd_1663.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 43.59, 'required_friction_coefficient': 0.43}"
fbd_1663_q5,Extrapolative/Counterfactual Reasoning,fbd_1663.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1664_q1,Image Description,fbd_1664.png,How many force arrows are shown in this diagram?,2
fbd_1664_q2,Basic Relational Reasoning,fbd_1664.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1664_q3,Comparative Reasoning,fbd_1664.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1664_q4,Compound Reasoning,fbd_1664.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 47.11, 'tension_magnitude': 129.28}"
fbd_1664_q5,Extrapolative/Counterfactual Reasoning,fbd_1664.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1665_q1,Image Description,fbd_1665.png,How many force arrows are shown in this diagram?,4
fbd_1665_q2,Basic Relational Reasoning,fbd_1665.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1665_q3,Comparative Reasoning,fbd_1665.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1665_q4,Compound Reasoning,fbd_1665.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 15.02, 'tension_magnitude': 158.34}"
fbd_1665_q5,Extrapolative/Counterfactual Reasoning,fbd_1665.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1666_q1,Image Description,fbd_1666.png,How many force arrows are shown in this diagram?,4
fbd_1666_q2,Basic Relational Reasoning,fbd_1666.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1666_q3,Comparative Reasoning,fbd_1666.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1666_q4,Compound Reasoning,fbd_1666.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 61.14}"
fbd_1666_q5,Extrapolative/Counterfactual Reasoning,fbd_1666.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (346.7 degrees; 0=right, 90=up)"
fbd_1667_q1,Image Description,fbd_1667.png,How many force arrows are shown in this diagram?,2
fbd_1667_q2,Basic Relational Reasoning,fbd_1667.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1667_q3,Comparative Reasoning,fbd_1667.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1667_q4,Compound Reasoning,fbd_1667.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 34.76, 'support_force_magnitude': 226.35}"
fbd_1667_q5,Extrapolative/Counterfactual Reasoning,fbd_1667.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1668_q1,Image Description,fbd_1668.png,How many force arrows are shown in this diagram?,3
fbd_1668_q2,Basic Relational Reasoning,fbd_1668.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1668_q3,Comparative Reasoning,fbd_1668.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1668_q4,Compound Reasoning,fbd_1668.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 26.07, 'required_friction_coefficient': 0.27}"
fbd_1668_q5,Extrapolative/Counterfactual Reasoning,fbd_1668.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254.9 degrees; 0=right, 90=up)"
fbd_1669_q1,Image Description,fbd_1669.png,How many force arrows are shown in this diagram?,3
fbd_1669_q2,Basic Relational Reasoning,fbd_1669.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1669_q3,Comparative Reasoning,fbd_1669.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1669_q4,Compound Reasoning,fbd_1669.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.67}"
fbd_1669_q5,Extrapolative/Counterfactual Reasoning,fbd_1669.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1670_q1,Image Description,fbd_1670.png,How many force arrows are shown in this diagram?,1
fbd_1670_q2,Basic Relational Reasoning,fbd_1670.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1670_q3,Comparative Reasoning,fbd_1670.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1670_q4,Compound Reasoning,fbd_1670.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 182.56}"
fbd_1670_q5,Extrapolative/Counterfactual Reasoning,fbd_1670.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1671_q1,Image Description,fbd_1671.png,How many force arrows are shown in this diagram?,3
fbd_1671_q2,Basic Relational Reasoning,fbd_1671.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1671_q3,Comparative Reasoning,fbd_1671.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1671_q4,Compound Reasoning,fbd_1671.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 103.79}"
fbd_1671_q5,Extrapolative/Counterfactual Reasoning,fbd_1671.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1672_q1,Image Description,fbd_1672.png,How many force arrows are shown in this diagram?,3
fbd_1672_q2,Basic Relational Reasoning,fbd_1672.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1672_q3,Comparative Reasoning,fbd_1672.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1672_q4,Compound Reasoning,fbd_1672.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.68, 'net_force_N': 0.0}"
fbd_1672_q5,Extrapolative/Counterfactual Reasoning,fbd_1672.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1673_q1,Image Description,fbd_1673.png,How many force arrows are shown in this diagram?,1
fbd_1673_q2,Basic Relational Reasoning,fbd_1673.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1673_q3,Comparative Reasoning,fbd_1673.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1673_q4,Compound Reasoning,fbd_1673.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 106.54}"
fbd_1673_q5,Extrapolative/Counterfactual Reasoning,fbd_1673.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1674_q1,Image Description,fbd_1674.png,How many force arrows are shown in this diagram?,2
fbd_1674_q2,Basic Relational Reasoning,fbd_1674.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1674_q3,Comparative Reasoning,fbd_1674.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1674_q4,Compound Reasoning,fbd_1674.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38}"
fbd_1674_q5,Extrapolative/Counterfactual Reasoning,fbd_1674.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_1675_q1,Image Description,fbd_1675.png,How many force arrows are shown in this diagram?,4
fbd_1675_q2,Basic Relational Reasoning,fbd_1675.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1675_q3,Comparative Reasoning,fbd_1675.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1675_q4,Compound Reasoning,fbd_1675.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.44, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 116.0, 'magnitude': 89.494271}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 151.0, 'magnitude': 89.494271}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1675_q5,Extrapolative/Counterfactual Reasoning,fbd_1675.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1676_q1,Image Description,fbd_1676.png,How many force arrows are shown in this diagram?,2
fbd_1676_q2,Basic Relational Reasoning,fbd_1676.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1676_q3,Comparative Reasoning,fbd_1676.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1676_q4,Compound Reasoning,fbd_1676.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 63.18, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 63.1764}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 88.44696}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1676_q5,Extrapolative/Counterfactual Reasoning,fbd_1676.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1677_q1,Image Description,fbd_1677.png,How many force arrows are shown in this diagram?,4
fbd_1677_q2,Basic Relational Reasoning,fbd_1677.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1677_q3,Comparative Reasoning,fbd_1677.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1677_q4,Compound Reasoning,fbd_1677.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 168.24, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 168.2415}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 168.2415}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1677_q5,Extrapolative/Counterfactual Reasoning,fbd_1677.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1678_q1,Image Description,fbd_1678.png,How many force arrows are shown in this diagram?,4
fbd_1678_q2,Basic Relational Reasoning,fbd_1678.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1678_q3,Comparative Reasoning,fbd_1678.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1678_q4,Compound Reasoning,fbd_1678.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 166.1}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 232.54}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1678_q5,Extrapolative/Counterfactual Reasoning,fbd_1678.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1679_q1,Image Description,fbd_1679.png,How many force arrows are shown in this diagram?,2
fbd_1679_q2,Basic Relational Reasoning,fbd_1679.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1679_q3,Comparative Reasoning,fbd_1679.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1679_q4,Compound Reasoning,fbd_1679.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 73.28, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 73.2807}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 73.2807}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1679_q5,Extrapolative/Counterfactual Reasoning,fbd_1679.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1680_q1,Image Description,fbd_1680.png,How many force arrows are shown in this diagram?,3
fbd_1680_q2,Basic Relational Reasoning,fbd_1680.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1680_q3,Comparative Reasoning,fbd_1680.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1680_q4,Compound Reasoning,fbd_1680.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 70.0, 'magnitude': 98.821083}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 70.0, 'magnitude': 138.349516}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1680_q5,Extrapolative/Counterfactual Reasoning,fbd_1680.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_1681_q1,Image Description,fbd_1681.png,How many force arrows are shown in this diagram?,4
fbd_1681_q2,Basic Relational Reasoning,fbd_1681.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1681_q3,Comparative Reasoning,fbd_1681.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1681_q4,Compound Reasoning,fbd_1681.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.67}"
fbd_1681_q5,Extrapolative/Counterfactual Reasoning,fbd_1681.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1682_q1,Image Description,fbd_1682.png,How many force arrows are shown in this diagram?,2
fbd_1682_q2,Basic Relational Reasoning,fbd_1682.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1682_q3,Comparative Reasoning,fbd_1682.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1682_q4,Compound Reasoning,fbd_1682.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 114.97}"
fbd_1682_q5,Extrapolative/Counterfactual Reasoning,fbd_1682.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1683_q1,Image Description,fbd_1683.png,How many force arrows are shown in this diagram?,4
fbd_1683_q2,Basic Relational Reasoning,fbd_1683.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1683_q3,Comparative Reasoning,fbd_1683.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1683_q4,Compound Reasoning,fbd_1683.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 204.44}"
fbd_1683_q5,Extrapolative/Counterfactual Reasoning,fbd_1683.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1684_q1,Image Description,fbd_1684.png,How many force arrows are shown in this diagram?,4
fbd_1684_q2,Basic Relational Reasoning,fbd_1684.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1684_q3,Comparative Reasoning,fbd_1684.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1684_q4,Compound Reasoning,fbd_1684.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0}"
fbd_1684_q5,Extrapolative/Counterfactual Reasoning,fbd_1684.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1685_q1,Image Description,fbd_1685.png,How many force arrows are shown in this diagram?,2
fbd_1685_q2,Basic Relational Reasoning,fbd_1685.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1685_q3,Comparative Reasoning,fbd_1685.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1685_q4,Compound Reasoning,fbd_1685.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 145.87}"
fbd_1685_q5,Extrapolative/Counterfactual Reasoning,fbd_1685.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1686_q1,Image Description,fbd_1686.png,How many force arrows are shown in this diagram?,3
fbd_1686_q2,Basic Relational Reasoning,fbd_1686.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1686_q3,Comparative Reasoning,fbd_1686.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1686_q4,Compound Reasoning,fbd_1686.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29}"
fbd_1686_q5,Extrapolative/Counterfactual Reasoning,fbd_1686.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_1687_q1,Image Description,fbd_1687.png,How many force arrows are shown in this diagram?,4
fbd_1687_q2,Basic Relational Reasoning,fbd_1687.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1687_q3,Comparative Reasoning,fbd_1687.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1687_q4,Compound Reasoning,fbd_1687.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 48.98, 'required_friction_coefficient': 0.44}"
fbd_1687_q5,Extrapolative/Counterfactual Reasoning,fbd_1687.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1688_q1,Image Description,fbd_1688.png,How many force arrows are shown in this diagram?,2
fbd_1688_q2,Basic Relational Reasoning,fbd_1688.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1688_q3,Comparative Reasoning,fbd_1688.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1688_q4,Compound Reasoning,fbd_1688.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 23.31, 'tension_magnitude': 149.93}"
fbd_1688_q5,Extrapolative/Counterfactual Reasoning,fbd_1688.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1689_q1,Image Description,fbd_1689.png,How many force arrows are shown in this diagram?,4
fbd_1689_q2,Basic Relational Reasoning,fbd_1689.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1689_q3,Comparative Reasoning,fbd_1689.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1689_q4,Compound Reasoning,fbd_1689.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 33.58, 'tension_magnitude': 181.91}"
fbd_1689_q5,Extrapolative/Counterfactual Reasoning,fbd_1689.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1690_q1,Image Description,fbd_1690.png,How many force arrows are shown in this diagram?,4
fbd_1690_q2,Basic Relational Reasoning,fbd_1690.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1690_q3,Comparative Reasoning,fbd_1690.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1690_q4,Compound Reasoning,fbd_1690.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 31.62}"
fbd_1690_q5,Extrapolative/Counterfactual Reasoning,fbd_1690.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (344.1 degrees; 0=right, 90=up)"
fbd_1691_q1,Image Description,fbd_1691.png,How many force arrows are shown in this diagram?,2
fbd_1691_q2,Basic Relational Reasoning,fbd_1691.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1691_q3,Comparative Reasoning,fbd_1691.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1691_q4,Compound Reasoning,fbd_1691.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 23.59, 'support_force_magnitude': 122.09}"
fbd_1691_q5,Extrapolative/Counterfactual Reasoning,fbd_1691.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1692_q1,Image Description,fbd_1692.png,How many force arrows are shown in this diagram?,3
fbd_1692_q2,Basic Relational Reasoning,fbd_1692.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1692_q3,Comparative Reasoning,fbd_1692.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1692_q4,Compound Reasoning,fbd_1692.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 41.0, 'required_friction_coefficient': 0.24}"
fbd_1692_q5,Extrapolative/Counterfactual Reasoning,fbd_1692.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (256.7 degrees; 0=right, 90=up)"
fbd_1693_q1,Image Description,fbd_1693.png,How many force arrows are shown in this diagram?,3
fbd_1693_q2,Basic Relational Reasoning,fbd_1693.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1693_q3,Comparative Reasoning,fbd_1693.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1693_q4,Compound Reasoning,fbd_1693.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.46}"
fbd_1693_q5,Extrapolative/Counterfactual Reasoning,fbd_1693.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1694_q1,Image Description,fbd_1694.png,How many force arrows are shown in this diagram?,1
fbd_1694_q2,Basic Relational Reasoning,fbd_1694.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1694_q3,Comparative Reasoning,fbd_1694.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1694_q4,Compound Reasoning,fbd_1694.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 157.45}"
fbd_1694_q5,Extrapolative/Counterfactual Reasoning,fbd_1694.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1695_q1,Image Description,fbd_1695.png,How many force arrows are shown in this diagram?,3
fbd_1695_q2,Basic Relational Reasoning,fbd_1695.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1695_q3,Comparative Reasoning,fbd_1695.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1695_q4,Compound Reasoning,fbd_1695.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 73.48}"
fbd_1695_q5,Extrapolative/Counterfactual Reasoning,fbd_1695.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1696_q1,Image Description,fbd_1696.png,How many force arrows are shown in this diagram?,3
fbd_1696_q2,Basic Relational Reasoning,fbd_1696.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1696_q3,Comparative Reasoning,fbd_1696.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1696_q4,Compound Reasoning,fbd_1696.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 0.0}"
fbd_1696_q5,Extrapolative/Counterfactual Reasoning,fbd_1696.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1697_q1,Image Description,fbd_1697.png,How many force arrows are shown in this diagram?,1
fbd_1697_q2,Basic Relational Reasoning,fbd_1697.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1697_q3,Comparative Reasoning,fbd_1697.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1697_q4,Compound Reasoning,fbd_1697.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 169.91}"
fbd_1697_q5,Extrapolative/Counterfactual Reasoning,fbd_1697.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1698_q1,Image Description,fbd_1698.png,How many force arrows are shown in this diagram?,2
fbd_1698_q2,Basic Relational Reasoning,fbd_1698.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1698_q3,Comparative Reasoning,fbd_1698.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1698_q4,Compound Reasoning,fbd_1698.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53}"
fbd_1698_q5,Extrapolative/Counterfactual Reasoning,fbd_1698.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (242 degrees; 0=right, 90=up)"
fbd_1699_q1,Image Description,fbd_1699.png,How many force arrows are shown in this diagram?,4
fbd_1699_q2,Basic Relational Reasoning,fbd_1699.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1699_q3,Comparative Reasoning,fbd_1699.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1699_q4,Compound Reasoning,fbd_1699.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 119.0, 'magnitude': 160.961163}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 154.0, 'magnitude': 160.961163}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1699_q5,Extrapolative/Counterfactual Reasoning,fbd_1699.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1700_q1,Image Description,fbd_1700.png,How many force arrows are shown in this diagram?,2
fbd_1700_q2,Basic Relational Reasoning,fbd_1700.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1700_q3,Comparative Reasoning,fbd_1700.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1700_q4,Compound Reasoning,fbd_1700.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 126.75, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 126.7452}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 177.44328}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1700_q5,Extrapolative/Counterfactual Reasoning,fbd_1700.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1701_q1,Image Description,fbd_1701.png,How many force arrows are shown in this diagram?,4
fbd_1701_q2,Basic Relational Reasoning,fbd_1701.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1701_q3,Comparative Reasoning,fbd_1701.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1701_q4,Compound Reasoning,fbd_1701.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 136.06, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 136.0647}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 136.0647}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1701_q5,Extrapolative/Counterfactual Reasoning,fbd_1701.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1702_q1,Image Description,fbd_1702.png,How many force arrows are shown in this diagram?,4
fbd_1702_q2,Basic Relational Reasoning,fbd_1702.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1702_q3,Comparative Reasoning,fbd_1702.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1702_q4,Compound Reasoning,fbd_1702.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 187.77}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 262.878}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1702_q5,Extrapolative/Counterfactual Reasoning,fbd_1702.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1703_q1,Image Description,fbd_1703.png,How many force arrows are shown in this diagram?,2
fbd_1703_q2,Basic Relational Reasoning,fbd_1703.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1703_q3,Comparative Reasoning,fbd_1703.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1703_q4,Compound Reasoning,fbd_1703.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 140.68, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 140.6754}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 140.6754}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1703_q5,Extrapolative/Counterfactual Reasoning,fbd_1703.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1704_q1,Image Description,fbd_1704.png,How many force arrows are shown in this diagram?,3
fbd_1704_q2,Basic Relational Reasoning,fbd_1704.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1704_q3,Comparative Reasoning,fbd_1704.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1704_q4,Compound Reasoning,fbd_1704.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 71.0, 'magnitude': 133.660491}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 71.0, 'magnitude': 187.124687}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1704_q5,Extrapolative/Counterfactual Reasoning,fbd_1704.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_1705_q1,Image Description,fbd_1705.png,How many force arrows are shown in this diagram?,4
fbd_1705_q2,Basic Relational Reasoning,fbd_1705.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1705_q3,Comparative Reasoning,fbd_1705.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1705_q4,Compound Reasoning,fbd_1705.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.41}"
fbd_1705_q5,Extrapolative/Counterfactual Reasoning,fbd_1705.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1706_q1,Image Description,fbd_1706.png,How many force arrows are shown in this diagram?,2
fbd_1706_q2,Basic Relational Reasoning,fbd_1706.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1706_q3,Comparative Reasoning,fbd_1706.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1706_q4,Compound Reasoning,fbd_1706.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 129.69}"
fbd_1706_q5,Extrapolative/Counterfactual Reasoning,fbd_1706.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1707_q1,Image Description,fbd_1707.png,How many force arrows are shown in this diagram?,4
fbd_1707_q2,Basic Relational Reasoning,fbd_1707.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1707_q3,Comparative Reasoning,fbd_1707.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1707_q4,Compound Reasoning,fbd_1707.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 87.21}"
fbd_1707_q5,Extrapolative/Counterfactual Reasoning,fbd_1707.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1708_q1,Image Description,fbd_1708.png,How many force arrows are shown in this diagram?,4
fbd_1708_q2,Basic Relational Reasoning,fbd_1708.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1708_q3,Comparative Reasoning,fbd_1708.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1708_q4,Compound Reasoning,fbd_1708.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 0.0}"
fbd_1708_q5,Extrapolative/Counterfactual Reasoning,fbd_1708.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1709_q1,Image Description,fbd_1709.png,How many force arrows are shown in this diagram?,2
fbd_1709_q2,Basic Relational Reasoning,fbd_1709.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1709_q3,Comparative Reasoning,fbd_1709.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1709_q4,Compound Reasoning,fbd_1709.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 193.75}"
fbd_1709_q5,Extrapolative/Counterfactual Reasoning,fbd_1709.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1710_q1,Image Description,fbd_1710.png,How many force arrows are shown in this diagram?,3
fbd_1710_q2,Basic Relational Reasoning,fbd_1710.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1710_q3,Comparative Reasoning,fbd_1710.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1710_q4,Compound Reasoning,fbd_1710.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_1710_q5,Extrapolative/Counterfactual Reasoning,fbd_1710.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (241 degrees; 0=right, 90=up)"
fbd_1711_q1,Image Description,fbd_1711.png,How many force arrows are shown in this diagram?,4
fbd_1711_q2,Basic Relational Reasoning,fbd_1711.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1711_q3,Comparative Reasoning,fbd_1711.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1711_q4,Compound Reasoning,fbd_1711.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 58.04, 'required_friction_coefficient': 0.48}"
fbd_1711_q5,Extrapolative/Counterfactual Reasoning,fbd_1711.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1712_q1,Image Description,fbd_1712.png,How many force arrows are shown in this diagram?,2
fbd_1712_q2,Basic Relational Reasoning,fbd_1712.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1712_q3,Comparative Reasoning,fbd_1712.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1712_q4,Compound Reasoning,fbd_1712.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 37.01, 'tension_magnitude': 136.72}"
fbd_1712_q5,Extrapolative/Counterfactual Reasoning,fbd_1712.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1713_q1,Image Description,fbd_1713.png,How many force arrows are shown in this diagram?,4
fbd_1713_q2,Basic Relational Reasoning,fbd_1713.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1713_q3,Comparative Reasoning,fbd_1713.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1713_q4,Compound Reasoning,fbd_1713.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 23.39, 'tension_magnitude': 193.1}"
fbd_1713_q5,Extrapolative/Counterfactual Reasoning,fbd_1713.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1714_q1,Image Description,fbd_1714.png,How many force arrows are shown in this diagram?,4
fbd_1714_q2,Basic Relational Reasoning,fbd_1714.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1714_q3,Comparative Reasoning,fbd_1714.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1714_q4,Compound Reasoning,fbd_1714.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 79.31}"
fbd_1714_q5,Extrapolative/Counterfactual Reasoning,fbd_1714.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (347.6 degrees; 0=right, 90=up)"
fbd_1715_q1,Image Description,fbd_1715.png,How many force arrows are shown in this diagram?,2
fbd_1715_q2,Basic Relational Reasoning,fbd_1715.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1715_q3,Comparative Reasoning,fbd_1715.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1715_q4,Compound Reasoning,fbd_1715.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 31.88, 'support_force_magnitude': 107.13}"
fbd_1715_q5,Extrapolative/Counterfactual Reasoning,fbd_1715.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1716_q1,Image Description,fbd_1716.png,How many force arrows are shown in this diagram?,3
fbd_1716_q2,Basic Relational Reasoning,fbd_1716.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1716_q3,Comparative Reasoning,fbd_1716.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1716_q4,Compound Reasoning,fbd_1716.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 13.54, 'required_friction_coefficient': 0.08}"
fbd_1716_q5,Extrapolative/Counterfactual Reasoning,fbd_1716.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (265.7 degrees; 0=right, 90=up)"
fbd_1717_q1,Image Description,fbd_1717.png,How many force arrows are shown in this diagram?,3
fbd_1717_q2,Basic Relational Reasoning,fbd_1717.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1717_q3,Comparative Reasoning,fbd_1717.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1717_q4,Compound Reasoning,fbd_1717.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.44}"
fbd_1717_q5,Extrapolative/Counterfactual Reasoning,fbd_1717.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1718_q1,Image Description,fbd_1718.png,How many force arrows are shown in this diagram?,1
fbd_1718_q2,Basic Relational Reasoning,fbd_1718.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1718_q3,Comparative Reasoning,fbd_1718.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1718_q4,Compound Reasoning,fbd_1718.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 122.92}"
fbd_1718_q5,Extrapolative/Counterfactual Reasoning,fbd_1718.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1719_q1,Image Description,fbd_1719.png,How many force arrows are shown in this diagram?,3
fbd_1719_q2,Basic Relational Reasoning,fbd_1719.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1719_q3,Comparative Reasoning,fbd_1719.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1719_q4,Compound Reasoning,fbd_1719.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 138.52}"
fbd_1719_q5,Extrapolative/Counterfactual Reasoning,fbd_1719.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1720_q1,Image Description,fbd_1720.png,How many force arrows are shown in this diagram?,3
fbd_1720_q2,Basic Relational Reasoning,fbd_1720.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1720_q3,Comparative Reasoning,fbd_1720.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1720_q4,Compound Reasoning,fbd_1720.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 0.0}"
fbd_1720_q5,Extrapolative/Counterfactual Reasoning,fbd_1720.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1721_q1,Image Description,fbd_1721.png,How many force arrows are shown in this diagram?,1
fbd_1721_q2,Basic Relational Reasoning,fbd_1721.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1721_q3,Comparative Reasoning,fbd_1721.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1721_q4,Compound Reasoning,fbd_1721.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 186.68}"
fbd_1721_q5,Extrapolative/Counterfactual Reasoning,fbd_1721.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1722_q1,Image Description,fbd_1722.png,How many force arrows are shown in this diagram?,2
fbd_1722_q2,Basic Relational Reasoning,fbd_1722.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1722_q3,Comparative Reasoning,fbd_1722.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1722_q4,Compound Reasoning,fbd_1722.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_1722_q5,Extrapolative/Counterfactual Reasoning,fbd_1722.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_1723_q1,Image Description,fbd_1723.png,How many force arrows are shown in this diagram?,4
fbd_1723_q2,Basic Relational Reasoning,fbd_1723.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1723_q3,Comparative Reasoning,fbd_1723.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1723_q4,Compound Reasoning,fbd_1723.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.48, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 118.0, 'magnitude': 90.341697}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 153.0, 'magnitude': 90.341697}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1723_q5,Extrapolative/Counterfactual Reasoning,fbd_1723.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1724_q1,Image Description,fbd_1724.png,How many force arrows are shown in this diagram?,2
fbd_1724_q2,Basic Relational Reasoning,fbd_1724.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1724_q3,Comparative Reasoning,fbd_1724.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1724_q4,Compound Reasoning,fbd_1724.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 73.28, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 73.2807}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 102.59298}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1724_q5,Extrapolative/Counterfactual Reasoning,fbd_1724.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1725_q1,Image Description,fbd_1725.png,How many force arrows are shown in this diagram?,4
fbd_1725_q2,Basic Relational Reasoning,fbd_1725.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1725_q3,Comparative Reasoning,fbd_1725.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1725_q4,Compound Reasoning,fbd_1725.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 103.99, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 103.986}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 103.986}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1725_q5,Extrapolative/Counterfactual Reasoning,fbd_1725.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1726_q1,Image Description,fbd_1726.png,How many force arrows are shown in this diagram?,4
fbd_1726_q2,Basic Relational Reasoning,fbd_1726.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1726_q3,Comparative Reasoning,fbd_1726.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1726_q4,Compound Reasoning,fbd_1726.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 133.03}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 186.242}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1726_q5,Extrapolative/Counterfactual Reasoning,fbd_1726.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1727_q1,Image Description,fbd_1727.png,How many force arrows are shown in this diagram?,2
fbd_1727_q2,Basic Relational Reasoning,fbd_1727.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1727_q3,Comparative Reasoning,fbd_1727.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1727_q4,Compound Reasoning,fbd_1727.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 166.48, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 166.4757}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 166.4757}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1727_q5,Extrapolative/Counterfactual Reasoning,fbd_1727.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1728_q1,Image Description,fbd_1728.png,How many force arrows are shown in this diagram?,3
fbd_1728_q2,Basic Relational Reasoning,fbd_1728.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1728_q3,Comparative Reasoning,fbd_1728.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1728_q4,Compound Reasoning,fbd_1728.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 67.0, 'magnitude': 108.452133}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 67.0, 'magnitude': 151.832986}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1728_q5,Extrapolative/Counterfactual Reasoning,fbd_1728.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_1729_q1,Image Description,fbd_1729.png,How many force arrows are shown in this diagram?,4
fbd_1729_q2,Basic Relational Reasoning,fbd_1729.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1729_q3,Comparative Reasoning,fbd_1729.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1729_q4,Compound Reasoning,fbd_1729.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.41}"
fbd_1729_q5,Extrapolative/Counterfactual Reasoning,fbd_1729.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1730_q1,Image Description,fbd_1730.png,How many force arrows are shown in this diagram?,2
fbd_1730_q2,Basic Relational Reasoning,fbd_1730.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1730_q3,Comparative Reasoning,fbd_1730.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1730_q4,Compound Reasoning,fbd_1730.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 88.29}"
fbd_1730_q5,Extrapolative/Counterfactual Reasoning,fbd_1730.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1731_q1,Image Description,fbd_1731.png,How many force arrows are shown in this diagram?,4
fbd_1731_q2,Basic Relational Reasoning,fbd_1731.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1731_q3,Comparative Reasoning,fbd_1731.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1731_q4,Compound Reasoning,fbd_1731.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 134.5}"
fbd_1731_q5,Extrapolative/Counterfactual Reasoning,fbd_1731.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1732_q1,Image Description,fbd_1732.png,How many force arrows are shown in this diagram?,4
fbd_1732_q2,Basic Relational Reasoning,fbd_1732.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1732_q3,Comparative Reasoning,fbd_1732.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1732_q4,Compound Reasoning,fbd_1732.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0}"
fbd_1732_q5,Extrapolative/Counterfactual Reasoning,fbd_1732.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1733_q1,Image Description,fbd_1733.png,How many force arrows are shown in this diagram?,2
fbd_1733_q2,Basic Relational Reasoning,fbd_1733.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1733_q3,Comparative Reasoning,fbd_1733.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1733_q4,Compound Reasoning,fbd_1733.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 80.44}"
fbd_1733_q5,Extrapolative/Counterfactual Reasoning,fbd_1733.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1734_q1,Image Description,fbd_1734.png,How many force arrows are shown in this diagram?,3
fbd_1734_q2,Basic Relational Reasoning,fbd_1734.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1734_q3,Comparative Reasoning,fbd_1734.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1734_q4,Compound Reasoning,fbd_1734.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38}"
fbd_1734_q5,Extrapolative/Counterfactual Reasoning,fbd_1734.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_1735_q1,Image Description,fbd_1735.png,How many force arrows are shown in this diagram?,4
fbd_1735_q2,Basic Relational Reasoning,fbd_1735.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1735_q3,Comparative Reasoning,fbd_1735.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1735_q4,Compound Reasoning,fbd_1735.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 63.04, 'required_friction_coefficient': 0.62}"
fbd_1735_q5,Extrapolative/Counterfactual Reasoning,fbd_1735.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1736_q1,Image Description,fbd_1736.png,How many force arrows are shown in this diagram?,2
fbd_1736_q2,Basic Relational Reasoning,fbd_1736.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1736_q3,Comparative Reasoning,fbd_1736.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1736_q4,Compound Reasoning,fbd_1736.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 19.19, 'tension_magnitude': 42.32}"
fbd_1736_q5,Extrapolative/Counterfactual Reasoning,fbd_1736.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1737_q1,Image Description,fbd_1737.png,How many force arrows are shown in this diagram?,4
fbd_1737_q2,Basic Relational Reasoning,fbd_1737.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1737_q3,Comparative Reasoning,fbd_1737.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1737_q4,Compound Reasoning,fbd_1737.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 26.2, 'tension_magnitude': 109.78}"
fbd_1737_q5,Extrapolative/Counterfactual Reasoning,fbd_1737.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1738_q1,Image Description,fbd_1738.png,How many force arrows are shown in this diagram?,4
fbd_1738_q2,Basic Relational Reasoning,fbd_1738.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1738_q3,Comparative Reasoning,fbd_1738.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1738_q4,Compound Reasoning,fbd_1738.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 81.28}"
fbd_1738_q5,Extrapolative/Counterfactual Reasoning,fbd_1738.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (339.7 degrees; 0=right, 90=up)"
fbd_1739_q1,Image Description,fbd_1739.png,How many force arrows are shown in this diagram?,2
fbd_1739_q2,Basic Relational Reasoning,fbd_1739.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1739_q3,Comparative Reasoning,fbd_1739.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1739_q4,Compound Reasoning,fbd_1739.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 26.44, 'support_force_magnitude': 122.88}"
fbd_1739_q5,Extrapolative/Counterfactual Reasoning,fbd_1739.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1740_q1,Image Description,fbd_1740.png,How many force arrows are shown in this diagram?,3
fbd_1740_q2,Basic Relational Reasoning,fbd_1740.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1740_q3,Comparative Reasoning,fbd_1740.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1740_q4,Compound Reasoning,fbd_1740.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 44.62, 'required_friction_coefficient': 0.2}"
fbd_1740_q5,Extrapolative/Counterfactual Reasoning,fbd_1740.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (258.5 degrees; 0=right, 90=up)"
fbd_1741_q1,Image Description,fbd_1741.png,How many force arrows are shown in this diagram?,3
fbd_1741_q2,Basic Relational Reasoning,fbd_1741.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1741_q3,Comparative Reasoning,fbd_1741.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1741_q4,Compound Reasoning,fbd_1741.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.43}"
fbd_1741_q5,Extrapolative/Counterfactual Reasoning,fbd_1741.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1742_q1,Image Description,fbd_1742.png,How many force arrows are shown in this diagram?,1
fbd_1742_q2,Basic Relational Reasoning,fbd_1742.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1742_q3,Comparative Reasoning,fbd_1742.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1742_q4,Compound Reasoning,fbd_1742.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 64.16}"
fbd_1742_q5,Extrapolative/Counterfactual Reasoning,fbd_1742.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1743_q1,Image Description,fbd_1743.png,How many force arrows are shown in this diagram?,3
fbd_1743_q2,Basic Relational Reasoning,fbd_1743.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1743_q3,Comparative Reasoning,fbd_1743.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1743_q4,Compound Reasoning,fbd_1743.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 162.55}"
fbd_1743_q5,Extrapolative/Counterfactual Reasoning,fbd_1743.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1744_q1,Image Description,fbd_1744.png,How many force arrows are shown in this diagram?,3
fbd_1744_q2,Basic Relational Reasoning,fbd_1744.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1744_q3,Comparative Reasoning,fbd_1744.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1744_q4,Compound Reasoning,fbd_1744.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 0.0}"
fbd_1744_q5,Extrapolative/Counterfactual Reasoning,fbd_1744.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1745_q1,Image Description,fbd_1745.png,How many force arrows are shown in this diagram?,1
fbd_1745_q2,Basic Relational Reasoning,fbd_1745.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1745_q3,Comparative Reasoning,fbd_1745.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1745_q4,Compound Reasoning,fbd_1745.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 213.76}"
fbd_1745_q5,Extrapolative/Counterfactual Reasoning,fbd_1745.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1746_q1,Image Description,fbd_1746.png,How many force arrows are shown in this diagram?,2
fbd_1746_q2,Basic Relational Reasoning,fbd_1746.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1746_q3,Comparative Reasoning,fbd_1746.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1746_q4,Compound Reasoning,fbd_1746.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_1746_q5,Extrapolative/Counterfactual Reasoning,fbd_1746.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_1747_q1,Image Description,fbd_1747.png,How many force arrows are shown in this diagram?,4
fbd_1747_q2,Basic Relational Reasoning,fbd_1747.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1747_q3,Comparative Reasoning,fbd_1747.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1747_q4,Compound Reasoning,fbd_1747.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.57, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 122.0, 'magnitude': 111.479314}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 157.0, 'magnitude': 111.479314}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1747_q5,Extrapolative/Counterfactual Reasoning,fbd_1747.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1748_q1,Image Description,fbd_1748.png,How many force arrows are shown in this diagram?,2
fbd_1748_q2,Basic Relational Reasoning,fbd_1748.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1748_q3,Comparative Reasoning,fbd_1748.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1748_q4,Compound Reasoning,fbd_1748.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 208.56, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 208.5606}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 291.98484}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1748_q5,Extrapolative/Counterfactual Reasoning,fbd_1748.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1749_q1,Image Description,fbd_1749.png,How many force arrows are shown in this diagram?,4
fbd_1749_q2,Basic Relational Reasoning,fbd_1749.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1749_q3,Comparative Reasoning,fbd_1749.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1749_q4,Compound Reasoning,fbd_1749.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 181.39, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 181.3869}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 181.3869}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1749_q5,Extrapolative/Counterfactual Reasoning,fbd_1749.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1750_q1,Image Description,fbd_1750.png,How many force arrows are shown in this diagram?,4
fbd_1750_q2,Basic Relational Reasoning,fbd_1750.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1750_q3,Comparative Reasoning,fbd_1750.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1750_q4,Compound Reasoning,fbd_1750.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.73, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 159.91}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 223.874}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1750_q5,Extrapolative/Counterfactual Reasoning,fbd_1750.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1751_q1,Image Description,fbd_1751.png,How many force arrows are shown in this diagram?,2
fbd_1751_q2,Basic Relational Reasoning,fbd_1751.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1751_q3,Comparative Reasoning,fbd_1751.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1751_q4,Compound Reasoning,fbd_1751.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 59.94, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 59.9391}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 59.9391}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1751_q5,Extrapolative/Counterfactual Reasoning,fbd_1751.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1752_q1,Image Description,fbd_1752.png,How many force arrows are shown in this diagram?,3
fbd_1752_q2,Basic Relational Reasoning,fbd_1752.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1752_q3,Comparative Reasoning,fbd_1752.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1752_q4,Compound Reasoning,fbd_1752.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 62.0, 'magnitude': 81.939832}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 62.0, 'magnitude': 114.715765}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1752_q5,Extrapolative/Counterfactual Reasoning,fbd_1752.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (242 degrees; 0=right, 90=up)"
fbd_1753_q1,Image Description,fbd_1753.png,How many force arrows are shown in this diagram?,4
fbd_1753_q2,Basic Relational Reasoning,fbd_1753.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1753_q3,Comparative Reasoning,fbd_1753.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1753_q4,Compound Reasoning,fbd_1753.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_1753_q5,Extrapolative/Counterfactual Reasoning,fbd_1753.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1754_q1,Image Description,fbd_1754.png,How many force arrows are shown in this diagram?,2
fbd_1754_q2,Basic Relational Reasoning,fbd_1754.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1754_q3,Comparative Reasoning,fbd_1754.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1754_q4,Compound Reasoning,fbd_1754.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 88.49}"
fbd_1754_q5,Extrapolative/Counterfactual Reasoning,fbd_1754.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1755_q1,Image Description,fbd_1755.png,How many force arrows are shown in this diagram?,4
fbd_1755_q2,Basic Relational Reasoning,fbd_1755.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1755_q3,Comparative Reasoning,fbd_1755.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1755_q4,Compound Reasoning,fbd_1755.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 177.27}"
fbd_1755_q5,Extrapolative/Counterfactual Reasoning,fbd_1755.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1756_q1,Image Description,fbd_1756.png,How many force arrows are shown in this diagram?,4
fbd_1756_q2,Basic Relational Reasoning,fbd_1756.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1756_q3,Comparative Reasoning,fbd_1756.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1756_q4,Compound Reasoning,fbd_1756.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0}"
fbd_1756_q5,Extrapolative/Counterfactual Reasoning,fbd_1756.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1757_q1,Image Description,fbd_1757.png,How many force arrows are shown in this diagram?,2
fbd_1757_q2,Basic Relational Reasoning,fbd_1757.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1757_q3,Comparative Reasoning,fbd_1757.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1757_q4,Compound Reasoning,fbd_1757.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 207.48}"
fbd_1757_q5,Extrapolative/Counterfactual Reasoning,fbd_1757.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1758_q1,Image Description,fbd_1758.png,How many force arrows are shown in this diagram?,3
fbd_1758_q2,Basic Relational Reasoning,fbd_1758.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1758_q3,Comparative Reasoning,fbd_1758.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1758_q4,Compound Reasoning,fbd_1758.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_1758_q5,Extrapolative/Counterfactual Reasoning,fbd_1758.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (241 degrees; 0=right, 90=up)"
fbd_1759_q1,Image Description,fbd_1759.png,How many force arrows are shown in this diagram?,4
fbd_1759_q2,Basic Relational Reasoning,fbd_1759.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1759_q3,Comparative Reasoning,fbd_1759.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1759_q4,Compound Reasoning,fbd_1759.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 41.03, 'required_friction_coefficient': 0.44}"
fbd_1759_q5,Extrapolative/Counterfactual Reasoning,fbd_1759.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1760_q1,Image Description,fbd_1760.png,How many force arrows are shown in this diagram?,2
fbd_1760_q2,Basic Relational Reasoning,fbd_1760.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1760_q3,Comparative Reasoning,fbd_1760.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1760_q4,Compound Reasoning,fbd_1760.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 30.62, 'tension_magnitude': 107.8}"
fbd_1760_q5,Extrapolative/Counterfactual Reasoning,fbd_1760.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1761_q1,Image Description,fbd_1761.png,How many force arrows are shown in this diagram?,4
fbd_1761_q2,Basic Relational Reasoning,fbd_1761.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1761_q3,Comparative Reasoning,fbd_1761.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1761_q4,Compound Reasoning,fbd_1761.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 20.86, 'tension_magnitude': 93.65}"
fbd_1761_q5,Extrapolative/Counterfactual Reasoning,fbd_1761.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1762_q1,Image Description,fbd_1762.png,How many force arrows are shown in this diagram?,4
fbd_1762_q2,Basic Relational Reasoning,fbd_1762.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1762_q3,Comparative Reasoning,fbd_1762.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1762_q4,Compound Reasoning,fbd_1762.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 55.2}"
fbd_1762_q5,Extrapolative/Counterfactual Reasoning,fbd_1762.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (342.7 degrees; 0=right, 90=up)"
fbd_1763_q1,Image Description,fbd_1763.png,How many force arrows are shown in this diagram?,2
fbd_1763_q2,Basic Relational Reasoning,fbd_1763.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1763_q3,Comparative Reasoning,fbd_1763.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1763_q4,Compound Reasoning,fbd_1763.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 26.24, 'support_force_magnitude': 196.74}"
fbd_1763_q5,Extrapolative/Counterfactual Reasoning,fbd_1763.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1764_q1,Image Description,fbd_1764.png,How many force arrows are shown in this diagram?,3
fbd_1764_q2,Basic Relational Reasoning,fbd_1764.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1764_q3,Comparative Reasoning,fbd_1764.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1764_q4,Compound Reasoning,fbd_1764.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 59.02, 'required_friction_coefficient': 0.01}"
fbd_1764_q5,Extrapolative/Counterfactual Reasoning,fbd_1764.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (269.5 degrees; 0=right, 90=up)"
fbd_1765_q1,Image Description,fbd_1765.png,How many force arrows are shown in this diagram?,3
fbd_1765_q2,Basic Relational Reasoning,fbd_1765.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1765_q3,Comparative Reasoning,fbd_1765.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1765_q4,Compound Reasoning,fbd_1765.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.48}"
fbd_1765_q5,Extrapolative/Counterfactual Reasoning,fbd_1765.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1766_q1,Image Description,fbd_1766.png,How many force arrows are shown in this diagram?,1
fbd_1766_q2,Basic Relational Reasoning,fbd_1766.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1766_q3,Comparative Reasoning,fbd_1766.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1766_q4,Compound Reasoning,fbd_1766.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 90.55}"
fbd_1766_q5,Extrapolative/Counterfactual Reasoning,fbd_1766.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1767_q1,Image Description,fbd_1767.png,How many force arrows are shown in this diagram?,3
fbd_1767_q2,Basic Relational Reasoning,fbd_1767.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1767_q3,Comparative Reasoning,fbd_1767.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1767_q4,Compound Reasoning,fbd_1767.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 172.07}"
fbd_1767_q5,Extrapolative/Counterfactual Reasoning,fbd_1767.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1768_q1,Image Description,fbd_1768.png,How many force arrows are shown in this diagram?,3
fbd_1768_q2,Basic Relational Reasoning,fbd_1768.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1768_q3,Comparative Reasoning,fbd_1768.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1768_q4,Compound Reasoning,fbd_1768.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 0.0}"
fbd_1768_q5,Extrapolative/Counterfactual Reasoning,fbd_1768.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1769_q1,Image Description,fbd_1769.png,How many force arrows are shown in this diagram?,1
fbd_1769_q2,Basic Relational Reasoning,fbd_1769.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1769_q3,Comparative Reasoning,fbd_1769.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1769_q4,Compound Reasoning,fbd_1769.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 62.69}"
fbd_1769_q5,Extrapolative/Counterfactual Reasoning,fbd_1769.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1770_q1,Image Description,fbd_1770.png,How many force arrows are shown in this diagram?,2
fbd_1770_q2,Basic Relational Reasoning,fbd_1770.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1770_q3,Comparative Reasoning,fbd_1770.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1770_q4,Compound Reasoning,fbd_1770.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_1770_q5,Extrapolative/Counterfactual Reasoning,fbd_1770.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_1771_q1,Image Description,fbd_1771.png,How many force arrows are shown in this diagram?,4
fbd_1771_q2,Basic Relational Reasoning,fbd_1771.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1771_q3,Comparative Reasoning,fbd_1771.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1771_q4,Compound Reasoning,fbd_1771.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.43, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 116.0, 'magnitude': 77.150234}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 151.0, 'magnitude': 77.150234}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1771_q5,Extrapolative/Counterfactual Reasoning,fbd_1771.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1772_q1,Image Description,fbd_1772.png,How many force arrows are shown in this diagram?,2
fbd_1772_q2,Basic Relational Reasoning,fbd_1772.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1772_q3,Comparative Reasoning,fbd_1772.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1772_q4,Compound Reasoning,fbd_1772.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 90.55, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 90.5463}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 126.76482}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1772_q5,Extrapolative/Counterfactual Reasoning,fbd_1772.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1773_q1,Image Description,fbd_1773.png,How many force arrows are shown in this diagram?,4
fbd_1773_q2,Basic Relational Reasoning,fbd_1773.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1773_q3,Comparative Reasoning,fbd_1773.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1773_q4,Compound Reasoning,fbd_1773.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 124.29, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 124.2927}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 124.2927}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1773_q5,Extrapolative/Counterfactual Reasoning,fbd_1773.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1774_q1,Image Description,fbd_1774.png,How many force arrows are shown in this diagram?,4
fbd_1774_q2,Basic Relational Reasoning,fbd_1774.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1774_q3,Comparative Reasoning,fbd_1774.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1774_q4,Compound Reasoning,fbd_1774.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 189.54}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 265.356}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1774_q5,Extrapolative/Counterfactual Reasoning,fbd_1774.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1775_q1,Image Description,fbd_1775.png,How many force arrows are shown in this diagram?,2
fbd_1775_q2,Basic Relational Reasoning,fbd_1775.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1775_q3,Comparative Reasoning,fbd_1775.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1775_q4,Compound Reasoning,fbd_1775.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 117.92, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 117.9162}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 117.9162}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1775_q5,Extrapolative/Counterfactual Reasoning,fbd_1775.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1776_q1,Image Description,fbd_1776.png,How many force arrows are shown in this diagram?,3
fbd_1776_q2,Basic Relational Reasoning,fbd_1776.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1776_q3,Comparative Reasoning,fbd_1776.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1776_q4,Compound Reasoning,fbd_1776.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 73.0, 'magnitude': 149.257273}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 73.0, 'magnitude': 208.960182}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1776_q5,Extrapolative/Counterfactual Reasoning,fbd_1776.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_1777_q1,Image Description,fbd_1777.png,How many force arrows are shown in this diagram?,4
fbd_1777_q2,Basic Relational Reasoning,fbd_1777.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1777_q3,Comparative Reasoning,fbd_1777.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1777_q4,Compound Reasoning,fbd_1777.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.62}"
fbd_1777_q5,Extrapolative/Counterfactual Reasoning,fbd_1777.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1778_q1,Image Description,fbd_1778.png,How many force arrows are shown in this diagram?,2
fbd_1778_q2,Basic Relational Reasoning,fbd_1778.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1778_q3,Comparative Reasoning,fbd_1778.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1778_q4,Compound Reasoning,fbd_1778.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 191.0}"
fbd_1778_q5,Extrapolative/Counterfactual Reasoning,fbd_1778.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1779_q1,Image Description,fbd_1779.png,How many force arrows are shown in this diagram?,4
fbd_1779_q2,Basic Relational Reasoning,fbd_1779.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1779_q3,Comparative Reasoning,fbd_1779.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1779_q4,Compound Reasoning,fbd_1779.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 137.54}"
fbd_1779_q5,Extrapolative/Counterfactual Reasoning,fbd_1779.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1780_q1,Image Description,fbd_1780.png,How many force arrows are shown in this diagram?,4
fbd_1780_q2,Basic Relational Reasoning,fbd_1780.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1780_q3,Comparative Reasoning,fbd_1780.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1780_q4,Compound Reasoning,fbd_1780.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 0.0}"
fbd_1780_q5,Extrapolative/Counterfactual Reasoning,fbd_1780.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1781_q1,Image Description,fbd_1781.png,How many force arrows are shown in this diagram?,2
fbd_1781_q2,Basic Relational Reasoning,fbd_1781.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1781_q3,Comparative Reasoning,fbd_1781.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1781_q4,Compound Reasoning,fbd_1781.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 71.91}"
fbd_1781_q5,Extrapolative/Counterfactual Reasoning,fbd_1781.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1782_q1,Image Description,fbd_1782.png,How many force arrows are shown in this diagram?,3
fbd_1782_q2,Basic Relational Reasoning,fbd_1782.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1782_q3,Comparative Reasoning,fbd_1782.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1782_q4,Compound Reasoning,fbd_1782.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_1782_q5,Extrapolative/Counterfactual Reasoning,fbd_1782.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_1783_q1,Image Description,fbd_1783.png,How many force arrows are shown in this diagram?,4
fbd_1783_q2,Basic Relational Reasoning,fbd_1783.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1783_q3,Comparative Reasoning,fbd_1783.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1783_q4,Compound Reasoning,fbd_1783.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 50.75, 'required_friction_coefficient': 0.61}"
fbd_1783_q5,Extrapolative/Counterfactual Reasoning,fbd_1783.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1784_q1,Image Description,fbd_1784.png,How many force arrows are shown in this diagram?,2
fbd_1784_q2,Basic Relational Reasoning,fbd_1784.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1784_q3,Comparative Reasoning,fbd_1784.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1784_q4,Compound Reasoning,fbd_1784.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 20.05, 'tension_magnitude': 46.85}"
fbd_1784_q5,Extrapolative/Counterfactual Reasoning,fbd_1784.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1785_q1,Image Description,fbd_1785.png,How many force arrows are shown in this diagram?,4
fbd_1785_q2,Basic Relational Reasoning,fbd_1785.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1785_q3,Comparative Reasoning,fbd_1785.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1785_q4,Compound Reasoning,fbd_1785.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 18.88, 'tension_magnitude': 202.13}"
fbd_1785_q5,Extrapolative/Counterfactual Reasoning,fbd_1785.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1786_q1,Image Description,fbd_1786.png,How many force arrows are shown in this diagram?,4
fbd_1786_q2,Basic Relational Reasoning,fbd_1786.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1786_q3,Comparative Reasoning,fbd_1786.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1786_q4,Compound Reasoning,fbd_1786.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.7, 'net_force_N': 95.04}"
fbd_1786_q5,Extrapolative/Counterfactual Reasoning,fbd_1786.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (334.7 degrees; 0=right, 90=up)"
fbd_1787_q1,Image Description,fbd_1787.png,How many force arrows are shown in this diagram?,2
fbd_1787_q2,Basic Relational Reasoning,fbd_1787.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1787_q3,Comparative Reasoning,fbd_1787.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1787_q4,Compound Reasoning,fbd_1787.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 12.66, 'support_force_magnitude': 71.81}"
fbd_1787_q5,Extrapolative/Counterfactual Reasoning,fbd_1787.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1788_q1,Image Description,fbd_1788.png,How many force arrows are shown in this diagram?,3
fbd_1788_q2,Basic Relational Reasoning,fbd_1788.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1788_q3,Comparative Reasoning,fbd_1788.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1788_q4,Compound Reasoning,fbd_1788.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 30.53, 'required_friction_coefficient': 0.17}"
fbd_1788_q5,Extrapolative/Counterfactual Reasoning,fbd_1788.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (260.3 degrees; 0=right, 90=up)"
fbd_1789_q1,Image Description,fbd_1789.png,How many force arrows are shown in this diagram?,3
fbd_1789_q2,Basic Relational Reasoning,fbd_1789.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1789_q3,Comparative Reasoning,fbd_1789.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1789_q4,Compound Reasoning,fbd_1789.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.62}"
fbd_1789_q5,Extrapolative/Counterfactual Reasoning,fbd_1789.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1790_q1,Image Description,fbd_1790.png,How many force arrows are shown in this diagram?,1
fbd_1790_q2,Basic Relational Reasoning,fbd_1790.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1790_q3,Comparative Reasoning,fbd_1790.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1790_q4,Compound Reasoning,fbd_1790.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 85.15}"
fbd_1790_q5,Extrapolative/Counterfactual Reasoning,fbd_1790.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1791_q1,Image Description,fbd_1791.png,How many force arrows are shown in this diagram?,3
fbd_1791_q2,Basic Relational Reasoning,fbd_1791.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1791_q3,Comparative Reasoning,fbd_1791.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1791_q4,Compound Reasoning,fbd_1791.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 185.51}"
fbd_1791_q5,Extrapolative/Counterfactual Reasoning,fbd_1791.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1792_q1,Image Description,fbd_1792.png,How many force arrows are shown in this diagram?,3
fbd_1792_q2,Basic Relational Reasoning,fbd_1792.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1792_q3,Comparative Reasoning,fbd_1792.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1792_q4,Compound Reasoning,fbd_1792.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 0.0}"
fbd_1792_q5,Extrapolative/Counterfactual Reasoning,fbd_1792.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1793_q1,Image Description,fbd_1793.png,How many force arrows are shown in this diagram?,1
fbd_1793_q2,Basic Relational Reasoning,fbd_1793.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1793_q3,Comparative Reasoning,fbd_1793.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1793_q4,Compound Reasoning,fbd_1793.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 62.98}"
fbd_1793_q5,Extrapolative/Counterfactual Reasoning,fbd_1793.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1794_q1,Image Description,fbd_1794.png,How many force arrows are shown in this diagram?,2
fbd_1794_q2,Basic Relational Reasoning,fbd_1794.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1794_q3,Comparative Reasoning,fbd_1794.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1794_q4,Compound Reasoning,fbd_1794.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34}"
fbd_1794_q5,Extrapolative/Counterfactual Reasoning,fbd_1794.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_1795_q1,Image Description,fbd_1795.png,How many force arrows are shown in this diagram?,4
fbd_1795_q2,Basic Relational Reasoning,fbd_1795.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1795_q3,Comparative Reasoning,fbd_1795.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1795_q4,Compound Reasoning,fbd_1795.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.44, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 116.0, 'magnitude': 178.900371}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 151.0, 'magnitude': 178.900371}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1795_q5,Extrapolative/Counterfactual Reasoning,fbd_1795.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1796_q1,Image Description,fbd_1796.png,How many force arrows are shown in this diagram?,2
fbd_1796_q2,Basic Relational Reasoning,fbd_1796.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1796_q3,Comparative Reasoning,fbd_1796.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1796_q4,Compound Reasoning,fbd_1796.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 208.95, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 208.953}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 292.5342}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1796_q5,Extrapolative/Counterfactual Reasoning,fbd_1796.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1797_q1,Image Description,fbd_1797.png,How many force arrows are shown in this diagram?,4
fbd_1797_q2,Basic Relational Reasoning,fbd_1797.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1797_q3,Comparative Reasoning,fbd_1797.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1797_q4,Compound Reasoning,fbd_1797.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 105.36, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 105.3594}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 105.3594}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1797_q5,Extrapolative/Counterfactual Reasoning,fbd_1797.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1798_q1,Image Description,fbd_1798.png,How many force arrows are shown in this diagram?,4
fbd_1798_q2,Basic Relational Reasoning,fbd_1798.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1798_q3,Comparative Reasoning,fbd_1798.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1798_q4,Compound Reasoning,fbd_1798.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 225.85}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 316.19}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1798_q5,Extrapolative/Counterfactual Reasoning,fbd_1798.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1799_q1,Image Description,fbd_1799.png,How many force arrows are shown in this diagram?,2
fbd_1799_q2,Basic Relational Reasoning,fbd_1799.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1799_q3,Comparative Reasoning,fbd_1799.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1799_q4,Compound Reasoning,fbd_1799.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 97.61, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 97.6095}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 97.6095}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1799_q5,Extrapolative/Counterfactual Reasoning,fbd_1799.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1800_q1,Image Description,fbd_1800.png,How many force arrows are shown in this diagram?,3
fbd_1800_q2,Basic Relational Reasoning,fbd_1800.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1800_q3,Comparative Reasoning,fbd_1800.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1800_q4,Compound Reasoning,fbd_1800.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 74.0, 'magnitude': 111.273731}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 74.0, 'magnitude': 155.783223}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1800_q5,Extrapolative/Counterfactual Reasoning,fbd_1800.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_1801_q1,Image Description,fbd_1801.png,How many force arrows are shown in this diagram?,4
fbd_1801_q2,Basic Relational Reasoning,fbd_1801.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1801_q3,Comparative Reasoning,fbd_1801.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1801_q4,Compound Reasoning,fbd_1801.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_1801_q5,Extrapolative/Counterfactual Reasoning,fbd_1801.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1802_q1,Image Description,fbd_1802.png,How many force arrows are shown in this diagram?,2
fbd_1802_q2,Basic Relational Reasoning,fbd_1802.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1802_q3,Comparative Reasoning,fbd_1802.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1802_q4,Compound Reasoning,fbd_1802.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 163.43}"
fbd_1802_q5,Extrapolative/Counterfactual Reasoning,fbd_1802.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1803_q1,Image Description,fbd_1803.png,How many force arrows are shown in this diagram?,4
fbd_1803_q2,Basic Relational Reasoning,fbd_1803.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1803_q3,Comparative Reasoning,fbd_1803.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1803_q4,Compound Reasoning,fbd_1803.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 139.89}"
fbd_1803_q5,Extrapolative/Counterfactual Reasoning,fbd_1803.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1804_q1,Image Description,fbd_1804.png,How many force arrows are shown in this diagram?,4
fbd_1804_q2,Basic Relational Reasoning,fbd_1804.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1804_q3,Comparative Reasoning,fbd_1804.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1804_q4,Compound Reasoning,fbd_1804.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0}"
fbd_1804_q5,Extrapolative/Counterfactual Reasoning,fbd_1804.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1805_q1,Image Description,fbd_1805.png,How many force arrows are shown in this diagram?,2
fbd_1805_q2,Basic Relational Reasoning,fbd_1805.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1805_q3,Comparative Reasoning,fbd_1805.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1805_q4,Compound Reasoning,fbd_1805.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 186.88}"
fbd_1805_q5,Extrapolative/Counterfactual Reasoning,fbd_1805.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1806_q1,Image Description,fbd_1806.png,How many force arrows are shown in this diagram?,3
fbd_1806_q2,Basic Relational Reasoning,fbd_1806.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1806_q3,Comparative Reasoning,fbd_1806.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1806_q4,Compound Reasoning,fbd_1806.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36}"
fbd_1806_q5,Extrapolative/Counterfactual Reasoning,fbd_1806.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_1807_q1,Image Description,fbd_1807.png,How many force arrows are shown in this diagram?,4
fbd_1807_q2,Basic Relational Reasoning,fbd_1807.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1807_q3,Comparative Reasoning,fbd_1807.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1807_q4,Compound Reasoning,fbd_1807.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 50.87, 'required_friction_coefficient': 0.63}"
fbd_1807_q5,Extrapolative/Counterfactual Reasoning,fbd_1807.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1808_q1,Image Description,fbd_1808.png,How many force arrows are shown in this diagram?,2
fbd_1808_q2,Basic Relational Reasoning,fbd_1808.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1808_q3,Comparative Reasoning,fbd_1808.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1808_q4,Compound Reasoning,fbd_1808.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 16.18, 'tension_magnitude': 43.95}"
fbd_1808_q5,Extrapolative/Counterfactual Reasoning,fbd_1808.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1809_q1,Image Description,fbd_1809.png,How many force arrows are shown in this diagram?,4
fbd_1809_q2,Basic Relational Reasoning,fbd_1809.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1809_q3,Comparative Reasoning,fbd_1809.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1809_q4,Compound Reasoning,fbd_1809.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 37.97, 'tension_magnitude': 215.23}"
fbd_1809_q5,Extrapolative/Counterfactual Reasoning,fbd_1809.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1810_q1,Image Description,fbd_1810.png,How many force arrows are shown in this diagram?,4
fbd_1810_q2,Basic Relational Reasoning,fbd_1810.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1810_q3,Comparative Reasoning,fbd_1810.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1810_q4,Compound Reasoning,fbd_1810.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 40.61}"
fbd_1810_q5,Extrapolative/Counterfactual Reasoning,fbd_1810.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (341.5 degrees; 0=right, 90=up)"
fbd_1811_q1,Image Description,fbd_1811.png,How many force arrows are shown in this diagram?,2
fbd_1811_q2,Basic Relational Reasoning,fbd_1811.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1811_q3,Comparative Reasoning,fbd_1811.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1811_q4,Compound Reasoning,fbd_1811.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 39.38, 'support_force_magnitude': 106.4}"
fbd_1811_q5,Extrapolative/Counterfactual Reasoning,fbd_1811.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1812_q1,Image Description,fbd_1812.png,How many force arrows are shown in this diagram?,3
fbd_1812_q2,Basic Relational Reasoning,fbd_1812.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1812_q3,Comparative Reasoning,fbd_1812.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1812_q4,Compound Reasoning,fbd_1812.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 30.15, 'required_friction_coefficient': 0.16}"
fbd_1812_q5,Extrapolative/Counterfactual Reasoning,fbd_1812.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (260.6 degrees; 0=right, 90=up)"
fbd_1813_q1,Image Description,fbd_1813.png,How many force arrows are shown in this diagram?,3
fbd_1813_q2,Basic Relational Reasoning,fbd_1813.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1813_q3,Comparative Reasoning,fbd_1813.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1813_q4,Compound Reasoning,fbd_1813.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.54}"
fbd_1813_q5,Extrapolative/Counterfactual Reasoning,fbd_1813.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1814_q1,Image Description,fbd_1814.png,How many force arrows are shown in this diagram?,1
fbd_1814_q2,Basic Relational Reasoning,fbd_1814.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1814_q3,Comparative Reasoning,fbd_1814.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1814_q4,Compound Reasoning,fbd_1814.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 202.48}"
fbd_1814_q5,Extrapolative/Counterfactual Reasoning,fbd_1814.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1815_q1,Image Description,fbd_1815.png,How many force arrows are shown in this diagram?,3
fbd_1815_q2,Basic Relational Reasoning,fbd_1815.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1815_q3,Comparative Reasoning,fbd_1815.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1815_q4,Compound Reasoning,fbd_1815.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 68.08}"
fbd_1815_q5,Extrapolative/Counterfactual Reasoning,fbd_1815.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1816_q1,Image Description,fbd_1816.png,How many force arrows are shown in this diagram?,3
fbd_1816_q2,Basic Relational Reasoning,fbd_1816.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1816_q3,Comparative Reasoning,fbd_1816.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1816_q4,Compound Reasoning,fbd_1816.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 0.0}"
fbd_1816_q5,Extrapolative/Counterfactual Reasoning,fbd_1816.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1817_q1,Image Description,fbd_1817.png,How many force arrows are shown in this diagram?,1
fbd_1817_q2,Basic Relational Reasoning,fbd_1817.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1817_q3,Comparative Reasoning,fbd_1817.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1817_q4,Compound Reasoning,fbd_1817.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 143.52}"
fbd_1817_q5,Extrapolative/Counterfactual Reasoning,fbd_1817.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1818_q1,Image Description,fbd_1818.png,How many force arrows are shown in this diagram?,2
fbd_1818_q2,Basic Relational Reasoning,fbd_1818.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1818_q3,Comparative Reasoning,fbd_1818.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1818_q4,Compound Reasoning,fbd_1818.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38}"
fbd_1818_q5,Extrapolative/Counterfactual Reasoning,fbd_1818.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_1819_q1,Image Description,fbd_1819.png,How many force arrows are shown in this diagram?,4
fbd_1819_q2,Basic Relational Reasoning,fbd_1819.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1819_q3,Comparative Reasoning,fbd_1819.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1819_q4,Compound Reasoning,fbd_1819.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.44, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 118.0, 'magnitude': 174.446958}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 153.0, 'magnitude': 174.446958}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1819_q5,Extrapolative/Counterfactual Reasoning,fbd_1819.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1820_q1,Image Description,fbd_1820.png,How many force arrows are shown in this diagram?,2
fbd_1820_q2,Basic Relational Reasoning,fbd_1820.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1820_q3,Comparative Reasoning,fbd_1820.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1820_q4,Compound Reasoning,fbd_1820.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 82.4, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 82.404}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 115.3656}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1820_q5,Extrapolative/Counterfactual Reasoning,fbd_1820.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1821_q1,Image Description,fbd_1821.png,How many force arrows are shown in this diagram?,4
fbd_1821_q2,Basic Relational Reasoning,fbd_1821.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1821_q3,Comparative Reasoning,fbd_1821.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1821_q4,Compound Reasoning,fbd_1821.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 114.09, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 114.0903}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 114.0903}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1821_q5,Extrapolative/Counterfactual Reasoning,fbd_1821.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1822_q1,Image Description,fbd_1822.png,How many force arrows are shown in this diagram?,4
fbd_1822_q2,Basic Relational Reasoning,fbd_1822.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1822_q3,Comparative Reasoning,fbd_1822.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1822_q4,Compound Reasoning,fbd_1822.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.65, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 282.39}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 395.346}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1822_q5,Extrapolative/Counterfactual Reasoning,fbd_1822.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1823_q1,Image Description,fbd_1823.png,How many force arrows are shown in this diagram?,2
fbd_1823_q2,Basic Relational Reasoning,fbd_1823.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1823_q3,Comparative Reasoning,fbd_1823.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1823_q4,Compound Reasoning,fbd_1823.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 102.91, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 102.9069}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 102.9069}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1823_q5,Extrapolative/Counterfactual Reasoning,fbd_1823.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1824_q1,Image Description,fbd_1824.png,How many force arrows are shown in this diagram?,3
fbd_1824_q2,Basic Relational Reasoning,fbd_1824.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1824_q3,Comparative Reasoning,fbd_1824.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1824_q4,Compound Reasoning,fbd_1824.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 74.0, 'magnitude': 91.09358}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 74.0, 'magnitude': 127.531012}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1824_q5,Extrapolative/Counterfactual Reasoning,fbd_1824.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_1825_q1,Image Description,fbd_1825.png,How many force arrows are shown in this diagram?,4
fbd_1825_q2,Basic Relational Reasoning,fbd_1825.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1825_q3,Comparative Reasoning,fbd_1825.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1825_q4,Compound Reasoning,fbd_1825.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.6}"
fbd_1825_q5,Extrapolative/Counterfactual Reasoning,fbd_1825.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1826_q1,Image Description,fbd_1826.png,How many force arrows are shown in this diagram?,2
fbd_1826_q2,Basic Relational Reasoning,fbd_1826.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1826_q3,Comparative Reasoning,fbd_1826.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1826_q4,Compound Reasoning,fbd_1826.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 178.35}"
fbd_1826_q5,Extrapolative/Counterfactual Reasoning,fbd_1826.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1827_q1,Image Description,fbd_1827.png,How many force arrows are shown in this diagram?,4
fbd_1827_q2,Basic Relational Reasoning,fbd_1827.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1827_q3,Comparative Reasoning,fbd_1827.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1827_q4,Compound Reasoning,fbd_1827.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 102.81}"
fbd_1827_q5,Extrapolative/Counterfactual Reasoning,fbd_1827.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1828_q1,Image Description,fbd_1828.png,How many force arrows are shown in this diagram?,4
fbd_1828_q2,Basic Relational Reasoning,fbd_1828.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1828_q3,Comparative Reasoning,fbd_1828.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1828_q4,Compound Reasoning,fbd_1828.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 0.0}"
fbd_1828_q5,Extrapolative/Counterfactual Reasoning,fbd_1828.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1829_q1,Image Description,fbd_1829.png,How many force arrows are shown in this diagram?,2
fbd_1829_q2,Basic Relational Reasoning,fbd_1829.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1829_q3,Comparative Reasoning,fbd_1829.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1829_q4,Compound Reasoning,fbd_1829.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 114.38}"
fbd_1829_q5,Extrapolative/Counterfactual Reasoning,fbd_1829.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1830_q1,Image Description,fbd_1830.png,How many force arrows are shown in this diagram?,3
fbd_1830_q2,Basic Relational Reasoning,fbd_1830.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1830_q3,Comparative Reasoning,fbd_1830.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1830_q4,Compound Reasoning,fbd_1830.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_1830_q5,Extrapolative/Counterfactual Reasoning,fbd_1830.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_1831_q1,Image Description,fbd_1831.png,How many force arrows are shown in this diagram?,4
fbd_1831_q2,Basic Relational Reasoning,fbd_1831.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1831_q3,Comparative Reasoning,fbd_1831.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1831_q4,Compound Reasoning,fbd_1831.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 52.74, 'required_friction_coefficient': 0.67}"
fbd_1831_q5,Extrapolative/Counterfactual Reasoning,fbd_1831.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1832_q1,Image Description,fbd_1832.png,How many force arrows are shown in this diagram?,2
fbd_1832_q2,Basic Relational Reasoning,fbd_1832.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1832_q3,Comparative Reasoning,fbd_1832.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1832_q4,Compound Reasoning,fbd_1832.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 42.73, 'tension_magnitude': 93.82}"
fbd_1832_q5,Extrapolative/Counterfactual Reasoning,fbd_1832.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1833_q1,Image Description,fbd_1833.png,How many force arrows are shown in this diagram?,4
fbd_1833_q2,Basic Relational Reasoning,fbd_1833.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1833_q3,Comparative Reasoning,fbd_1833.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1833_q4,Compound Reasoning,fbd_1833.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 21.11, 'tension_magnitude': 214.66}"
fbd_1833_q5,Extrapolative/Counterfactual Reasoning,fbd_1833.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1834_q1,Image Description,fbd_1834.png,How many force arrows are shown in this diagram?,4
fbd_1834_q2,Basic Relational Reasoning,fbd_1834.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1834_q3,Comparative Reasoning,fbd_1834.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1834_q4,Compound Reasoning,fbd_1834.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 73.2}"
fbd_1834_q5,Extrapolative/Counterfactual Reasoning,fbd_1834.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (338.1 degrees; 0=right, 90=up)"
fbd_1835_q1,Image Description,fbd_1835.png,How many force arrows are shown in this diagram?,2
fbd_1835_q2,Basic Relational Reasoning,fbd_1835.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1835_q3,Comparative Reasoning,fbd_1835.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1835_q4,Compound Reasoning,fbd_1835.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 45.3, 'support_force_magnitude': 137.56}"
fbd_1835_q5,Extrapolative/Counterfactual Reasoning,fbd_1835.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1836_q1,Image Description,fbd_1836.png,How many force arrows are shown in this diagram?,3
fbd_1836_q2,Basic Relational Reasoning,fbd_1836.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1836_q3,Comparative Reasoning,fbd_1836.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1836_q4,Compound Reasoning,fbd_1836.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 17.03, 'required_friction_coefficient': 0.35}"
fbd_1836_q5,Extrapolative/Counterfactual Reasoning,fbd_1836.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250.5 degrees; 0=right, 90=up)"
fbd_1837_q1,Image Description,fbd_1837.png,How many force arrows are shown in this diagram?,3
fbd_1837_q2,Basic Relational Reasoning,fbd_1837.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1837_q3,Comparative Reasoning,fbd_1837.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1837_q4,Compound Reasoning,fbd_1837.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.39}"
fbd_1837_q5,Extrapolative/Counterfactual Reasoning,fbd_1837.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1838_q1,Image Description,fbd_1838.png,How many force arrows are shown in this diagram?,1
fbd_1838_q2,Basic Relational Reasoning,fbd_1838.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1838_q3,Comparative Reasoning,fbd_1838.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1838_q4,Compound Reasoning,fbd_1838.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 85.64}"
fbd_1838_q5,Extrapolative/Counterfactual Reasoning,fbd_1838.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1839_q1,Image Description,fbd_1839.png,How many force arrows are shown in this diagram?,3
fbd_1839_q2,Basic Relational Reasoning,fbd_1839.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1839_q3,Comparative Reasoning,fbd_1839.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1839_q4,Compound Reasoning,fbd_1839.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 66.71}"
fbd_1839_q5,Extrapolative/Counterfactual Reasoning,fbd_1839.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1840_q1,Image Description,fbd_1840.png,How many force arrows are shown in this diagram?,3
fbd_1840_q2,Basic Relational Reasoning,fbd_1840.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1840_q3,Comparative Reasoning,fbd_1840.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1840_q4,Compound Reasoning,fbd_1840.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0}"
fbd_1840_q5,Extrapolative/Counterfactual Reasoning,fbd_1840.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1841_q1,Image Description,fbd_1841.png,How many force arrows are shown in this diagram?,1
fbd_1841_q2,Basic Relational Reasoning,fbd_1841.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1841_q3,Comparative Reasoning,fbd_1841.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1841_q4,Compound Reasoning,fbd_1841.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 159.71}"
fbd_1841_q5,Extrapolative/Counterfactual Reasoning,fbd_1841.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1842_q1,Image Description,fbd_1842.png,How many force arrows are shown in this diagram?,2
fbd_1842_q2,Basic Relational Reasoning,fbd_1842.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1842_q3,Comparative Reasoning,fbd_1842.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1842_q4,Compound Reasoning,fbd_1842.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_1842_q5,Extrapolative/Counterfactual Reasoning,fbd_1842.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_1843_q1,Image Description,fbd_1843.png,How many force arrows are shown in this diagram?,4
fbd_1843_q2,Basic Relational Reasoning,fbd_1843.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1843_q3,Comparative Reasoning,fbd_1843.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1843_q4,Compound Reasoning,fbd_1843.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.44, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 118.0, 'magnitude': 106.71234}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 153.0, 'magnitude': 106.71234}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1843_q5,Extrapolative/Counterfactual Reasoning,fbd_1843.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1844_q1,Image Description,fbd_1844.png,How many force arrows are shown in this diagram?,2
fbd_1844_q2,Basic Relational Reasoning,fbd_1844.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1844_q3,Comparative Reasoning,fbd_1844.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1844_q4,Compound Reasoning,fbd_1844.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 140.58, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 140.5773}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 196.80822}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1844_q5,Extrapolative/Counterfactual Reasoning,fbd_1844.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1845_q1,Image Description,fbd_1845.png,How many force arrows are shown in this diagram?,4
fbd_1845_q2,Basic Relational Reasoning,fbd_1845.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1845_q3,Comparative Reasoning,fbd_1845.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1845_q4,Compound Reasoning,fbd_1845.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 73.28, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 73.2807}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 73.2807}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1845_q5,Extrapolative/Counterfactual Reasoning,fbd_1845.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1846_q1,Image Description,fbd_1846.png,How many force arrows are shown in this diagram?,4
fbd_1846_q2,Basic Relational Reasoning,fbd_1846.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1846_q3,Comparative Reasoning,fbd_1846.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1846_q4,Compound Reasoning,fbd_1846.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 295.66}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 413.924}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1846_q5,Extrapolative/Counterfactual Reasoning,fbd_1846.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1847_q1,Image Description,fbd_1847.png,How many force arrows are shown in this diagram?,2
fbd_1847_q2,Basic Relational Reasoning,fbd_1847.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1847_q3,Comparative Reasoning,fbd_1847.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1847_q4,Compound Reasoning,fbd_1847.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 66.22, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 66.2175}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 66.2175}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1847_q5,Extrapolative/Counterfactual Reasoning,fbd_1847.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1848_q1,Image Description,fbd_1848.png,How many force arrows are shown in this diagram?,3
fbd_1848_q2,Basic Relational Reasoning,fbd_1848.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1848_q3,Comparative Reasoning,fbd_1848.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1848_q4,Compound Reasoning,fbd_1848.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 67.0, 'magnitude': 181.686671}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 67.0, 'magnitude': 254.361339}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1848_q5,Extrapolative/Counterfactual Reasoning,fbd_1848.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_1849_q1,Image Description,fbd_1849.png,How many force arrows are shown in this diagram?,4
fbd_1849_q2,Basic Relational Reasoning,fbd_1849.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1849_q3,Comparative Reasoning,fbd_1849.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1849_q4,Compound Reasoning,fbd_1849.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_1849_q5,Extrapolative/Counterfactual Reasoning,fbd_1849.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1850_q1,Image Description,fbd_1850.png,How many force arrows are shown in this diagram?,2
fbd_1850_q2,Basic Relational Reasoning,fbd_1850.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1850_q3,Comparative Reasoning,fbd_1850.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1850_q4,Compound Reasoning,fbd_1850.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 172.07}"
fbd_1850_q5,Extrapolative/Counterfactual Reasoning,fbd_1850.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1851_q1,Image Description,fbd_1851.png,How many force arrows are shown in this diagram?,4
fbd_1851_q2,Basic Relational Reasoning,fbd_1851.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1851_q3,Comparative Reasoning,fbd_1851.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1851_q4,Compound Reasoning,fbd_1851.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 120.27}"
fbd_1851_q5,Extrapolative/Counterfactual Reasoning,fbd_1851.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1852_q1,Image Description,fbd_1852.png,How many force arrows are shown in this diagram?,4
fbd_1852_q2,Basic Relational Reasoning,fbd_1852.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1852_q3,Comparative Reasoning,fbd_1852.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1852_q4,Compound Reasoning,fbd_1852.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 0.0}"
fbd_1852_q5,Extrapolative/Counterfactual Reasoning,fbd_1852.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1853_q1,Image Description,fbd_1853.png,How many force arrows are shown in this diagram?,2
fbd_1853_q2,Basic Relational Reasoning,fbd_1853.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1853_q3,Comparative Reasoning,fbd_1853.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1853_q4,Compound Reasoning,fbd_1853.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 96.82}"
fbd_1853_q5,Extrapolative/Counterfactual Reasoning,fbd_1853.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1854_q1,Image Description,fbd_1854.png,How many force arrows are shown in this diagram?,3
fbd_1854_q2,Basic Relational Reasoning,fbd_1854.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1854_q3,Comparative Reasoning,fbd_1854.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1854_q4,Compound Reasoning,fbd_1854.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.32}"
fbd_1854_q5,Extrapolative/Counterfactual Reasoning,fbd_1854.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_1855_q1,Image Description,fbd_1855.png,How many force arrows are shown in this diagram?,4
fbd_1855_q2,Basic Relational Reasoning,fbd_1855.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1855_q3,Comparative Reasoning,fbd_1855.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1855_q4,Compound Reasoning,fbd_1855.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 33.21, 'required_friction_coefficient': 0.59}"
fbd_1855_q5,Extrapolative/Counterfactual Reasoning,fbd_1855.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1856_q1,Image Description,fbd_1856.png,How many force arrows are shown in this diagram?,2
fbd_1856_q2,Basic Relational Reasoning,fbd_1856.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1856_q3,Comparative Reasoning,fbd_1856.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1856_q4,Compound Reasoning,fbd_1856.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 43.26, 'tension_magnitude': 159.8}"
fbd_1856_q5,Extrapolative/Counterfactual Reasoning,fbd_1856.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1857_q1,Image Description,fbd_1857.png,How many force arrows are shown in this diagram?,4
fbd_1857_q2,Basic Relational Reasoning,fbd_1857.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1857_q3,Comparative Reasoning,fbd_1857.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1857_q4,Compound Reasoning,fbd_1857.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 31.91, 'tension_magnitude': 238.9}"
fbd_1857_q5,Extrapolative/Counterfactual Reasoning,fbd_1857.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1858_q1,Image Description,fbd_1858.png,How many force arrows are shown in this diagram?,4
fbd_1858_q2,Basic Relational Reasoning,fbd_1858.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1858_q3,Comparative Reasoning,fbd_1858.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1858_q4,Compound Reasoning,fbd_1858.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 53.24}"
fbd_1858_q5,Extrapolative/Counterfactual Reasoning,fbd_1858.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (348.5 degrees; 0=right, 90=up)"
fbd_1859_q1,Image Description,fbd_1859.png,How many force arrows are shown in this diagram?,2
fbd_1859_q2,Basic Relational Reasoning,fbd_1859.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1859_q3,Comparative Reasoning,fbd_1859.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1859_q4,Compound Reasoning,fbd_1859.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 43.63, 'support_force_magnitude': 218.35}"
fbd_1859_q5,Extrapolative/Counterfactual Reasoning,fbd_1859.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1860_q1,Image Description,fbd_1860.png,How many force arrows are shown in this diagram?,3
fbd_1860_q2,Basic Relational Reasoning,fbd_1860.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1860_q3,Comparative Reasoning,fbd_1860.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1860_q4,Compound Reasoning,fbd_1860.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 43.86, 'required_friction_coefficient': 0.27}"
fbd_1860_q5,Extrapolative/Counterfactual Reasoning,fbd_1860.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (255.1 degrees; 0=right, 90=up)"
fbd_1861_q1,Image Description,fbd_1861.png,How many force arrows are shown in this diagram?,3
fbd_1861_q2,Basic Relational Reasoning,fbd_1861.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1861_q3,Comparative Reasoning,fbd_1861.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1861_q4,Compound Reasoning,fbd_1861.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.54}"
fbd_1861_q5,Extrapolative/Counterfactual Reasoning,fbd_1861.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1862_q1,Image Description,fbd_1862.png,How many force arrows are shown in this diagram?,1
fbd_1862_q2,Basic Relational Reasoning,fbd_1862.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1862_q3,Comparative Reasoning,fbd_1862.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1862_q4,Compound Reasoning,fbd_1862.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 202.09}"
fbd_1862_q5,Extrapolative/Counterfactual Reasoning,fbd_1862.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1863_q1,Image Description,fbd_1863.png,How many force arrows are shown in this diagram?,3
fbd_1863_q2,Basic Relational Reasoning,fbd_1863.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1863_q3,Comparative Reasoning,fbd_1863.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1863_q4,Compound Reasoning,fbd_1863.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 119.88}"
fbd_1863_q5,Extrapolative/Counterfactual Reasoning,fbd_1863.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1864_q1,Image Description,fbd_1864.png,How many force arrows are shown in this diagram?,3
fbd_1864_q2,Basic Relational Reasoning,fbd_1864.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1864_q3,Comparative Reasoning,fbd_1864.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1864_q4,Compound Reasoning,fbd_1864.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 0.0}"
fbd_1864_q5,Extrapolative/Counterfactual Reasoning,fbd_1864.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1865_q1,Image Description,fbd_1865.png,How many force arrows are shown in this diagram?,1
fbd_1865_q2,Basic Relational Reasoning,fbd_1865.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1865_q3,Comparative Reasoning,fbd_1865.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1865_q4,Compound Reasoning,fbd_1865.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 204.83}"
fbd_1865_q5,Extrapolative/Counterfactual Reasoning,fbd_1865.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1866_q1,Image Description,fbd_1866.png,How many force arrows are shown in this diagram?,2
fbd_1866_q2,Basic Relational Reasoning,fbd_1866.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1866_q3,Comparative Reasoning,fbd_1866.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1866_q4,Compound Reasoning,fbd_1866.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29}"
fbd_1866_q5,Extrapolative/Counterfactual Reasoning,fbd_1866.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_1867_q1,Image Description,fbd_1867.png,How many force arrows are shown in this diagram?,4
fbd_1867_q2,Basic Relational Reasoning,fbd_1867.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1867_q3,Comparative Reasoning,fbd_1867.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1867_q4,Compound Reasoning,fbd_1867.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.61, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 126.0, 'magnitude': 122.618256}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 161.0, 'magnitude': 122.618256}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1867_q5,Extrapolative/Counterfactual Reasoning,fbd_1867.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1868_q1,Image Description,fbd_1868.png,How many force arrows are shown in this diagram?,2
fbd_1868_q2,Basic Relational Reasoning,fbd_1868.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1868_q3,Comparative Reasoning,fbd_1868.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1868_q4,Compound Reasoning,fbd_1868.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 153.82, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 153.8208}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 215.34912}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1868_q5,Extrapolative/Counterfactual Reasoning,fbd_1868.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1869_q1,Image Description,fbd_1869.png,How many force arrows are shown in this diagram?,4
fbd_1869_q2,Basic Relational Reasoning,fbd_1869.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1869_q3,Comparative Reasoning,fbd_1869.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1869_q4,Compound Reasoning,fbd_1869.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 180.9, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 180.8964}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 180.8964}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1869_q5,Extrapolative/Counterfactual Reasoning,fbd_1869.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1870_q1,Image Description,fbd_1870.png,How many force arrows are shown in this diagram?,4
fbd_1870_q2,Basic Relational Reasoning,fbd_1870.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1870_q3,Comparative Reasoning,fbd_1870.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1870_q4,Compound Reasoning,fbd_1870.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.68, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 163.47}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 228.858}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1870_q5,Extrapolative/Counterfactual Reasoning,fbd_1870.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1871_q1,Image Description,fbd_1871.png,How many force arrows are shown in this diagram?,2
fbd_1871_q2,Basic Relational Reasoning,fbd_1871.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1871_q3,Comparative Reasoning,fbd_1871.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1871_q4,Compound Reasoning,fbd_1871.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 134.5, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 134.4951}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 134.4951}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1871_q5,Extrapolative/Counterfactual Reasoning,fbd_1871.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1872_q1,Image Description,fbd_1872.png,How many force arrows are shown in this diagram?,3
fbd_1872_q2,Basic Relational Reasoning,fbd_1872.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1872_q3,Comparative Reasoning,fbd_1872.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1872_q4,Compound Reasoning,fbd_1872.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 70.0, 'magnitude': 95.410281}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 70.0, 'magnitude': 133.574393}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1872_q5,Extrapolative/Counterfactual Reasoning,fbd_1872.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_1873_q1,Image Description,fbd_1873.png,How many force arrows are shown in this diagram?,4
fbd_1873_q2,Basic Relational Reasoning,fbd_1873.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1873_q3,Comparative Reasoning,fbd_1873.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1873_q4,Compound Reasoning,fbd_1873.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.6}"
fbd_1873_q5,Extrapolative/Counterfactual Reasoning,fbd_1873.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1874_q1,Image Description,fbd_1874.png,How many force arrows are shown in this diagram?,2
fbd_1874_q2,Basic Relational Reasoning,fbd_1874.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1874_q3,Comparative Reasoning,fbd_1874.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1874_q4,Compound Reasoning,fbd_1874.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 155.78}"
fbd_1874_q5,Extrapolative/Counterfactual Reasoning,fbd_1874.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1875_q1,Image Description,fbd_1875.png,How many force arrows are shown in this diagram?,4
fbd_1875_q2,Basic Relational Reasoning,fbd_1875.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1875_q3,Comparative Reasoning,fbd_1875.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1875_q4,Compound Reasoning,fbd_1875.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 96.82}"
fbd_1875_q5,Extrapolative/Counterfactual Reasoning,fbd_1875.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1876_q1,Image Description,fbd_1876.png,How many force arrows are shown in this diagram?,4
fbd_1876_q2,Basic Relational Reasoning,fbd_1876.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1876_q3,Comparative Reasoning,fbd_1876.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1876_q4,Compound Reasoning,fbd_1876.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 0.0}"
fbd_1876_q5,Extrapolative/Counterfactual Reasoning,fbd_1876.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1877_q1,Image Description,fbd_1877.png,How many force arrows are shown in this diagram?,2
fbd_1877_q2,Basic Relational Reasoning,fbd_1877.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1877_q3,Comparative Reasoning,fbd_1877.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1877_q4,Compound Reasoning,fbd_1877.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 83.09}"
fbd_1877_q5,Extrapolative/Counterfactual Reasoning,fbd_1877.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1878_q1,Image Description,fbd_1878.png,How many force arrows are shown in this diagram?,3
fbd_1878_q2,Basic Relational Reasoning,fbd_1878.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1878_q3,Comparative Reasoning,fbd_1878.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1878_q4,Compound Reasoning,fbd_1878.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_1878_q5,Extrapolative/Counterfactual Reasoning,fbd_1878.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_1879_q1,Image Description,fbd_1879.png,How many force arrows are shown in this diagram?,4
fbd_1879_q2,Basic Relational Reasoning,fbd_1879.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1879_q3,Comparative Reasoning,fbd_1879.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['A'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1879_q4,Compound Reasoning,fbd_1879.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 83.25, 'required_friction_coefficient': 0.59}"
fbd_1879_q5,Extrapolative/Counterfactual Reasoning,fbd_1879.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1880_q1,Image Description,fbd_1880.png,How many force arrows are shown in this diagram?,2
fbd_1880_q2,Basic Relational Reasoning,fbd_1880.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1880_q3,Comparative Reasoning,fbd_1880.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1880_q4,Compound Reasoning,fbd_1880.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 41.79, 'tension_magnitude': 139.6}"
fbd_1880_q5,Extrapolative/Counterfactual Reasoning,fbd_1880.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1881_q1,Image Description,fbd_1881.png,How many force arrows are shown in this diagram?,4
fbd_1881_q2,Basic Relational Reasoning,fbd_1881.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1881_q3,Comparative Reasoning,fbd_1881.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1881_q4,Compound Reasoning,fbd_1881.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 33.58, 'tension_magnitude': 140.7}"
fbd_1881_q5,Extrapolative/Counterfactual Reasoning,fbd_1881.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1882_q1,Image Description,fbd_1882.png,How many force arrows are shown in this diagram?,4
fbd_1882_q2,Basic Relational Reasoning,fbd_1882.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1882_q3,Comparative Reasoning,fbd_1882.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1882_q4,Compound Reasoning,fbd_1882.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 43.3}"
fbd_1882_q5,Extrapolative/Counterfactual Reasoning,fbd_1882.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (349.7 degrees; 0=right, 90=up)"
fbd_1883_q1,Image Description,fbd_1883.png,How many force arrows are shown in this diagram?,2
fbd_1883_q2,Basic Relational Reasoning,fbd_1883.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1883_q3,Comparative Reasoning,fbd_1883.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1883_q4,Compound Reasoning,fbd_1883.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 23.63, 'support_force_magnitude': 189.22}"
fbd_1883_q5,Extrapolative/Counterfactual Reasoning,fbd_1883.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1884_q1,Image Description,fbd_1884.png,How many force arrows are shown in this diagram?,3
fbd_1884_q2,Basic Relational Reasoning,fbd_1884.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1884_q3,Comparative Reasoning,fbd_1884.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1884_q4,Compound Reasoning,fbd_1884.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 55.29, 'required_friction_coefficient': 0.1}"
fbd_1884_q5,Extrapolative/Counterfactual Reasoning,fbd_1884.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (264.4 degrees; 0=right, 90=up)"
fbd_1885_q1,Image Description,fbd_1885.png,How many force arrows are shown in this diagram?,3
fbd_1885_q2,Basic Relational Reasoning,fbd_1885.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1885_q3,Comparative Reasoning,fbd_1885.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1885_q4,Compound Reasoning,fbd_1885.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45}"
fbd_1885_q5,Extrapolative/Counterfactual Reasoning,fbd_1885.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1886_q1,Image Description,fbd_1886.png,How many force arrows are shown in this diagram?,1
fbd_1886_q2,Basic Relational Reasoning,fbd_1886.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1886_q3,Comparative Reasoning,fbd_1886.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1886_q4,Compound Reasoning,fbd_1886.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 64.26}"
fbd_1886_q5,Extrapolative/Counterfactual Reasoning,fbd_1886.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1887_q1,Image Description,fbd_1887.png,How many force arrows are shown in this diagram?,3
fbd_1887_q2,Basic Relational Reasoning,fbd_1887.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1887_q3,Comparative Reasoning,fbd_1887.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1887_q4,Compound Reasoning,fbd_1887.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 113.4}"
fbd_1887_q5,Extrapolative/Counterfactual Reasoning,fbd_1887.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1888_q1,Image Description,fbd_1888.png,How many force arrows are shown in this diagram?,3
fbd_1888_q2,Basic Relational Reasoning,fbd_1888.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1888_q3,Comparative Reasoning,fbd_1888.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1888_q4,Compound Reasoning,fbd_1888.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0}"
fbd_1888_q5,Extrapolative/Counterfactual Reasoning,fbd_1888.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1889_q1,Image Description,fbd_1889.png,How many force arrows are shown in this diagram?,1
fbd_1889_q2,Basic Relational Reasoning,fbd_1889.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1889_q3,Comparative Reasoning,fbd_1889.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1889_q4,Compound Reasoning,fbd_1889.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 106.54}"
fbd_1889_q5,Extrapolative/Counterfactual Reasoning,fbd_1889.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1890_q1,Image Description,fbd_1890.png,How many force arrows are shown in this diagram?,2
fbd_1890_q2,Basic Relational Reasoning,fbd_1890.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1890_q3,Comparative Reasoning,fbd_1890.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1890_q4,Compound Reasoning,fbd_1890.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45}"
fbd_1890_q5,Extrapolative/Counterfactual Reasoning,fbd_1890.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (246 degrees; 0=right, 90=up)"
fbd_1891_q1,Image Description,fbd_1891.png,How many force arrows are shown in this diagram?,4
fbd_1891_q2,Basic Relational Reasoning,fbd_1891.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1891_q3,Comparative Reasoning,fbd_1891.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1891_q4,Compound Reasoning,fbd_1891.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.43, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 115.0, 'magnitude': 155.501481}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 150.0, 'magnitude': 155.501481}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1891_q5,Extrapolative/Counterfactual Reasoning,fbd_1891.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1892_q1,Image Description,fbd_1892.png,How many force arrows are shown in this diagram?,2
fbd_1892_q2,Basic Relational Reasoning,fbd_1892.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1892_q3,Comparative Reasoning,fbd_1892.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1892_q4,Compound Reasoning,fbd_1892.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 213.07, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 213.0732}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 298.30248}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1892_q5,Extrapolative/Counterfactual Reasoning,fbd_1892.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1893_q1,Image Description,fbd_1893.png,How many force arrows are shown in this diagram?,4
fbd_1893_q2,Basic Relational Reasoning,fbd_1893.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1893_q3,Comparative Reasoning,fbd_1893.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1893_q4,Compound Reasoning,fbd_1893.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 175.3, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 175.3047}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 175.3047}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1893_q5,Extrapolative/Counterfactual Reasoning,fbd_1893.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1894_q1,Image Description,fbd_1894.png,How many force arrows are shown in this diagram?,4
fbd_1894_q2,Basic Relational Reasoning,fbd_1894.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1894_q3,Comparative Reasoning,fbd_1894.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1894_q4,Compound Reasoning,fbd_1894.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 347.32}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 486.248}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1894_q5,Extrapolative/Counterfactual Reasoning,fbd_1894.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1895_q1,Image Description,fbd_1895.png,How many force arrows are shown in this diagram?,2
fbd_1895_q2,Basic Relational Reasoning,fbd_1895.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1895_q3,Comparative Reasoning,fbd_1895.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1895_q4,Compound Reasoning,fbd_1895.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 195.42, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 195.4152}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 195.4152}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1895_q5,Extrapolative/Counterfactual Reasoning,fbd_1895.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1896_q1,Image Description,fbd_1896.png,How many force arrows are shown in this diagram?,3
fbd_1896_q2,Basic Relational Reasoning,fbd_1896.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1896_q3,Comparative Reasoning,fbd_1896.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1896_q4,Compound Reasoning,fbd_1896.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 71.0, 'magnitude': 156.756579}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 71.0, 'magnitude': 219.459211}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1896_q5,Extrapolative/Counterfactual Reasoning,fbd_1896.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_1897_q1,Image Description,fbd_1897.png,How many force arrows are shown in this diagram?,4
fbd_1897_q2,Basic Relational Reasoning,fbd_1897.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1897_q3,Comparative Reasoning,fbd_1897.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1897_q4,Compound Reasoning,fbd_1897.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.52}"
fbd_1897_q5,Extrapolative/Counterfactual Reasoning,fbd_1897.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1898_q1,Image Description,fbd_1898.png,How many force arrows are shown in this diagram?,2
fbd_1898_q2,Basic Relational Reasoning,fbd_1898.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1898_q3,Comparative Reasoning,fbd_1898.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1898_q4,Compound Reasoning,fbd_1898.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 107.32}"
fbd_1898_q5,Extrapolative/Counterfactual Reasoning,fbd_1898.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1899_q1,Image Description,fbd_1899.png,How many force arrows are shown in this diagram?,4
fbd_1899_q2,Basic Relational Reasoning,fbd_1899.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1899_q3,Comparative Reasoning,fbd_1899.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1899_q4,Compound Reasoning,fbd_1899.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 82.31}"
fbd_1899_q5,Extrapolative/Counterfactual Reasoning,fbd_1899.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1900_q1,Image Description,fbd_1900.png,How many force arrows are shown in this diagram?,4
fbd_1900_q2,Basic Relational Reasoning,fbd_1900.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1900_q3,Comparative Reasoning,fbd_1900.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1900_q4,Compound Reasoning,fbd_1900.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.7, 'net_force_N': 0.0}"
fbd_1900_q5,Extrapolative/Counterfactual Reasoning,fbd_1900.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1901_q1,Image Description,fbd_1901.png,How many force arrows are shown in this diagram?,2
fbd_1901_q2,Basic Relational Reasoning,fbd_1901.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1901_q3,Comparative Reasoning,fbd_1901.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1901_q4,Compound Reasoning,fbd_1901.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 141.26}"
fbd_1901_q5,Extrapolative/Counterfactual Reasoning,fbd_1901.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1902_q1,Image Description,fbd_1902.png,How many force arrows are shown in this diagram?,3
fbd_1902_q2,Basic Relational Reasoning,fbd_1902.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1902_q3,Comparative Reasoning,fbd_1902.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1902_q4,Compound Reasoning,fbd_1902.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_1902_q5,Extrapolative/Counterfactual Reasoning,fbd_1902.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_1903_q1,Image Description,fbd_1903.png,How many force arrows are shown in this diagram?,4
fbd_1903_q2,Basic Relational Reasoning,fbd_1903.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1903_q3,Comparative Reasoning,fbd_1903.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1903_q4,Compound Reasoning,fbd_1903.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 47.72, 'required_friction_coefficient': 0.42}"
fbd_1903_q5,Extrapolative/Counterfactual Reasoning,fbd_1903.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1904_q1,Image Description,fbd_1904.png,How many force arrows are shown in this diagram?,2
fbd_1904_q2,Basic Relational Reasoning,fbd_1904.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1904_q3,Comparative Reasoning,fbd_1904.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1904_q4,Compound Reasoning,fbd_1904.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 17.7, 'tension_magnitude': 116.89}"
fbd_1904_q5,Extrapolative/Counterfactual Reasoning,fbd_1904.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1905_q1,Image Description,fbd_1905.png,How many force arrows are shown in this diagram?,4
fbd_1905_q2,Basic Relational Reasoning,fbd_1905.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1905_q3,Comparative Reasoning,fbd_1905.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1905_q4,Compound Reasoning,fbd_1905.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 25.25, 'tension_magnitude': 100.5}"
fbd_1905_q5,Extrapolative/Counterfactual Reasoning,fbd_1905.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1906_q1,Image Description,fbd_1906.png,How many force arrows are shown in this diagram?,4
fbd_1906_q2,Basic Relational Reasoning,fbd_1906.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1906_q3,Comparative Reasoning,fbd_1906.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1906_q4,Compound Reasoning,fbd_1906.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 43.87}"
fbd_1906_q5,Extrapolative/Counterfactual Reasoning,fbd_1906.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (345.6 degrees; 0=right, 90=up)"
fbd_1907_q1,Image Description,fbd_1907.png,How many force arrows are shown in this diagram?,2
fbd_1907_q2,Basic Relational Reasoning,fbd_1907.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1907_q3,Comparative Reasoning,fbd_1907.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1907_q4,Compound Reasoning,fbd_1907.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 27.72, 'support_force_magnitude': 124.15}"
fbd_1907_q5,Extrapolative/Counterfactual Reasoning,fbd_1907.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1908_q1,Image Description,fbd_1908.png,How many force arrows are shown in this diagram?,3
fbd_1908_q2,Basic Relational Reasoning,fbd_1908.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1908_q3,Comparative Reasoning,fbd_1908.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1908_q4,Compound Reasoning,fbd_1908.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 16.9, 'required_friction_coefficient': 0.28}"
fbd_1908_q5,Extrapolative/Counterfactual Reasoning,fbd_1908.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254.4 degrees; 0=right, 90=up)"
fbd_1909_q1,Image Description,fbd_1909.png,How many force arrows are shown in this diagram?,3
fbd_1909_q2,Basic Relational Reasoning,fbd_1909.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1909_q3,Comparative Reasoning,fbd_1909.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1909_q4,Compound Reasoning,fbd_1909.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.63}"
fbd_1909_q5,Extrapolative/Counterfactual Reasoning,fbd_1909.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1910_q1,Image Description,fbd_1910.png,How many force arrows are shown in this diagram?,1
fbd_1910_q2,Basic Relational Reasoning,fbd_1910.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1910_q3,Comparative Reasoning,fbd_1910.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1910_q4,Compound Reasoning,fbd_1910.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 68.67}"
fbd_1910_q5,Extrapolative/Counterfactual Reasoning,fbd_1910.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1911_q1,Image Description,fbd_1911.png,How many force arrows are shown in this diagram?,3
fbd_1911_q2,Basic Relational Reasoning,fbd_1911.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1911_q3,Comparative Reasoning,fbd_1911.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1911_q4,Compound Reasoning,fbd_1911.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 113.8}"
fbd_1911_q5,Extrapolative/Counterfactual Reasoning,fbd_1911.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1912_q1,Image Description,fbd_1912.png,How many force arrows are shown in this diagram?,3
fbd_1912_q2,Basic Relational Reasoning,fbd_1912.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1912_q3,Comparative Reasoning,fbd_1912.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1912_q4,Compound Reasoning,fbd_1912.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 0.0}"
fbd_1912_q5,Extrapolative/Counterfactual Reasoning,fbd_1912.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1913_q1,Image Description,fbd_1913.png,How many force arrows are shown in this diagram?,1
fbd_1913_q2,Basic Relational Reasoning,fbd_1913.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1913_q3,Comparative Reasoning,fbd_1913.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1913_q4,Compound Reasoning,fbd_1913.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 137.83}"
fbd_1913_q5,Extrapolative/Counterfactual Reasoning,fbd_1913.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1914_q1,Image Description,fbd_1914.png,How many force arrows are shown in this diagram?,2
fbd_1914_q2,Basic Relational Reasoning,fbd_1914.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1914_q3,Comparative Reasoning,fbd_1914.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1914_q4,Compound Reasoning,fbd_1914.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34}"
fbd_1914_q5,Extrapolative/Counterfactual Reasoning,fbd_1914.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_1915_q1,Image Description,fbd_1915.png,How many force arrows are shown in this diagram?,4
fbd_1915_q2,Basic Relational Reasoning,fbd_1915.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1915_q3,Comparative Reasoning,fbd_1915.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1915_q4,Compound Reasoning,fbd_1915.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 120.0, 'magnitude': 121.148813}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 155.0, 'magnitude': 121.148813}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1915_q5,Extrapolative/Counterfactual Reasoning,fbd_1915.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1916_q1,Image Description,fbd_1916.png,How many force arrows are shown in this diagram?,2
fbd_1916_q2,Basic Relational Reasoning,fbd_1916.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1916_q3,Comparative Reasoning,fbd_1916.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1916_q4,Compound Reasoning,fbd_1916.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 66.12, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 66.1194}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 92.56716}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1916_q5,Extrapolative/Counterfactual Reasoning,fbd_1916.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1917_q1,Image Description,fbd_1917.png,How many force arrows are shown in this diagram?,4
fbd_1917_q2,Basic Relational Reasoning,fbd_1917.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1917_q3,Comparative Reasoning,fbd_1917.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1917_q4,Compound Reasoning,fbd_1917.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 95.16, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 95.157}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 95.157}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1917_q5,Extrapolative/Counterfactual Reasoning,fbd_1917.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1918_q1,Image Description,fbd_1918.png,How many force arrows are shown in this diagram?,4
fbd_1918_q2,Basic Relational Reasoning,fbd_1918.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1918_q3,Comparative Reasoning,fbd_1918.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1918_q4,Compound Reasoning,fbd_1918.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 102.67}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 143.738}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1918_q5,Extrapolative/Counterfactual Reasoning,fbd_1918.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1919_q1,Image Description,fbd_1919.png,How many force arrows are shown in this diagram?,2
fbd_1919_q2,Basic Relational Reasoning,fbd_1919.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1919_q3,Comparative Reasoning,fbd_1919.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1919_q4,Compound Reasoning,fbd_1919.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 111.93, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 111.9321}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 111.9321}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1919_q5,Extrapolative/Counterfactual Reasoning,fbd_1919.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1920_q1,Image Description,fbd_1920.png,How many force arrows are shown in this diagram?,3
fbd_1920_q2,Basic Relational Reasoning,fbd_1920.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1920_q3,Comparative Reasoning,fbd_1920.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1920_q4,Compound Reasoning,fbd_1920.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 60.0, 'magnitude': 118.005401}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 60.0, 'magnitude': 165.207561}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1920_q5,Extrapolative/Counterfactual Reasoning,fbd_1920.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_1921_q1,Image Description,fbd_1921.png,How many force arrows are shown in this diagram?,4
fbd_1921_q2,Basic Relational Reasoning,fbd_1921.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1921_q3,Comparative Reasoning,fbd_1921.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1921_q4,Compound Reasoning,fbd_1921.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.41}"
fbd_1921_q5,Extrapolative/Counterfactual Reasoning,fbd_1921.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1922_q1,Image Description,fbd_1922.png,How many force arrows are shown in this diagram?,2
fbd_1922_q2,Basic Relational Reasoning,fbd_1922.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1922_q3,Comparative Reasoning,fbd_1922.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1922_q4,Compound Reasoning,fbd_1922.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 63.96}"
fbd_1922_q5,Extrapolative/Counterfactual Reasoning,fbd_1922.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1923_q1,Image Description,fbd_1923.png,How many force arrows are shown in this diagram?,4
fbd_1923_q2,Basic Relational Reasoning,fbd_1923.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1923_q3,Comparative Reasoning,fbd_1923.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1923_q4,Compound Reasoning,fbd_1923.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 134.99}"
fbd_1923_q5,Extrapolative/Counterfactual Reasoning,fbd_1923.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1924_q1,Image Description,fbd_1924.png,How many force arrows are shown in this diagram?,4
fbd_1924_q2,Basic Relational Reasoning,fbd_1924.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1924_q3,Comparative Reasoning,fbd_1924.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1924_q4,Compound Reasoning,fbd_1924.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0}"
fbd_1924_q5,Extrapolative/Counterfactual Reasoning,fbd_1924.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1925_q1,Image Description,fbd_1925.png,How many force arrows are shown in this diagram?,2
fbd_1925_q2,Basic Relational Reasoning,fbd_1925.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1925_q3,Comparative Reasoning,fbd_1925.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1925_q4,Compound Reasoning,fbd_1925.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 81.91}"
fbd_1925_q5,Extrapolative/Counterfactual Reasoning,fbd_1925.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1926_q1,Image Description,fbd_1926.png,How many force arrows are shown in this diagram?,3
fbd_1926_q2,Basic Relational Reasoning,fbd_1926.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1926_q3,Comparative Reasoning,fbd_1926.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1926_q4,Compound Reasoning,fbd_1926.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_1926_q5,Extrapolative/Counterfactual Reasoning,fbd_1926.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_1927_q1,Image Description,fbd_1927.png,How many force arrows are shown in this diagram?,4
fbd_1927_q2,Basic Relational Reasoning,fbd_1927.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1927_q3,Comparative Reasoning,fbd_1927.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1927_q4,Compound Reasoning,fbd_1927.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 59.57, 'required_friction_coefficient': 0.65}"
fbd_1927_q5,Extrapolative/Counterfactual Reasoning,fbd_1927.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1928_q1,Image Description,fbd_1928.png,How many force arrows are shown in this diagram?,2
fbd_1928_q2,Basic Relational Reasoning,fbd_1928.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1928_q3,Comparative Reasoning,fbd_1928.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1928_q4,Compound Reasoning,fbd_1928.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 24.63, 'tension_magnitude': 55.12}"
fbd_1928_q5,Extrapolative/Counterfactual Reasoning,fbd_1928.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1929_q1,Image Description,fbd_1929.png,How many force arrows are shown in this diagram?,4
fbd_1929_q2,Basic Relational Reasoning,fbd_1929.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1929_q3,Comparative Reasoning,fbd_1929.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1929_q4,Compound Reasoning,fbd_1929.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 30.09, 'tension_magnitude': 209.41}"
fbd_1929_q5,Extrapolative/Counterfactual Reasoning,fbd_1929.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1930_q1,Image Description,fbd_1930.png,How many force arrows are shown in this diagram?,4
fbd_1930_q2,Basic Relational Reasoning,fbd_1930.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1930_q3,Comparative Reasoning,fbd_1930.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1930_q4,Compound Reasoning,fbd_1930.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 81.03}"
fbd_1930_q5,Extrapolative/Counterfactual Reasoning,fbd_1930.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (346.3 degrees; 0=right, 90=up)"
fbd_1931_q1,Image Description,fbd_1931.png,How many force arrows are shown in this diagram?,2
fbd_1931_q2,Basic Relational Reasoning,fbd_1931.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1931_q3,Comparative Reasoning,fbd_1931.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1931_q4,Compound Reasoning,fbd_1931.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 53.7, 'support_force_magnitude': 129.85}"
fbd_1931_q5,Extrapolative/Counterfactual Reasoning,fbd_1931.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1932_q1,Image Description,fbd_1932.png,How many force arrows are shown in this diagram?,3
fbd_1932_q2,Basic Relational Reasoning,fbd_1932.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1932_q3,Comparative Reasoning,fbd_1932.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1932_q4,Compound Reasoning,fbd_1932.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 32.23, 'required_friction_coefficient': 0.15}"
fbd_1932_q5,Extrapolative/Counterfactual Reasoning,fbd_1932.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (261.2 degrees; 0=right, 90=up)"
fbd_1933_q1,Image Description,fbd_1933.png,How many force arrows are shown in this diagram?,3
fbd_1933_q2,Basic Relational Reasoning,fbd_1933.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1933_q3,Comparative Reasoning,fbd_1933.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1933_q4,Compound Reasoning,fbd_1933.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_1933_q5,Extrapolative/Counterfactual Reasoning,fbd_1933.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1934_q1,Image Description,fbd_1934.png,How many force arrows are shown in this diagram?,1
fbd_1934_q2,Basic Relational Reasoning,fbd_1934.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1934_q3,Comparative Reasoning,fbd_1934.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1934_q4,Compound Reasoning,fbd_1934.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 101.14}"
fbd_1934_q5,Extrapolative/Counterfactual Reasoning,fbd_1934.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1935_q1,Image Description,fbd_1935.png,How many force arrows are shown in this diagram?,3
fbd_1935_q2,Basic Relational Reasoning,fbd_1935.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1935_q3,Comparative Reasoning,fbd_1935.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1935_q4,Compound Reasoning,fbd_1935.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 82.21}"
fbd_1935_q5,Extrapolative/Counterfactual Reasoning,fbd_1935.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1936_q1,Image Description,fbd_1936.png,How many force arrows are shown in this diagram?,3
fbd_1936_q2,Basic Relational Reasoning,fbd_1936.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1936_q3,Comparative Reasoning,fbd_1936.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1936_q4,Compound Reasoning,fbd_1936.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 0.0}"
fbd_1936_q5,Extrapolative/Counterfactual Reasoning,fbd_1936.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1937_q1,Image Description,fbd_1937.png,How many force arrows are shown in this diagram?,1
fbd_1937_q2,Basic Relational Reasoning,fbd_1937.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1937_q3,Comparative Reasoning,fbd_1937.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1937_q4,Compound Reasoning,fbd_1937.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 151.66}"
fbd_1937_q5,Extrapolative/Counterfactual Reasoning,fbd_1937.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1938_q1,Image Description,fbd_1938.png,How many force arrows are shown in this diagram?,2
fbd_1938_q2,Basic Relational Reasoning,fbd_1938.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1938_q3,Comparative Reasoning,fbd_1938.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1938_q4,Compound Reasoning,fbd_1938.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_1938_q5,Extrapolative/Counterfactual Reasoning,fbd_1938.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_1939_q1,Image Description,fbd_1939.png,How many force arrows are shown in this diagram?,4
fbd_1939_q2,Basic Relational Reasoning,fbd_1939.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1939_q3,Comparative Reasoning,fbd_1939.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1939_q4,Compound Reasoning,fbd_1939.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.6, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 126.0, 'magnitude': 120.872236}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 161.0, 'magnitude': 120.872236}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1939_q5,Extrapolative/Counterfactual Reasoning,fbd_1939.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_1940_q1,Image Description,fbd_1940.png,How many force arrows are shown in this diagram?,2
fbd_1940_q2,Basic Relational Reasoning,fbd_1940.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1940_q3,Comparative Reasoning,fbd_1940.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1940_q4,Compound Reasoning,fbd_1940.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 172.75, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 172.7541}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 241.85574}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1940_q5,Extrapolative/Counterfactual Reasoning,fbd_1940.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1941_q1,Image Description,fbd_1941.png,How many force arrows are shown in this diagram?,4
fbd_1941_q2,Basic Relational Reasoning,fbd_1941.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1941_q3,Comparative Reasoning,fbd_1941.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1941_q4,Compound Reasoning,fbd_1941.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 135.97, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 135.9666}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 135.9666}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1941_q5,Extrapolative/Counterfactual Reasoning,fbd_1941.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1942_q1,Image Description,fbd_1942.png,How many force arrows are shown in this diagram?,4
fbd_1942_q2,Basic Relational Reasoning,fbd_1942.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1942_q3,Comparative Reasoning,fbd_1942.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1942_q4,Compound Reasoning,fbd_1942.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 339.56}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 475.384}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1942_q5,Extrapolative/Counterfactual Reasoning,fbd_1942.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1943_q1,Image Description,fbd_1943.png,How many force arrows are shown in this diagram?,2
fbd_1943_q2,Basic Relational Reasoning,fbd_1943.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1943_q3,Comparative Reasoning,fbd_1943.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1943_q4,Compound Reasoning,fbd_1943.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 167.95, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 167.9472}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 167.9472}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1943_q5,Extrapolative/Counterfactual Reasoning,fbd_1943.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1944_q1,Image Description,fbd_1944.png,How many force arrows are shown in this diagram?,3
fbd_1944_q2,Basic Relational Reasoning,fbd_1944.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1944_q3,Comparative Reasoning,fbd_1944.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1944_q4,Compound Reasoning,fbd_1944.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 70.0, 'magnitude': 63.699038}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 70.0, 'magnitude': 89.178653}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1944_q5,Extrapolative/Counterfactual Reasoning,fbd_1944.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_1945_q1,Image Description,fbd_1945.png,How many force arrows are shown in this diagram?,4
fbd_1945_q2,Basic Relational Reasoning,fbd_1945.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1945_q3,Comparative Reasoning,fbd_1945.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1945_q4,Compound Reasoning,fbd_1945.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.44}"
fbd_1945_q5,Extrapolative/Counterfactual Reasoning,fbd_1945.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1946_q1,Image Description,fbd_1946.png,How many force arrows are shown in this diagram?,2
fbd_1946_q2,Basic Relational Reasoning,fbd_1946.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1946_q3,Comparative Reasoning,fbd_1946.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1946_q4,Compound Reasoning,fbd_1946.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 198.46}"
fbd_1946_q5,Extrapolative/Counterfactual Reasoning,fbd_1946.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1947_q1,Image Description,fbd_1947.png,How many force arrows are shown in this diagram?,4
fbd_1947_q2,Basic Relational Reasoning,fbd_1947.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1947_q3,Comparative Reasoning,fbd_1947.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1947_q4,Compound Reasoning,fbd_1947.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 173.64}"
fbd_1947_q5,Extrapolative/Counterfactual Reasoning,fbd_1947.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1948_q1,Image Description,fbd_1948.png,How many force arrows are shown in this diagram?,4
fbd_1948_q2,Basic Relational Reasoning,fbd_1948.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1948_q3,Comparative Reasoning,fbd_1948.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1948_q4,Compound Reasoning,fbd_1948.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.65, 'net_force_N': 0.0}"
fbd_1948_q5,Extrapolative/Counterfactual Reasoning,fbd_1948.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1949_q1,Image Description,fbd_1949.png,How many force arrows are shown in this diagram?,2
fbd_1949_q2,Basic Relational Reasoning,fbd_1949.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1949_q3,Comparative Reasoning,fbd_1949.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1949_q4,Compound Reasoning,fbd_1949.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 145.38}"
fbd_1949_q5,Extrapolative/Counterfactual Reasoning,fbd_1949.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1950_q1,Image Description,fbd_1950.png,How many force arrows are shown in this diagram?,3
fbd_1950_q2,Basic Relational Reasoning,fbd_1950.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1950_q3,Comparative Reasoning,fbd_1950.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1950_q4,Compound Reasoning,fbd_1950.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_1950_q5,Extrapolative/Counterfactual Reasoning,fbd_1950.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (241 degrees; 0=right, 90=up)"
fbd_1951_q1,Image Description,fbd_1951.png,How many force arrows are shown in this diagram?,4
fbd_1951_q2,Basic Relational Reasoning,fbd_1951.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1951_q3,Comparative Reasoning,fbd_1951.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1951_q4,Compound Reasoning,fbd_1951.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 28.61, 'required_friction_coefficient': 0.6}"
fbd_1951_q5,Extrapolative/Counterfactual Reasoning,fbd_1951.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1952_q1,Image Description,fbd_1952.png,How many force arrows are shown in this diagram?,2
fbd_1952_q2,Basic Relational Reasoning,fbd_1952.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1952_q3,Comparative Reasoning,fbd_1952.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1952_q4,Compound Reasoning,fbd_1952.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 31.29, 'tension_magnitude': 140.19}"
fbd_1952_q5,Extrapolative/Counterfactual Reasoning,fbd_1952.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1953_q1,Image Description,fbd_1953.png,How many force arrows are shown in this diagram?,4
fbd_1953_q2,Basic Relational Reasoning,fbd_1953.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1953_q3,Comparative Reasoning,fbd_1953.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1953_q4,Compound Reasoning,fbd_1953.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 29.25, 'tension_magnitude': 201.81}"
fbd_1953_q5,Extrapolative/Counterfactual Reasoning,fbd_1953.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1954_q1,Image Description,fbd_1954.png,How many force arrows are shown in this diagram?,4
fbd_1954_q2,Basic Relational Reasoning,fbd_1954.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1954_q3,Comparative Reasoning,fbd_1954.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1954_q4,Compound Reasoning,fbd_1954.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 62.72}"
fbd_1954_q5,Extrapolative/Counterfactual Reasoning,fbd_1954.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (345.4 degrees; 0=right, 90=up)"
fbd_1955_q1,Image Description,fbd_1955.png,How many force arrows are shown in this diagram?,2
fbd_1955_q2,Basic Relational Reasoning,fbd_1955.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1955_q3,Comparative Reasoning,fbd_1955.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1955_q4,Compound Reasoning,fbd_1955.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 39.98, 'support_force_magnitude': 134.34}"
fbd_1955_q5,Extrapolative/Counterfactual Reasoning,fbd_1955.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1956_q1,Image Description,fbd_1956.png,How many force arrows are shown in this diagram?,3
fbd_1956_q2,Basic Relational Reasoning,fbd_1956.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1956_q3,Comparative Reasoning,fbd_1956.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1956_q4,Compound Reasoning,fbd_1956.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 44.67, 'required_friction_coefficient': 0.27}"
fbd_1956_q5,Extrapolative/Counterfactual Reasoning,fbd_1956.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254.7 degrees; 0=right, 90=up)"
fbd_1957_q1,Image Description,fbd_1957.png,How many force arrows are shown in this diagram?,3
fbd_1957_q2,Basic Relational Reasoning,fbd_1957.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1957_q3,Comparative Reasoning,fbd_1957.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1957_q4,Compound Reasoning,fbd_1957.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.46}"
fbd_1957_q5,Extrapolative/Counterfactual Reasoning,fbd_1957.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1958_q1,Image Description,fbd_1958.png,How many force arrows are shown in this diagram?,1
fbd_1958_q2,Basic Relational Reasoning,fbd_1958.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1958_q3,Comparative Reasoning,fbd_1958.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1958_q4,Compound Reasoning,fbd_1958.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 161.96}"
fbd_1958_q5,Extrapolative/Counterfactual Reasoning,fbd_1958.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1959_q1,Image Description,fbd_1959.png,How many force arrows are shown in this diagram?,3
fbd_1959_q2,Basic Relational Reasoning,fbd_1959.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1959_q3,Comparative Reasoning,fbd_1959.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1959_q4,Compound Reasoning,fbd_1959.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 162.75}"
fbd_1959_q5,Extrapolative/Counterfactual Reasoning,fbd_1959.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1960_q1,Image Description,fbd_1960.png,How many force arrows are shown in this diagram?,3
fbd_1960_q2,Basic Relational Reasoning,fbd_1960.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1960_q3,Comparative Reasoning,fbd_1960.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1960_q4,Compound Reasoning,fbd_1960.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 0.0}"
fbd_1960_q5,Extrapolative/Counterfactual Reasoning,fbd_1960.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1961_q1,Image Description,fbd_1961.png,How many force arrows are shown in this diagram?,1
fbd_1961_q2,Basic Relational Reasoning,fbd_1961.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1961_q3,Comparative Reasoning,fbd_1961.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1961_q4,Compound Reasoning,fbd_1961.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 212.58}"
fbd_1961_q5,Extrapolative/Counterfactual Reasoning,fbd_1961.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1962_q1,Image Description,fbd_1962.png,How many force arrows are shown in this diagram?,2
fbd_1962_q2,Basic Relational Reasoning,fbd_1962.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1962_q3,Comparative Reasoning,fbd_1962.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1962_q4,Compound Reasoning,fbd_1962.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_1962_q5,Extrapolative/Counterfactual Reasoning,fbd_1962.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_1963_q1,Image Description,fbd_1963.png,How many force arrows are shown in this diagram?,4
fbd_1963_q2,Basic Relational Reasoning,fbd_1963.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1963_q3,Comparative Reasoning,fbd_1963.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1963_q4,Compound Reasoning,fbd_1963.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.43, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 117.0, 'magnitude': 126.129369}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 152.0, 'magnitude': 126.129369}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1963_q5,Extrapolative/Counterfactual Reasoning,fbd_1963.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1964_q1,Image Description,fbd_1964.png,How many force arrows are shown in this diagram?,2
fbd_1964_q2,Basic Relational Reasoning,fbd_1964.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1964_q3,Comparative Reasoning,fbd_1964.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1964_q4,Compound Reasoning,fbd_1964.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 159.31, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 159.3144}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 223.04016}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1964_q5,Extrapolative/Counterfactual Reasoning,fbd_1964.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1965_q1,Image Description,fbd_1965.png,How many force arrows are shown in this diagram?,4
fbd_1965_q2,Basic Relational Reasoning,fbd_1965.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1965_q3,Comparative Reasoning,fbd_1965.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1965_q4,Compound Reasoning,fbd_1965.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 158.73, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 158.7258}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 158.7258}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1965_q5,Extrapolative/Counterfactual Reasoning,fbd_1965.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1966_q1,Image Description,fbd_1966.png,How many force arrows are shown in this diagram?,4
fbd_1966_q2,Basic Relational Reasoning,fbd_1966.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1966_q3,Comparative Reasoning,fbd_1966.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1966_q4,Compound Reasoning,fbd_1966.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 372.91}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 522.074}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1966_q5,Extrapolative/Counterfactual Reasoning,fbd_1966.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1967_q1,Image Description,fbd_1967.png,How many force arrows are shown in this diagram?,2
fbd_1967_q2,Basic Relational Reasoning,fbd_1967.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1967_q3,Comparative Reasoning,fbd_1967.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1967_q4,Compound Reasoning,fbd_1967.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 149.31, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 149.3082}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 149.3082}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1967_q5,Extrapolative/Counterfactual Reasoning,fbd_1967.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1968_q1,Image Description,fbd_1968.png,How many force arrows are shown in this diagram?,3
fbd_1968_q2,Basic Relational Reasoning,fbd_1968.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1968_q3,Comparative Reasoning,fbd_1968.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1968_q4,Compound Reasoning,fbd_1968.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 74.0, 'magnitude': 155.688924}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 74.0, 'magnitude': 217.964494}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1968_q5,Extrapolative/Counterfactual Reasoning,fbd_1968.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_1969_q1,Image Description,fbd_1969.png,How many force arrows are shown in this diagram?,4
fbd_1969_q2,Basic Relational Reasoning,fbd_1969.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1969_q3,Comparative Reasoning,fbd_1969.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1969_q4,Compound Reasoning,fbd_1969.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_1969_q5,Extrapolative/Counterfactual Reasoning,fbd_1969.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1970_q1,Image Description,fbd_1970.png,How many force arrows are shown in this diagram?,2
fbd_1970_q2,Basic Relational Reasoning,fbd_1970.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1970_q3,Comparative Reasoning,fbd_1970.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1970_q4,Compound Reasoning,fbd_1970.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 80.74}"
fbd_1970_q5,Extrapolative/Counterfactual Reasoning,fbd_1970.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1971_q1,Image Description,fbd_1971.png,How many force arrows are shown in this diagram?,4
fbd_1971_q2,Basic Relational Reasoning,fbd_1971.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1971_q3,Comparative Reasoning,fbd_1971.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1971_q4,Compound Reasoning,fbd_1971.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 89.96}"
fbd_1971_q5,Extrapolative/Counterfactual Reasoning,fbd_1971.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1972_q1,Image Description,fbd_1972.png,How many force arrows are shown in this diagram?,4
fbd_1972_q2,Basic Relational Reasoning,fbd_1972.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1972_q3,Comparative Reasoning,fbd_1972.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1972_q4,Compound Reasoning,fbd_1972.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.68, 'net_force_N': 0.0}"
fbd_1972_q5,Extrapolative/Counterfactual Reasoning,fbd_1972.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1973_q1,Image Description,fbd_1973.png,How many force arrows are shown in this diagram?,2
fbd_1973_q2,Basic Relational Reasoning,fbd_1973.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1973_q3,Comparative Reasoning,fbd_1973.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1973_q4,Compound Reasoning,fbd_1973.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 86.33}"
fbd_1973_q5,Extrapolative/Counterfactual Reasoning,fbd_1973.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1974_q1,Image Description,fbd_1974.png,How many force arrows are shown in this diagram?,3
fbd_1974_q2,Basic Relational Reasoning,fbd_1974.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1974_q3,Comparative Reasoning,fbd_1974.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1974_q4,Compound Reasoning,fbd_1974.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_1974_q5,Extrapolative/Counterfactual Reasoning,fbd_1974.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_1975_q1,Image Description,fbd_1975.png,How many force arrows are shown in this diagram?,4
fbd_1975_q2,Basic Relational Reasoning,fbd_1975.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1975_q3,Comparative Reasoning,fbd_1975.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1975_q4,Compound Reasoning,fbd_1975.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 41.82, 'required_friction_coefficient': 0.41}"
fbd_1975_q5,Extrapolative/Counterfactual Reasoning,fbd_1975.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1976_q1,Image Description,fbd_1976.png,How many force arrows are shown in this diagram?,2
fbd_1976_q2,Basic Relational Reasoning,fbd_1976.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1976_q3,Comparative Reasoning,fbd_1976.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1976_q4,Compound Reasoning,fbd_1976.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 19.84, 'tension_magnitude': 172.83}"
fbd_1976_q5,Extrapolative/Counterfactual Reasoning,fbd_1976.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1977_q1,Image Description,fbd_1977.png,How many force arrows are shown in this diagram?,4
fbd_1977_q2,Basic Relational Reasoning,fbd_1977.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1977_q3,Comparative Reasoning,fbd_1977.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1977_q4,Compound Reasoning,fbd_1977.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 26.78, 'tension_magnitude': 157.94}"
fbd_1977_q5,Extrapolative/Counterfactual Reasoning,fbd_1977.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1978_q1,Image Description,fbd_1978.png,How many force arrows are shown in this diagram?,4
fbd_1978_q2,Basic Relational Reasoning,fbd_1978.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1978_q3,Comparative Reasoning,fbd_1978.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1978_q4,Compound Reasoning,fbd_1978.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 25.21}"
fbd_1978_q5,Extrapolative/Counterfactual Reasoning,fbd_1978.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (346.5 degrees; 0=right, 90=up)"
fbd_1979_q1,Image Description,fbd_1979.png,How many force arrows are shown in this diagram?,2
fbd_1979_q2,Basic Relational Reasoning,fbd_1979.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1979_q3,Comparative Reasoning,fbd_1979.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1979_q4,Compound Reasoning,fbd_1979.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 7.69, 'support_force_magnitude': 64.81}"
fbd_1979_q5,Extrapolative/Counterfactual Reasoning,fbd_1979.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1980_q1,Image Description,fbd_1980.png,How many force arrows are shown in this diagram?,3
fbd_1980_q2,Basic Relational Reasoning,fbd_1980.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1980_q3,Comparative Reasoning,fbd_1980.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1980_q4,Compound Reasoning,fbd_1980.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 17.34, 'required_friction_coefficient': 0.1}"
fbd_1980_q5,Extrapolative/Counterfactual Reasoning,fbd_1980.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (264 degrees; 0=right, 90=up)"
fbd_1981_q1,Image Description,fbd_1981.png,How many force arrows are shown in this diagram?,3
fbd_1981_q2,Basic Relational Reasoning,fbd_1981.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1981_q3,Comparative Reasoning,fbd_1981.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1981_q4,Compound Reasoning,fbd_1981.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_1981_q5,Extrapolative/Counterfactual Reasoning,fbd_1981.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1982_q1,Image Description,fbd_1982.png,How many force arrows are shown in this diagram?,1
fbd_1982_q2,Basic Relational Reasoning,fbd_1982.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_1982_q3,Comparative Reasoning,fbd_1982.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1982_q4,Compound Reasoning,fbd_1982.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 183.35}"
fbd_1982_q5,Extrapolative/Counterfactual Reasoning,fbd_1982.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1983_q1,Image Description,fbd_1983.png,How many force arrows are shown in this diagram?,3
fbd_1983_q2,Basic Relational Reasoning,fbd_1983.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_1983_q3,Comparative Reasoning,fbd_1983.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1983_q4,Compound Reasoning,fbd_1983.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 212.58}"
fbd_1983_q5,Extrapolative/Counterfactual Reasoning,fbd_1983.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1984_q1,Image Description,fbd_1984.png,How many force arrows are shown in this diagram?,3
fbd_1984_q2,Basic Relational Reasoning,fbd_1984.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_1984_q3,Comparative Reasoning,fbd_1984.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1984_q4,Compound Reasoning,fbd_1984.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0}"
fbd_1984_q5,Extrapolative/Counterfactual Reasoning,fbd_1984.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1985_q1,Image Description,fbd_1985.png,How many force arrows are shown in this diagram?,1
fbd_1985_q2,Basic Relational Reasoning,fbd_1985.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1985_q3,Comparative Reasoning,fbd_1985.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1985_q4,Compound Reasoning,fbd_1985.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 122.23}"
fbd_1985_q5,Extrapolative/Counterfactual Reasoning,fbd_1985.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1986_q1,Image Description,fbd_1986.png,How many force arrows are shown in this diagram?,2
fbd_1986_q2,Basic Relational Reasoning,fbd_1986.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_1986_q3,Comparative Reasoning,fbd_1986.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1986_q4,Compound Reasoning,fbd_1986.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_1986_q5,Extrapolative/Counterfactual Reasoning,fbd_1986.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_1987_q1,Image Description,fbd_1987.png,How many force arrows are shown in this diagram?,4
fbd_1987_q2,Basic Relational Reasoning,fbd_1987.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1987_q3,Comparative Reasoning,fbd_1987.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1987_q4,Compound Reasoning,fbd_1987.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.57, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 122.0, 'magnitude': 176.86942}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 157.0, 'magnitude': 176.86942}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1987_q5,Extrapolative/Counterfactual Reasoning,fbd_1987.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1988_q1,Image Description,fbd_1988.png,How many force arrows are shown in this diagram?,2
fbd_1988_q2,Basic Relational Reasoning,fbd_1988.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1988_q3,Comparative Reasoning,fbd_1988.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1988_q4,Compound Reasoning,fbd_1988.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 186.39, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 186.39}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 260.946}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_1988_q5,Extrapolative/Counterfactual Reasoning,fbd_1988.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1989_q1,Image Description,fbd_1989.png,How many force arrows are shown in this diagram?,4
fbd_1989_q2,Basic Relational Reasoning,fbd_1989.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1989_q3,Comparative Reasoning,fbd_1989.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1989_q4,Compound Reasoning,fbd_1989.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 147.93, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 147.9348}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 147.9348}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_1989_q5,Extrapolative/Counterfactual Reasoning,fbd_1989.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1990_q1,Image Description,fbd_1990.png,How many force arrows are shown in this diagram?,4
fbd_1990_q2,Basic Relational Reasoning,fbd_1990.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_1990_q3,Comparative Reasoning,fbd_1990.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1990_q4,Compound Reasoning,fbd_1990.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.72, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 85.08}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 119.112}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1990_q5,Extrapolative/Counterfactual Reasoning,fbd_1990.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1991_q1,Image Description,fbd_1991.png,How many force arrows are shown in this diagram?,2
fbd_1991_q2,Basic Relational Reasoning,fbd_1991.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1991_q3,Comparative Reasoning,fbd_1991.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1991_q4,Compound Reasoning,fbd_1991.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 148.43, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 148.4253}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 148.4253}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_1991_q5,Extrapolative/Counterfactual Reasoning,fbd_1991.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1992_q1,Image Description,fbd_1992.png,How many force arrows are shown in this diagram?,3
fbd_1992_q2,Basic Relational Reasoning,fbd_1992.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1992_q3,Comparative Reasoning,fbd_1992.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_1992_q4,Compound Reasoning,fbd_1992.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 69.0, 'magnitude': 159.539746}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 69.0, 'magnitude': 223.355644}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_1992_q5,Extrapolative/Counterfactual Reasoning,fbd_1992.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_1993_q1,Image Description,fbd_1993.png,How many force arrows are shown in this diagram?,4
fbd_1993_q2,Basic Relational Reasoning,fbd_1993.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1993_q3,Comparative Reasoning,fbd_1993.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1993_q4,Compound Reasoning,fbd_1993.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.46}"
fbd_1993_q5,Extrapolative/Counterfactual Reasoning,fbd_1993.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_1994_q1,Image Description,fbd_1994.png,How many force arrows are shown in this diagram?,2
fbd_1994_q2,Basic Relational Reasoning,fbd_1994.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1994_q3,Comparative Reasoning,fbd_1994.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1994_q4,Compound Reasoning,fbd_1994.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 134.3}"
fbd_1994_q5,Extrapolative/Counterfactual Reasoning,fbd_1994.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1995_q1,Image Description,fbd_1995.png,How many force arrows are shown in this diagram?,4
fbd_1995_q2,Basic Relational Reasoning,fbd_1995.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_1995_q3,Comparative Reasoning,fbd_1995.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1995_q4,Compound Reasoning,fbd_1995.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 172.17}"
fbd_1995_q5,Extrapolative/Counterfactual Reasoning,fbd_1995.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1996_q1,Image Description,fbd_1996.png,How many force arrows are shown in this diagram?,4
fbd_1996_q2,Basic Relational Reasoning,fbd_1996.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1996_q3,Comparative Reasoning,fbd_1996.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1996_q4,Compound Reasoning,fbd_1996.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 0.0}"
fbd_1996_q5,Extrapolative/Counterfactual Reasoning,fbd_1996.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_1997_q1,Image Description,fbd_1997.png,How many force arrows are shown in this diagram?,2
fbd_1997_q2,Basic Relational Reasoning,fbd_1997.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_1997_q3,Comparative Reasoning,fbd_1997.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1997_q4,Compound Reasoning,fbd_1997.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 179.23}"
fbd_1997_q5,Extrapolative/Counterfactual Reasoning,fbd_1997.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_1998_q1,Image Description,fbd_1998.png,How many force arrows are shown in this diagram?,3
fbd_1998_q2,Basic Relational Reasoning,fbd_1998.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_1998_q3,Comparative Reasoning,fbd_1998.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_1998_q4,Compound Reasoning,fbd_1998.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.32}"
fbd_1998_q5,Extrapolative/Counterfactual Reasoning,fbd_1998.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_1999_q1,Image Description,fbd_1999.png,How many force arrows are shown in this diagram?,4
fbd_1999_q2,Basic Relational Reasoning,fbd_1999.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_1999_q3,Comparative Reasoning,fbd_1999.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_1999_q4,Compound Reasoning,fbd_1999.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 19.38, 'required_friction_coefficient': 0.43}"
fbd_1999_q5,Extrapolative/Counterfactual Reasoning,fbd_1999.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2000_q1,Image Description,fbd_2000.png,How many force arrows are shown in this diagram?,2
fbd_2000_q2,Basic Relational Reasoning,fbd_2000.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2000_q3,Comparative Reasoning,fbd_2000.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2000_q4,Compound Reasoning,fbd_2000.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 40.59, 'tension_magnitude': 88.7}"
fbd_2000_q5,Extrapolative/Counterfactual Reasoning,fbd_2000.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2001_q1,Image Description,fbd_2001.png,How many force arrows are shown in this diagram?,4
fbd_2001_q2,Basic Relational Reasoning,fbd_2001.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2001_q3,Comparative Reasoning,fbd_2001.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2001_q4,Compound Reasoning,fbd_2001.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 23.03, 'tension_magnitude': 173.9}"
fbd_2001_q5,Extrapolative/Counterfactual Reasoning,fbd_2001.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2002_q1,Image Description,fbd_2002.png,How many force arrows are shown in this diagram?,4
fbd_2002_q2,Basic Relational Reasoning,fbd_2002.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2002_q3,Comparative Reasoning,fbd_2002.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2002_q4,Compound Reasoning,fbd_2002.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 67.31}"
fbd_2002_q5,Extrapolative/Counterfactual Reasoning,fbd_2002.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (346.5 degrees; 0=right, 90=up)"
fbd_2003_q1,Image Description,fbd_2003.png,How many force arrows are shown in this diagram?,2
fbd_2003_q2,Basic Relational Reasoning,fbd_2003.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2003_q3,Comparative Reasoning,fbd_2003.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2003_q4,Compound Reasoning,fbd_2003.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 12.25, 'support_force_magnitude': 64.27}"
fbd_2003_q5,Extrapolative/Counterfactual Reasoning,fbd_2003.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2004_q1,Image Description,fbd_2004.png,How many force arrows are shown in this diagram?,3
fbd_2004_q2,Basic Relational Reasoning,fbd_2004.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2004_q3,Comparative Reasoning,fbd_2004.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2004_q4,Compound Reasoning,fbd_2004.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 41.2, 'required_friction_coefficient': 0.21}"
fbd_2004_q5,Extrapolative/Counterfactual Reasoning,fbd_2004.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (258.3 degrees; 0=right, 90=up)"
fbd_2005_q1,Image Description,fbd_2005.png,How many force arrows are shown in this diagram?,3
fbd_2005_q2,Basic Relational Reasoning,fbd_2005.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2005_q3,Comparative Reasoning,fbd_2005.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2005_q4,Compound Reasoning,fbd_2005.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_2005_q5,Extrapolative/Counterfactual Reasoning,fbd_2005.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2006_q1,Image Description,fbd_2006.png,How many force arrows are shown in this diagram?,1
fbd_2006_q2,Basic Relational Reasoning,fbd_2006.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2006_q3,Comparative Reasoning,fbd_2006.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2006_q4,Compound Reasoning,fbd_2006.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 145.97}"
fbd_2006_q5,Extrapolative/Counterfactual Reasoning,fbd_2006.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2007_q1,Image Description,fbd_2007.png,How many force arrows are shown in this diagram?,3
fbd_2007_q2,Basic Relational Reasoning,fbd_2007.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2007_q3,Comparative Reasoning,fbd_2007.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2007_q4,Compound Reasoning,fbd_2007.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 90.64}"
fbd_2007_q5,Extrapolative/Counterfactual Reasoning,fbd_2007.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2008_q1,Image Description,fbd_2008.png,How many force arrows are shown in this diagram?,3
fbd_2008_q2,Basic Relational Reasoning,fbd_2008.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2008_q3,Comparative Reasoning,fbd_2008.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2008_q4,Compound Reasoning,fbd_2008.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0}"
fbd_2008_q5,Extrapolative/Counterfactual Reasoning,fbd_2008.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2009_q1,Image Description,fbd_2009.png,How many force arrows are shown in this diagram?,1
fbd_2009_q2,Basic Relational Reasoning,fbd_2009.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2009_q3,Comparative Reasoning,fbd_2009.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2009_q4,Compound Reasoning,fbd_2009.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 101.63}"
fbd_2009_q5,Extrapolative/Counterfactual Reasoning,fbd_2009.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2010_q1,Image Description,fbd_2010.png,How many force arrows are shown in this diagram?,2
fbd_2010_q2,Basic Relational Reasoning,fbd_2010.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2010_q3,Comparative Reasoning,fbd_2010.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2010_q4,Compound Reasoning,fbd_2010.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_2010_q5,Extrapolative/Counterfactual Reasoning,fbd_2010.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_2011_q1,Image Description,fbd_2011.png,How many force arrows are shown in this diagram?,4
fbd_2011_q2,Basic Relational Reasoning,fbd_2011.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2011_q3,Comparative Reasoning,fbd_2011.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2011_q4,Compound Reasoning,fbd_2011.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.63, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 125.0, 'magnitude': 114.832747}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 160.0, 'magnitude': 114.832747}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2011_q5,Extrapolative/Counterfactual Reasoning,fbd_2011.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2012_q1,Image Description,fbd_2012.png,How many force arrows are shown in this diagram?,2
fbd_2012_q2,Basic Relational Reasoning,fbd_2012.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2012_q3,Comparative Reasoning,fbd_2012.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2012_q4,Compound Reasoning,fbd_2012.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 73.97, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 73.9674}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 103.55436}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2012_q5,Extrapolative/Counterfactual Reasoning,fbd_2012.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2013_q1,Image Description,fbd_2013.png,How many force arrows are shown in this diagram?,4
fbd_2013_q2,Basic Relational Reasoning,fbd_2013.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2013_q3,Comparative Reasoning,fbd_2013.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2013_q4,Compound Reasoning,fbd_2013.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 125.57, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 125.568}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 125.568}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2013_q5,Extrapolative/Counterfactual Reasoning,fbd_2013.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2014_q1,Image Description,fbd_2014.png,How many force arrows are shown in this diagram?,4
fbd_2014_q2,Basic Relational Reasoning,fbd_2014.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2014_q3,Comparative Reasoning,fbd_2014.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2014_q4,Compound Reasoning,fbd_2014.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 170.1}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 238.14}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2014_q5,Extrapolative/Counterfactual Reasoning,fbd_2014.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2015_q1,Image Description,fbd_2015.png,How many force arrows are shown in this diagram?,2
fbd_2015_q2,Basic Relational Reasoning,fbd_2015.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2015_q3,Comparative Reasoning,fbd_2015.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2015_q4,Compound Reasoning,fbd_2015.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 172.95, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 172.9503}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 172.9503}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2015_q5,Extrapolative/Counterfactual Reasoning,fbd_2015.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2016_q1,Image Description,fbd_2016.png,How many force arrows are shown in this diagram?,3
fbd_2016_q2,Basic Relational Reasoning,fbd_2016.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2016_q3,Comparative Reasoning,fbd_2016.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2016_q4,Compound Reasoning,fbd_2016.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 67.0, 'magnitude': 160.827018}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 67.0, 'magnitude': 225.157825}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2016_q5,Extrapolative/Counterfactual Reasoning,fbd_2016.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_2017_q1,Image Description,fbd_2017.png,How many force arrows are shown in this diagram?,4
fbd_2017_q2,Basic Relational Reasoning,fbd_2017.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2017_q3,Comparative Reasoning,fbd_2017.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2017_q4,Compound Reasoning,fbd_2017.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_2017_q5,Extrapolative/Counterfactual Reasoning,fbd_2017.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2018_q1,Image Description,fbd_2018.png,How many force arrows are shown in this diagram?,2
fbd_2018_q2,Basic Relational Reasoning,fbd_2018.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2018_q3,Comparative Reasoning,fbd_2018.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2018_q4,Compound Reasoning,fbd_2018.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 142.54}"
fbd_2018_q5,Extrapolative/Counterfactual Reasoning,fbd_2018.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2019_q1,Image Description,fbd_2019.png,How many force arrows are shown in this diagram?,4
fbd_2019_q2,Basic Relational Reasoning,fbd_2019.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2019_q3,Comparative Reasoning,fbd_2019.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2019_q4,Compound Reasoning,fbd_2019.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 189.53}"
fbd_2019_q5,Extrapolative/Counterfactual Reasoning,fbd_2019.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2020_q1,Image Description,fbd_2020.png,How many force arrows are shown in this diagram?,4
fbd_2020_q2,Basic Relational Reasoning,fbd_2020.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2020_q3,Comparative Reasoning,fbd_2020.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2020_q4,Compound Reasoning,fbd_2020.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 0.0}"
fbd_2020_q5,Extrapolative/Counterfactual Reasoning,fbd_2020.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2021_q1,Image Description,fbd_2021.png,How many force arrows are shown in this diagram?,2
fbd_2021_q2,Basic Relational Reasoning,fbd_2021.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2021_q3,Comparative Reasoning,fbd_2021.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2021_q4,Compound Reasoning,fbd_2021.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 190.12}"
fbd_2021_q5,Extrapolative/Counterfactual Reasoning,fbd_2021.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2022_q1,Image Description,fbd_2022.png,How many force arrows are shown in this diagram?,3
fbd_2022_q2,Basic Relational Reasoning,fbd_2022.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2022_q3,Comparative Reasoning,fbd_2022.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2022_q4,Compound Reasoning,fbd_2022.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_2022_q5,Extrapolative/Counterfactual Reasoning,fbd_2022.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_2023_q1,Image Description,fbd_2023.png,How many force arrows are shown in this diagram?,4
fbd_2023_q2,Basic Relational Reasoning,fbd_2023.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2023_q3,Comparative Reasoning,fbd_2023.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2023_q4,Compound Reasoning,fbd_2023.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 40.07, 'required_friction_coefficient': 0.52}"
fbd_2023_q5,Extrapolative/Counterfactual Reasoning,fbd_2023.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2024_q1,Image Description,fbd_2024.png,How many force arrows are shown in this diagram?,2
fbd_2024_q2,Basic Relational Reasoning,fbd_2024.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2024_q3,Comparative Reasoning,fbd_2024.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2024_q4,Compound Reasoning,fbd_2024.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 35.15, 'tension_magnitude': 97.48}"
fbd_2024_q5,Extrapolative/Counterfactual Reasoning,fbd_2024.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2025_q1,Image Description,fbd_2025.png,How many force arrows are shown in this diagram?,4
fbd_2025_q2,Basic Relational Reasoning,fbd_2025.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2025_q3,Comparative Reasoning,fbd_2025.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2025_q4,Compound Reasoning,fbd_2025.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 29.46, 'tension_magnitude': 175.83}"
fbd_2025_q5,Extrapolative/Counterfactual Reasoning,fbd_2025.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2026_q1,Image Description,fbd_2026.png,How many force arrows are shown in this diagram?,4
fbd_2026_q2,Basic Relational Reasoning,fbd_2026.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2026_q3,Comparative Reasoning,fbd_2026.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2026_q4,Compound Reasoning,fbd_2026.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 36.96}"
fbd_2026_q5,Extrapolative/Counterfactual Reasoning,fbd_2026.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (343.7 degrees; 0=right, 90=up)"
fbd_2027_q1,Image Description,fbd_2027.png,How many force arrows are shown in this diagram?,2
fbd_2027_q2,Basic Relational Reasoning,fbd_2027.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2027_q3,Comparative Reasoning,fbd_2027.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2027_q4,Compound Reasoning,fbd_2027.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 8.97, 'support_force_magnitude': 84.8}"
fbd_2027_q5,Extrapolative/Counterfactual Reasoning,fbd_2027.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2028_q1,Image Description,fbd_2028.png,How many force arrows are shown in this diagram?,3
fbd_2028_q2,Basic Relational Reasoning,fbd_2028.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2028_q3,Comparative Reasoning,fbd_2028.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2028_q4,Compound Reasoning,fbd_2028.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 24.3, 'required_friction_coefficient': 0.11}"
fbd_2028_q5,Extrapolative/Counterfactual Reasoning,fbd_2028.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (264 degrees; 0=right, 90=up)"
fbd_2029_q1,Image Description,fbd_2029.png,How many force arrows are shown in this diagram?,3
fbd_2029_q2,Basic Relational Reasoning,fbd_2029.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2029_q3,Comparative Reasoning,fbd_2029.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2029_q4,Compound Reasoning,fbd_2029.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_2029_q5,Extrapolative/Counterfactual Reasoning,fbd_2029.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2030_q1,Image Description,fbd_2030.png,How many force arrows are shown in this diagram?,1
fbd_2030_q2,Basic Relational Reasoning,fbd_2030.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2030_q3,Comparative Reasoning,fbd_2030.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2030_q4,Compound Reasoning,fbd_2030.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 103.69}"
fbd_2030_q5,Extrapolative/Counterfactual Reasoning,fbd_2030.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2031_q1,Image Description,fbd_2031.png,How many force arrows are shown in this diagram?,3
fbd_2031_q2,Basic Relational Reasoning,fbd_2031.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2031_q3,Comparative Reasoning,fbd_2031.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2031_q4,Compound Reasoning,fbd_2031.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 163.14}"
fbd_2031_q5,Extrapolative/Counterfactual Reasoning,fbd_2031.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2032_q1,Image Description,fbd_2032.png,How many force arrows are shown in this diagram?,3
fbd_2032_q2,Basic Relational Reasoning,fbd_2032.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2032_q3,Comparative Reasoning,fbd_2032.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2032_q4,Compound Reasoning,fbd_2032.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 0.0}"
fbd_2032_q5,Extrapolative/Counterfactual Reasoning,fbd_2032.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2033_q1,Image Description,fbd_2033.png,How many force arrows are shown in this diagram?,1
fbd_2033_q2,Basic Relational Reasoning,fbd_2033.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2033_q3,Comparative Reasoning,fbd_2033.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2033_q4,Compound Reasoning,fbd_2033.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 123.31}"
fbd_2033_q5,Extrapolative/Counterfactual Reasoning,fbd_2033.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2034_q1,Image Description,fbd_2034.png,How many force arrows are shown in this diagram?,2
fbd_2034_q2,Basic Relational Reasoning,fbd_2034.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2034_q3,Comparative Reasoning,fbd_2034.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2034_q4,Compound Reasoning,fbd_2034.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38}"
fbd_2034_q5,Extrapolative/Counterfactual Reasoning,fbd_2034.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_2035_q1,Image Description,fbd_2035.png,How many force arrows are shown in this diagram?,4
fbd_2035_q2,Basic Relational Reasoning,fbd_2035.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2035_q3,Comparative Reasoning,fbd_2035.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2035_q4,Compound Reasoning,fbd_2035.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.68, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 127.0, 'magnitude': 149.014365}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 162.0, 'magnitude': 149.014365}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2035_q5,Extrapolative/Counterfactual Reasoning,fbd_2035.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2036_q1,Image Description,fbd_2036.png,How many force arrows are shown in this diagram?,2
fbd_2036_q2,Basic Relational Reasoning,fbd_2036.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2036_q3,Comparative Reasoning,fbd_2036.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2036_q4,Compound Reasoning,fbd_2036.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 196.59, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 196.5924}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 275.22936}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2036_q5,Extrapolative/Counterfactual Reasoning,fbd_2036.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2037_q1,Image Description,fbd_2037.png,How many force arrows are shown in this diagram?,4
fbd_2037_q2,Basic Relational Reasoning,fbd_2037.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2037_q3,Comparative Reasoning,fbd_2037.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2037_q4,Compound Reasoning,fbd_2037.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 98.79, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 98.7867}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 98.7867}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2037_q5,Extrapolative/Counterfactual Reasoning,fbd_2037.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2038_q1,Image Description,fbd_2038.png,How many force arrows are shown in this diagram?,4
fbd_2038_q2,Basic Relational Reasoning,fbd_2038.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2038_q3,Comparative Reasoning,fbd_2038.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2038_q4,Compound Reasoning,fbd_2038.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 117.47}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 164.458}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2038_q5,Extrapolative/Counterfactual Reasoning,fbd_2038.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2039_q1,Image Description,fbd_2039.png,How many force arrows are shown in this diagram?,2
fbd_2039_q2,Basic Relational Reasoning,fbd_2039.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2039_q3,Comparative Reasoning,fbd_2039.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2039_q4,Compound Reasoning,fbd_2039.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 208.56, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 208.5606}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 208.5606}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2039_q5,Extrapolative/Counterfactual Reasoning,fbd_2039.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2040_q1,Image Description,fbd_2040.png,How many force arrows are shown in this diagram?,3
fbd_2040_q2,Basic Relational Reasoning,fbd_2040.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2040_q3,Comparative Reasoning,fbd_2040.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2040_q4,Compound Reasoning,fbd_2040.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 66.0, 'magnitude': 108.528378}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 66.0, 'magnitude': 151.939729}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2040_q5,Extrapolative/Counterfactual Reasoning,fbd_2040.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (246 degrees; 0=right, 90=up)"
fbd_2041_q1,Image Description,fbd_2041.png,How many force arrows are shown in this diagram?,4
fbd_2041_q2,Basic Relational Reasoning,fbd_2041.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2041_q3,Comparative Reasoning,fbd_2041.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2041_q4,Compound Reasoning,fbd_2041.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.63}"
fbd_2041_q5,Extrapolative/Counterfactual Reasoning,fbd_2041.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2042_q1,Image Description,fbd_2042.png,How many force arrows are shown in this diagram?,2
fbd_2042_q2,Basic Relational Reasoning,fbd_2042.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2042_q3,Comparative Reasoning,fbd_2042.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2042_q4,Compound Reasoning,fbd_2042.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 181.29}"
fbd_2042_q5,Extrapolative/Counterfactual Reasoning,fbd_2042.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2043_q1,Image Description,fbd_2043.png,How many force arrows are shown in this diagram?,4
fbd_2043_q2,Basic Relational Reasoning,fbd_2043.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2043_q3,Comparative Reasoning,fbd_2043.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2043_q4,Compound Reasoning,fbd_2043.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 134.59}"
fbd_2043_q5,Extrapolative/Counterfactual Reasoning,fbd_2043.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2044_q1,Image Description,fbd_2044.png,How many force arrows are shown in this diagram?,4
fbd_2044_q2,Basic Relational Reasoning,fbd_2044.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2044_q3,Comparative Reasoning,fbd_2044.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2044_q4,Compound Reasoning,fbd_2044.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0}"
fbd_2044_q5,Extrapolative/Counterfactual Reasoning,fbd_2044.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2045_q1,Image Description,fbd_2045.png,How many force arrows are shown in this diagram?,2
fbd_2045_q2,Basic Relational Reasoning,fbd_2045.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2045_q3,Comparative Reasoning,fbd_2045.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2045_q4,Compound Reasoning,fbd_2045.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 200.03}"
fbd_2045_q5,Extrapolative/Counterfactual Reasoning,fbd_2045.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2046_q1,Image Description,fbd_2046.png,How many force arrows are shown in this diagram?,3
fbd_2046_q2,Basic Relational Reasoning,fbd_2046.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2046_q3,Comparative Reasoning,fbd_2046.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2046_q4,Compound Reasoning,fbd_2046.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_2046_q5,Extrapolative/Counterfactual Reasoning,fbd_2046.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_2047_q1,Image Description,fbd_2047.png,How many force arrows are shown in this diagram?,4
fbd_2047_q2,Basic Relational Reasoning,fbd_2047.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2047_q3,Comparative Reasoning,fbd_2047.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2047_q4,Compound Reasoning,fbd_2047.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 64.38, 'required_friction_coefficient': 0.57}"
fbd_2047_q5,Extrapolative/Counterfactual Reasoning,fbd_2047.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2048_q1,Image Description,fbd_2048.png,How many force arrows are shown in this diagram?,2
fbd_2048_q2,Basic Relational Reasoning,fbd_2048.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2048_q3,Comparative Reasoning,fbd_2048.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2048_q4,Compound Reasoning,fbd_2048.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 22.73, 'tension_magnitude': 81.46}"
fbd_2048_q5,Extrapolative/Counterfactual Reasoning,fbd_2048.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2049_q1,Image Description,fbd_2049.png,How many force arrows are shown in this diagram?,4
fbd_2049_q2,Basic Relational Reasoning,fbd_2049.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2049_q3,Comparative Reasoning,fbd_2049.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2049_q4,Compound Reasoning,fbd_2049.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 16.31, 'tension_magnitude': 157.28}"
fbd_2049_q5,Extrapolative/Counterfactual Reasoning,fbd_2049.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2050_q1,Image Description,fbd_2050.png,How many force arrows are shown in this diagram?,4
fbd_2050_q2,Basic Relational Reasoning,fbd_2050.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2050_q3,Comparative Reasoning,fbd_2050.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2050_q4,Compound Reasoning,fbd_2050.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 40.74}"
fbd_2050_q5,Extrapolative/Counterfactual Reasoning,fbd_2050.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (351.5 degrees; 0=right, 90=up)"
fbd_2051_q1,Image Description,fbd_2051.png,How many force arrows are shown in this diagram?,2
fbd_2051_q2,Basic Relational Reasoning,fbd_2051.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2051_q3,Comparative Reasoning,fbd_2051.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2051_q4,Compound Reasoning,fbd_2051.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 15.62, 'support_force_magnitude': 106.86}"
fbd_2051_q5,Extrapolative/Counterfactual Reasoning,fbd_2051.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2052_q1,Image Description,fbd_2052.png,How many force arrows are shown in this diagram?,3
fbd_2052_q2,Basic Relational Reasoning,fbd_2052.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2052_q3,Comparative Reasoning,fbd_2052.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2052_q4,Compound Reasoning,fbd_2052.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 53.13, 'required_friction_coefficient': 0.12}"
fbd_2052_q5,Extrapolative/Counterfactual Reasoning,fbd_2052.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (263.4 degrees; 0=right, 90=up)"
fbd_2053_q1,Image Description,fbd_2053.png,How many force arrows are shown in this diagram?,3
fbd_2053_q2,Basic Relational Reasoning,fbd_2053.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2053_q3,Comparative Reasoning,fbd_2053.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2053_q4,Compound Reasoning,fbd_2053.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.66}"
fbd_2053_q5,Extrapolative/Counterfactual Reasoning,fbd_2053.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2054_q1,Image Description,fbd_2054.png,How many force arrows are shown in this diagram?,1
fbd_2054_q2,Basic Relational Reasoning,fbd_2054.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2054_q3,Comparative Reasoning,fbd_2054.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2054_q4,Compound Reasoning,fbd_2054.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 92.8}"
fbd_2054_q5,Extrapolative/Counterfactual Reasoning,fbd_2054.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2055_q1,Image Description,fbd_2055.png,How many force arrows are shown in this diagram?,3
fbd_2055_q2,Basic Relational Reasoning,fbd_2055.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2055_q3,Comparative Reasoning,fbd_2055.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2055_q4,Compound Reasoning,fbd_2055.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 85.64}"
fbd_2055_q5,Extrapolative/Counterfactual Reasoning,fbd_2055.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2056_q1,Image Description,fbd_2056.png,How many force arrows are shown in this diagram?,3
fbd_2056_q2,Basic Relational Reasoning,fbd_2056.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2056_q3,Comparative Reasoning,fbd_2056.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2056_q4,Compound Reasoning,fbd_2056.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0}"
fbd_2056_q5,Extrapolative/Counterfactual Reasoning,fbd_2056.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2057_q1,Image Description,fbd_2057.png,How many force arrows are shown in this diagram?,1
fbd_2057_q2,Basic Relational Reasoning,fbd_2057.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2057_q3,Comparative Reasoning,fbd_2057.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2057_q4,Compound Reasoning,fbd_2057.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 208.07}"
fbd_2057_q5,Extrapolative/Counterfactual Reasoning,fbd_2057.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2058_q1,Image Description,fbd_2058.png,How many force arrows are shown in this diagram?,2
fbd_2058_q2,Basic Relational Reasoning,fbd_2058.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2058_q3,Comparative Reasoning,fbd_2058.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2058_q4,Compound Reasoning,fbd_2058.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_2058_q5,Extrapolative/Counterfactual Reasoning,fbd_2058.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_2059_q1,Image Description,fbd_2059.png,How many force arrows are shown in this diagram?,4
fbd_2059_q2,Basic Relational Reasoning,fbd_2059.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2059_q3,Comparative Reasoning,fbd_2059.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2059_q4,Compound Reasoning,fbd_2059.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 122.0, 'magnitude': 105.489381}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 157.0, 'magnitude': 105.489381}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2059_q5,Extrapolative/Counterfactual Reasoning,fbd_2059.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2060_q1,Image Description,fbd_2060.png,How many force arrows are shown in this diagram?,2
fbd_2060_q2,Basic Relational Reasoning,fbd_2060.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2060_q3,Comparative Reasoning,fbd_2060.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2060_q4,Compound Reasoning,fbd_2060.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 149.11, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 149.112}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 208.7568}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2060_q5,Extrapolative/Counterfactual Reasoning,fbd_2060.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2061_q1,Image Description,fbd_2061.png,How many force arrows are shown in this diagram?,4
fbd_2061_q2,Basic Relational Reasoning,fbd_2061.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2061_q3,Comparative Reasoning,fbd_2061.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2061_q4,Compound Reasoning,fbd_2061.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 115.66, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 115.6599}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 115.6599}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2061_q5,Extrapolative/Counterfactual Reasoning,fbd_2061.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2062_q1,Image Description,fbd_2062.png,How many force arrows are shown in this diagram?,4
fbd_2062_q2,Basic Relational Reasoning,fbd_2062.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2062_q3,Comparative Reasoning,fbd_2062.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2062_q4,Compound Reasoning,fbd_2062.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 333.89}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 467.446}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2062_q5,Extrapolative/Counterfactual Reasoning,fbd_2062.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2063_q1,Image Description,fbd_2063.png,How many force arrows are shown in this diagram?,2
fbd_2063_q2,Basic Relational Reasoning,fbd_2063.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2063_q3,Comparative Reasoning,fbd_2063.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2063_q4,Compound Reasoning,fbd_2063.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 190.02, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 190.0197}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 190.0197}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2063_q5,Extrapolative/Counterfactual Reasoning,fbd_2063.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2064_q1,Image Description,fbd_2064.png,How many force arrows are shown in this diagram?,3
fbd_2064_q2,Basic Relational Reasoning,fbd_2064.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2064_q3,Comparative Reasoning,fbd_2064.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2064_q4,Compound Reasoning,fbd_2064.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 64.0, 'magnitude': 152.801549}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 64.0, 'magnitude': 213.922169}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2064_q5,Extrapolative/Counterfactual Reasoning,fbd_2064.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_2065_q1,Image Description,fbd_2065.png,How many force arrows are shown in this diagram?,4
fbd_2065_q2,Basic Relational Reasoning,fbd_2065.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2065_q3,Comparative Reasoning,fbd_2065.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2065_q4,Compound Reasoning,fbd_2065.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.5}"
fbd_2065_q5,Extrapolative/Counterfactual Reasoning,fbd_2065.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2066_q1,Image Description,fbd_2066.png,How many force arrows are shown in this diagram?,2
fbd_2066_q2,Basic Relational Reasoning,fbd_2066.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2066_q3,Comparative Reasoning,fbd_2066.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2066_q4,Compound Reasoning,fbd_2066.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 170.6}"
fbd_2066_q5,Extrapolative/Counterfactual Reasoning,fbd_2066.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2067_q1,Image Description,fbd_2067.png,How many force arrows are shown in this diagram?,4
fbd_2067_q2,Basic Relational Reasoning,fbd_2067.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2067_q3,Comparative Reasoning,fbd_2067.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2067_q4,Compound Reasoning,fbd_2067.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 73.18}"
fbd_2067_q5,Extrapolative/Counterfactual Reasoning,fbd_2067.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2068_q1,Image Description,fbd_2068.png,How many force arrows are shown in this diagram?,4
fbd_2068_q2,Basic Relational Reasoning,fbd_2068.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2068_q3,Comparative Reasoning,fbd_2068.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2068_q4,Compound Reasoning,fbd_2068.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0}"
fbd_2068_q5,Extrapolative/Counterfactual Reasoning,fbd_2068.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2069_q1,Image Description,fbd_2069.png,How many force arrows are shown in this diagram?,2
fbd_2069_q2,Basic Relational Reasoning,fbd_2069.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2069_q3,Comparative Reasoning,fbd_2069.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2069_q4,Compound Reasoning,fbd_2069.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 115.66}"
fbd_2069_q5,Extrapolative/Counterfactual Reasoning,fbd_2069.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2070_q1,Image Description,fbd_2070.png,How many force arrows are shown in this diagram?,3
fbd_2070_q2,Basic Relational Reasoning,fbd_2070.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2070_q3,Comparative Reasoning,fbd_2070.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2070_q4,Compound Reasoning,fbd_2070.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_2070_q5,Extrapolative/Counterfactual Reasoning,fbd_2070.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_2071_q1,Image Description,fbd_2071.png,How many force arrows are shown in this diagram?,4
fbd_2071_q2,Basic Relational Reasoning,fbd_2071.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2071_q3,Comparative Reasoning,fbd_2071.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2071_q4,Compound Reasoning,fbd_2071.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 22.47, 'required_friction_coefficient': 0.64}"
fbd_2071_q5,Extrapolative/Counterfactual Reasoning,fbd_2071.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2072_q1,Image Description,fbd_2072.png,How many force arrows are shown in this diagram?,2
fbd_2072_q2,Basic Relational Reasoning,fbd_2072.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2072_q3,Comparative Reasoning,fbd_2072.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2072_q4,Compound Reasoning,fbd_2072.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 31.19, 'tension_magnitude': 81.72}"
fbd_2072_q5,Extrapolative/Counterfactual Reasoning,fbd_2072.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2073_q1,Image Description,fbd_2073.png,How many force arrows are shown in this diagram?,4
fbd_2073_q2,Basic Relational Reasoning,fbd_2073.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2073_q3,Comparative Reasoning,fbd_2073.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2073_q4,Compound Reasoning,fbd_2073.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 29.71, 'tension_magnitude': 226.99}"
fbd_2073_q5,Extrapolative/Counterfactual Reasoning,fbd_2073.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2074_q1,Image Description,fbd_2074.png,How many force arrows are shown in this diagram?,4
fbd_2074_q2,Basic Relational Reasoning,fbd_2074.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2074_q3,Comparative Reasoning,fbd_2074.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2074_q4,Compound Reasoning,fbd_2074.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.67, 'net_force_N': 71.0}"
fbd_2074_q5,Extrapolative/Counterfactual Reasoning,fbd_2074.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (343.5 degrees; 0=right, 90=up)"
fbd_2075_q1,Image Description,fbd_2075.png,How many force arrows are shown in this diagram?,2
fbd_2075_q2,Basic Relational Reasoning,fbd_2075.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2075_q3,Comparative Reasoning,fbd_2075.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2075_q4,Compound Reasoning,fbd_2075.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 37.74, 'support_force_magnitude': 242.28}"
fbd_2075_q5,Extrapolative/Counterfactual Reasoning,fbd_2075.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2076_q1,Image Description,fbd_2076.png,How many force arrows are shown in this diagram?,3
fbd_2076_q2,Basic Relational Reasoning,fbd_2076.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2076_q3,Comparative Reasoning,fbd_2076.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2076_q4,Compound Reasoning,fbd_2076.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 23.36, 'required_friction_coefficient': 0.04}"
fbd_2076_q5,Extrapolative/Counterfactual Reasoning,fbd_2076.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (267.6 degrees; 0=right, 90=up)"
fbd_2077_q1,Image Description,fbd_2077.png,How many force arrows are shown in this diagram?,3
fbd_2077_q2,Basic Relational Reasoning,fbd_2077.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2077_q3,Comparative Reasoning,fbd_2077.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2077_q4,Compound Reasoning,fbd_2077.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.41}"
fbd_2077_q5,Extrapolative/Counterfactual Reasoning,fbd_2077.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2078_q1,Image Description,fbd_2078.png,How many force arrows are shown in this diagram?,1
fbd_2078_q2,Basic Relational Reasoning,fbd_2078.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2078_q3,Comparative Reasoning,fbd_2078.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2078_q4,Compound Reasoning,fbd_2078.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 211.01}"
fbd_2078_q5,Extrapolative/Counterfactual Reasoning,fbd_2078.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2079_q1,Image Description,fbd_2079.png,How many force arrows are shown in this diagram?,3
fbd_2079_q2,Basic Relational Reasoning,fbd_2079.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2079_q3,Comparative Reasoning,fbd_2079.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2079_q4,Compound Reasoning,fbd_2079.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 130.37}"
fbd_2079_q5,Extrapolative/Counterfactual Reasoning,fbd_2079.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2080_q1,Image Description,fbd_2080.png,How many force arrows are shown in this diagram?,3
fbd_2080_q2,Basic Relational Reasoning,fbd_2080.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2080_q3,Comparative Reasoning,fbd_2080.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2080_q4,Compound Reasoning,fbd_2080.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 0.0}"
fbd_2080_q5,Extrapolative/Counterfactual Reasoning,fbd_2080.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2081_q1,Image Description,fbd_2081.png,How many force arrows are shown in this diagram?,1
fbd_2081_q2,Basic Relational Reasoning,fbd_2081.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2081_q3,Comparative Reasoning,fbd_2081.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2081_q4,Compound Reasoning,fbd_2081.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 133.32}"
fbd_2081_q5,Extrapolative/Counterfactual Reasoning,fbd_2081.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2082_q1,Image Description,fbd_2082.png,How many force arrows are shown in this diagram?,2
fbd_2082_q2,Basic Relational Reasoning,fbd_2082.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2082_q3,Comparative Reasoning,fbd_2082.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2082_q4,Compound Reasoning,fbd_2082.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_2082_q5,Extrapolative/Counterfactual Reasoning,fbd_2082.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_2083_q1,Image Description,fbd_2083.png,How many force arrows are shown in this diagram?,4
fbd_2083_q2,Basic Relational Reasoning,fbd_2083.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2083_q3,Comparative Reasoning,fbd_2083.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2083_q4,Compound Reasoning,fbd_2083.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 125.0, 'magnitude': 175.825088}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 160.0, 'magnitude': 175.825088}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2083_q5,Extrapolative/Counterfactual Reasoning,fbd_2083.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2084_q1,Image Description,fbd_2084.png,How many force arrows are shown in this diagram?,2
fbd_2084_q2,Basic Relational Reasoning,fbd_2084.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2084_q3,Comparative Reasoning,fbd_2084.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2084_q4,Compound Reasoning,fbd_2084.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 127.04, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 127.0395}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 177.8553}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2084_q5,Extrapolative/Counterfactual Reasoning,fbd_2084.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2085_q1,Image Description,fbd_2085.png,How many force arrows are shown in this diagram?,4
fbd_2085_q2,Basic Relational Reasoning,fbd_2085.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2085_q3,Comparative Reasoning,fbd_2085.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2085_q4,Compound Reasoning,fbd_2085.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 73.18, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 73.1826}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 73.1826}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2085_q5,Extrapolative/Counterfactual Reasoning,fbd_2085.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2086_q1,Image Description,fbd_2086.png,How many force arrows are shown in this diagram?,4
fbd_2086_q2,Basic Relational Reasoning,fbd_2086.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2086_q3,Comparative Reasoning,fbd_2086.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2086_q4,Compound Reasoning,fbd_2086.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 275.66}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 385.924}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2086_q5,Extrapolative/Counterfactual Reasoning,fbd_2086.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2087_q1,Image Description,fbd_2087.png,How many force arrows are shown in this diagram?,2
fbd_2087_q2,Basic Relational Reasoning,fbd_2087.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2087_q3,Comparative Reasoning,fbd_2087.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2087_q4,Compound Reasoning,fbd_2087.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 78.97, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 78.9705}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 78.9705}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2087_q5,Extrapolative/Counterfactual Reasoning,fbd_2087.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2088_q1,Image Description,fbd_2088.png,How many force arrows are shown in this diagram?,3
fbd_2088_q2,Basic Relational Reasoning,fbd_2088.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2088_q3,Comparative Reasoning,fbd_2088.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2088_q4,Compound Reasoning,fbd_2088.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 63.0, 'magnitude': 131.286426}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 63.0, 'magnitude': 183.800996}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2088_q5,Extrapolative/Counterfactual Reasoning,fbd_2088.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_2089_q1,Image Description,fbd_2089.png,How many force arrows are shown in this diagram?,4
fbd_2089_q2,Basic Relational Reasoning,fbd_2089.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2089_q3,Comparative Reasoning,fbd_2089.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2089_q4,Compound Reasoning,fbd_2089.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.5}"
fbd_2089_q5,Extrapolative/Counterfactual Reasoning,fbd_2089.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2090_q1,Image Description,fbd_2090.png,How many force arrows are shown in this diagram?,2
fbd_2090_q2,Basic Relational Reasoning,fbd_2090.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2090_q3,Comparative Reasoning,fbd_2090.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2090_q4,Compound Reasoning,fbd_2090.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 98.0}"
fbd_2090_q5,Extrapolative/Counterfactual Reasoning,fbd_2090.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2091_q1,Image Description,fbd_2091.png,How many force arrows are shown in this diagram?,4
fbd_2091_q2,Basic Relational Reasoning,fbd_2091.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2091_q3,Comparative Reasoning,fbd_2091.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2091_q4,Compound Reasoning,fbd_2091.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 105.07}"
fbd_2091_q5,Extrapolative/Counterfactual Reasoning,fbd_2091.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2092_q1,Image Description,fbd_2092.png,How many force arrows are shown in this diagram?,4
fbd_2092_q2,Basic Relational Reasoning,fbd_2092.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2092_q3,Comparative Reasoning,fbd_2092.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2092_q4,Compound Reasoning,fbd_2092.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0}"
fbd_2092_q5,Extrapolative/Counterfactual Reasoning,fbd_2092.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2093_q1,Image Description,fbd_2093.png,How many force arrows are shown in this diagram?,2
fbd_2093_q2,Basic Relational Reasoning,fbd_2093.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2093_q3,Comparative Reasoning,fbd_2093.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2093_q4,Compound Reasoning,fbd_2093.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 126.25}"
fbd_2093_q5,Extrapolative/Counterfactual Reasoning,fbd_2093.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2094_q1,Image Description,fbd_2094.png,How many force arrows are shown in this diagram?,3
fbd_2094_q2,Basic Relational Reasoning,fbd_2094.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2094_q3,Comparative Reasoning,fbd_2094.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2094_q4,Compound Reasoning,fbd_2094.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29}"
fbd_2094_q5,Extrapolative/Counterfactual Reasoning,fbd_2094.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_2095_q1,Image Description,fbd_2095.png,How many force arrows are shown in this diagram?,4
fbd_2095_q2,Basic Relational Reasoning,fbd_2095.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2095_q3,Comparative Reasoning,fbd_2095.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['A'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2095_q4,Compound Reasoning,fbd_2095.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 50.97, 'required_friction_coefficient': 0.52}"
fbd_2095_q5,Extrapolative/Counterfactual Reasoning,fbd_2095.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2096_q1,Image Description,fbd_2096.png,How many force arrows are shown in this diagram?,2
fbd_2096_q2,Basic Relational Reasoning,fbd_2096.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2096_q3,Comparative Reasoning,fbd_2096.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2096_q4,Compound Reasoning,fbd_2096.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 7.7, 'tension_magnitude': 54.2}"
fbd_2096_q5,Extrapolative/Counterfactual Reasoning,fbd_2096.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2097_q1,Image Description,fbd_2097.png,How many force arrows are shown in this diagram?,4
fbd_2097_q2,Basic Relational Reasoning,fbd_2097.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2097_q3,Comparative Reasoning,fbd_2097.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2097_q4,Compound Reasoning,fbd_2097.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 26.61, 'tension_magnitude': 98.42}"
fbd_2097_q5,Extrapolative/Counterfactual Reasoning,fbd_2097.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2098_q1,Image Description,fbd_2098.png,How many force arrows are shown in this diagram?,4
fbd_2098_q2,Basic Relational Reasoning,fbd_2098.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2098_q3,Comparative Reasoning,fbd_2098.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2098_q4,Compound Reasoning,fbd_2098.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 39.01}"
fbd_2098_q5,Extrapolative/Counterfactual Reasoning,fbd_2098.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (346.9 degrees; 0=right, 90=up)"
fbd_2099_q1,Image Description,fbd_2099.png,How many force arrows are shown in this diagram?,2
fbd_2099_q2,Basic Relational Reasoning,fbd_2099.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2099_q3,Comparative Reasoning,fbd_2099.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2099_q4,Compound Reasoning,fbd_2099.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 35.2, 'support_force_magnitude': 155.6}"
fbd_2099_q5,Extrapolative/Counterfactual Reasoning,fbd_2099.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2100_q1,Image Description,fbd_2100.png,How many force arrows are shown in this diagram?,3
fbd_2100_q2,Basic Relational Reasoning,fbd_2100.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2100_q3,Comparative Reasoning,fbd_2100.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2100_q4,Compound Reasoning,fbd_2100.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 40.15, 'required_friction_coefficient': 0.18}"
fbd_2100_q5,Extrapolative/Counterfactual Reasoning,fbd_2100.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (259.7 degrees; 0=right, 90=up)"
fbd_2101_q1,Image Description,fbd_2101.png,How many force arrows are shown in this diagram?,3
fbd_2101_q2,Basic Relational Reasoning,fbd_2101.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2101_q3,Comparative Reasoning,fbd_2101.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2101_q4,Compound Reasoning,fbd_2101.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.64}"
fbd_2101_q5,Extrapolative/Counterfactual Reasoning,fbd_2101.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2102_q1,Image Description,fbd_2102.png,How many force arrows are shown in this diagram?,1
fbd_2102_q2,Basic Relational Reasoning,fbd_2102.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2102_q3,Comparative Reasoning,fbd_2102.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2102_q4,Compound Reasoning,fbd_2102.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 106.05}"
fbd_2102_q5,Extrapolative/Counterfactual Reasoning,fbd_2102.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2103_q1,Image Description,fbd_2103.png,How many force arrows are shown in this diagram?,3
fbd_2103_q2,Basic Relational Reasoning,fbd_2103.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2103_q3,Comparative Reasoning,fbd_2103.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2103_q4,Compound Reasoning,fbd_2103.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 180.99}"
fbd_2103_q5,Extrapolative/Counterfactual Reasoning,fbd_2103.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2104_q1,Image Description,fbd_2104.png,How many force arrows are shown in this diagram?,3
fbd_2104_q2,Basic Relational Reasoning,fbd_2104.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2104_q3,Comparative Reasoning,fbd_2104.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2104_q4,Compound Reasoning,fbd_2104.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.68, 'net_force_N': 0.0}"
fbd_2104_q5,Extrapolative/Counterfactual Reasoning,fbd_2104.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2105_q1,Image Description,fbd_2105.png,How many force arrows are shown in this diagram?,1
fbd_2105_q2,Basic Relational Reasoning,fbd_2105.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2105_q3,Comparative Reasoning,fbd_2105.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2105_q4,Compound Reasoning,fbd_2105.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 81.82}"
fbd_2105_q5,Extrapolative/Counterfactual Reasoning,fbd_2105.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2106_q1,Image Description,fbd_2106.png,How many force arrows are shown in this diagram?,2
fbd_2106_q2,Basic Relational Reasoning,fbd_2106.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2106_q3,Comparative Reasoning,fbd_2106.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2106_q4,Compound Reasoning,fbd_2106.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_2106_q5,Extrapolative/Counterfactual Reasoning,fbd_2106.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_2107_q1,Image Description,fbd_2107.png,How many force arrows are shown in this diagram?,4
fbd_2107_q2,Basic Relational Reasoning,fbd_2107.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2107_q3,Comparative Reasoning,fbd_2107.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2107_q4,Compound Reasoning,fbd_2107.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.63, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 125.0, 'magnitude': 147.940579}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 160.0, 'magnitude': 147.940579}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2107_q5,Extrapolative/Counterfactual Reasoning,fbd_2107.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2108_q1,Image Description,fbd_2108.png,How many force arrows are shown in this diagram?,2
fbd_2108_q2,Basic Relational Reasoning,fbd_2108.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2108_q3,Comparative Reasoning,fbd_2108.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2108_q4,Compound Reasoning,fbd_2108.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 182.76, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 182.7603}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 255.86442}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2108_q5,Extrapolative/Counterfactual Reasoning,fbd_2108.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2109_q1,Image Description,fbd_2109.png,How many force arrows are shown in this diagram?,4
fbd_2109_q2,Basic Relational Reasoning,fbd_2109.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2109_q3,Comparative Reasoning,fbd_2109.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2109_q4,Compound Reasoning,fbd_2109.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 120.96, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 120.9573}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 120.9573}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2109_q5,Extrapolative/Counterfactual Reasoning,fbd_2109.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2110_q1,Image Description,fbd_2110.png,How many force arrows are shown in this diagram?,4
fbd_2110_q2,Basic Relational Reasoning,fbd_2110.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2110_q3,Comparative Reasoning,fbd_2110.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2110_q4,Compound Reasoning,fbd_2110.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 124.46}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 174.244}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2110_q5,Extrapolative/Counterfactual Reasoning,fbd_2110.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2111_q1,Image Description,fbd_2111.png,How many force arrows are shown in this diagram?,2
fbd_2111_q2,Basic Relational Reasoning,fbd_2111.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2111_q3,Comparative Reasoning,fbd_2111.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2111_q4,Compound Reasoning,fbd_2111.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 113.31, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 113.3055}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 113.3055}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2111_q5,Extrapolative/Counterfactual Reasoning,fbd_2111.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2112_q1,Image Description,fbd_2112.png,How many force arrows are shown in this diagram?,3
fbd_2112_q2,Basic Relational Reasoning,fbd_2112.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2112_q3,Comparative Reasoning,fbd_2112.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2112_q4,Compound Reasoning,fbd_2112.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 67.0, 'magnitude': 67.726145}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 67.0, 'magnitude': 94.816603}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2112_q5,Extrapolative/Counterfactual Reasoning,fbd_2112.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_2113_q1,Image Description,fbd_2113.png,How many force arrows are shown in this diagram?,4
fbd_2113_q2,Basic Relational Reasoning,fbd_2113.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2113_q3,Comparative Reasoning,fbd_2113.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2113_q4,Compound Reasoning,fbd_2113.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_2113_q5,Extrapolative/Counterfactual Reasoning,fbd_2113.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2114_q1,Image Description,fbd_2114.png,How many force arrows are shown in this diagram?,2
fbd_2114_q2,Basic Relational Reasoning,fbd_2114.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2114_q3,Comparative Reasoning,fbd_2114.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2114_q4,Compound Reasoning,fbd_2114.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 214.54}"
fbd_2114_q5,Extrapolative/Counterfactual Reasoning,fbd_2114.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2115_q1,Image Description,fbd_2115.png,How many force arrows are shown in this diagram?,4
fbd_2115_q2,Basic Relational Reasoning,fbd_2115.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2115_q3,Comparative Reasoning,fbd_2115.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2115_q4,Compound Reasoning,fbd_2115.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 114.38}"
fbd_2115_q5,Extrapolative/Counterfactual Reasoning,fbd_2115.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2116_q1,Image Description,fbd_2116.png,How many force arrows are shown in this diagram?,4
fbd_2116_q2,Basic Relational Reasoning,fbd_2116.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2116_q3,Comparative Reasoning,fbd_2116.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2116_q4,Compound Reasoning,fbd_2116.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 0.0}"
fbd_2116_q5,Extrapolative/Counterfactual Reasoning,fbd_2116.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2117_q1,Image Description,fbd_2117.png,How many force arrows are shown in this diagram?,2
fbd_2117_q2,Basic Relational Reasoning,fbd_2117.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2117_q3,Comparative Reasoning,fbd_2117.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2117_q4,Compound Reasoning,fbd_2117.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 88.88}"
fbd_2117_q5,Extrapolative/Counterfactual Reasoning,fbd_2117.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2118_q1,Image Description,fbd_2118.png,How many force arrows are shown in this diagram?,3
fbd_2118_q2,Basic Relational Reasoning,fbd_2118.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2118_q3,Comparative Reasoning,fbd_2118.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2118_q4,Compound Reasoning,fbd_2118.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_2118_q5,Extrapolative/Counterfactual Reasoning,fbd_2118.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_2119_q1,Image Description,fbd_2119.png,How many force arrows are shown in this diagram?,4
fbd_2119_q2,Basic Relational Reasoning,fbd_2119.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2119_q3,Comparative Reasoning,fbd_2119.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2119_q4,Compound Reasoning,fbd_2119.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 30.14, 'required_friction_coefficient': 0.48}"
fbd_2119_q5,Extrapolative/Counterfactual Reasoning,fbd_2119.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2120_q1,Image Description,fbd_2120.png,How many force arrows are shown in this diagram?,2
fbd_2120_q2,Basic Relational Reasoning,fbd_2120.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2120_q3,Comparative Reasoning,fbd_2120.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2120_q4,Compound Reasoning,fbd_2120.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 67.35, 'tension_magnitude': 140.42}"
fbd_2120_q5,Extrapolative/Counterfactual Reasoning,fbd_2120.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2121_q1,Image Description,fbd_2121.png,How many force arrows are shown in this diagram?,4
fbd_2121_q2,Basic Relational Reasoning,fbd_2121.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2121_q3,Comparative Reasoning,fbd_2121.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2121_q4,Compound Reasoning,fbd_2121.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 14.76, 'tension_magnitude': 214.2}"
fbd_2121_q5,Extrapolative/Counterfactual Reasoning,fbd_2121.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2122_q1,Image Description,fbd_2122.png,How many force arrows are shown in this diagram?,4
fbd_2122_q2,Basic Relational Reasoning,fbd_2122.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2122_q3,Comparative Reasoning,fbd_2122.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2122_q4,Compound Reasoning,fbd_2122.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 46.03}"
fbd_2122_q5,Extrapolative/Counterfactual Reasoning,fbd_2122.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (346.5 degrees; 0=right, 90=up)"
fbd_2123_q1,Image Description,fbd_2123.png,How many force arrows are shown in this diagram?,2
fbd_2123_q2,Basic Relational Reasoning,fbd_2123.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2123_q3,Comparative Reasoning,fbd_2123.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2123_q4,Compound Reasoning,fbd_2123.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 45.94, 'support_force_magnitude': 215.36}"
fbd_2123_q5,Extrapolative/Counterfactual Reasoning,fbd_2123.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2124_q1,Image Description,fbd_2124.png,How many force arrows are shown in this diagram?,3
fbd_2124_q2,Basic Relational Reasoning,fbd_2124.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2124_q3,Comparative Reasoning,fbd_2124.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2124_q4,Compound Reasoning,fbd_2124.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 12.51, 'required_friction_coefficient': 0.33}"
fbd_2124_q5,Extrapolative/Counterfactual Reasoning,fbd_2124.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251.7 degrees; 0=right, 90=up)"
fbd_2125_q1,Image Description,fbd_2125.png,How many force arrows are shown in this diagram?,3
fbd_2125_q2,Basic Relational Reasoning,fbd_2125.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2125_q3,Comparative Reasoning,fbd_2125.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2125_q4,Compound Reasoning,fbd_2125.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.65}"
fbd_2125_q5,Extrapolative/Counterfactual Reasoning,fbd_2125.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2126_q1,Image Description,fbd_2126.png,How many force arrows are shown in this diagram?,1
fbd_2126_q2,Basic Relational Reasoning,fbd_2126.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2126_q3,Comparative Reasoning,fbd_2126.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2126_q4,Compound Reasoning,fbd_2126.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 97.81}"
fbd_2126_q5,Extrapolative/Counterfactual Reasoning,fbd_2126.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2127_q1,Image Description,fbd_2127.png,How many force arrows are shown in this diagram?,3
fbd_2127_q2,Basic Relational Reasoning,fbd_2127.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2127_q3,Comparative Reasoning,fbd_2127.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2127_q4,Compound Reasoning,fbd_2127.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 78.19}"
fbd_2127_q5,Extrapolative/Counterfactual Reasoning,fbd_2127.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2128_q1,Image Description,fbd_2128.png,How many force arrows are shown in this diagram?,3
fbd_2128_q2,Basic Relational Reasoning,fbd_2128.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2128_q3,Comparative Reasoning,fbd_2128.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2128_q4,Compound Reasoning,fbd_2128.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 0.0}"
fbd_2128_q5,Extrapolative/Counterfactual Reasoning,fbd_2128.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2129_q1,Image Description,fbd_2129.png,How many force arrows are shown in this diagram?,1
fbd_2129_q2,Basic Relational Reasoning,fbd_2129.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2129_q3,Comparative Reasoning,fbd_2129.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2129_q4,Compound Reasoning,fbd_2129.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 83.19}"
fbd_2129_q5,Extrapolative/Counterfactual Reasoning,fbd_2129.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2130_q1,Image Description,fbd_2130.png,How many force arrows are shown in this diagram?,2
fbd_2130_q2,Basic Relational Reasoning,fbd_2130.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2130_q3,Comparative Reasoning,fbd_2130.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2130_q4,Compound Reasoning,fbd_2130.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36}"
fbd_2130_q5,Extrapolative/Counterfactual Reasoning,fbd_2130.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_2131_q1,Image Description,fbd_2131.png,How many force arrows are shown in this diagram?,4
fbd_2131_q2,Basic Relational Reasoning,fbd_2131.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2131_q3,Comparative Reasoning,fbd_2131.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2131_q4,Compound Reasoning,fbd_2131.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.64, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 126.0, 'magnitude': 127.776953}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 161.0, 'magnitude': 127.776953}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2131_q5,Extrapolative/Counterfactual Reasoning,fbd_2131.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2132_q1,Image Description,fbd_2132.png,How many force arrows are shown in this diagram?,2
fbd_2132_q2,Basic Relational Reasoning,fbd_2132.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2132_q3,Comparative Reasoning,fbd_2132.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2132_q4,Compound Reasoning,fbd_2132.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 128.9, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 128.9034}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 180.46476}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2132_q5,Extrapolative/Counterfactual Reasoning,fbd_2132.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2133_q1,Image Description,fbd_2133.png,How many force arrows are shown in this diagram?,4
fbd_2133_q2,Basic Relational Reasoning,fbd_2133.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2133_q3,Comparative Reasoning,fbd_2133.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2133_q4,Compound Reasoning,fbd_2133.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 65.33, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 65.3346}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 65.3346}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2133_q5,Extrapolative/Counterfactual Reasoning,fbd_2133.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2134_q1,Image Description,fbd_2134.png,How many force arrows are shown in this diagram?,4
fbd_2134_q2,Basic Relational Reasoning,fbd_2134.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2134_q3,Comparative Reasoning,fbd_2134.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2134_q4,Compound Reasoning,fbd_2134.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 233.5}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 326.9}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2134_q5,Extrapolative/Counterfactual Reasoning,fbd_2134.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2135_q1,Image Description,fbd_2135.png,How many force arrows are shown in this diagram?,2
fbd_2135_q2,Basic Relational Reasoning,fbd_2135.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2135_q3,Comparative Reasoning,fbd_2135.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2135_q4,Compound Reasoning,fbd_2135.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 154.12, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 154.1151}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 154.1151}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2135_q5,Extrapolative/Counterfactual Reasoning,fbd_2135.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2136_q1,Image Description,fbd_2136.png,How many force arrows are shown in this diagram?,3
fbd_2136_q2,Basic Relational Reasoning,fbd_2136.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2136_q3,Comparative Reasoning,fbd_2136.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2136_q4,Compound Reasoning,fbd_2136.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 74.0, 'magnitude': 81.946502}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 74.0, 'magnitude': 114.725103}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2136_q5,Extrapolative/Counterfactual Reasoning,fbd_2136.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_2137_q1,Image Description,fbd_2137.png,How many force arrows are shown in this diagram?,4
fbd_2137_q2,Basic Relational Reasoning,fbd_2137.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2137_q3,Comparative Reasoning,fbd_2137.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2137_q4,Compound Reasoning,fbd_2137.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.69}"
fbd_2137_q5,Extrapolative/Counterfactual Reasoning,fbd_2137.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2138_q1,Image Description,fbd_2138.png,How many force arrows are shown in this diagram?,2
fbd_2138_q2,Basic Relational Reasoning,fbd_2138.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2138_q3,Comparative Reasoning,fbd_2138.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2138_q4,Compound Reasoning,fbd_2138.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 147.25}"
fbd_2138_q5,Extrapolative/Counterfactual Reasoning,fbd_2138.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2139_q1,Image Description,fbd_2139.png,How many force arrows are shown in this diagram?,4
fbd_2139_q2,Basic Relational Reasoning,fbd_2139.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2139_q3,Comparative Reasoning,fbd_2139.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2139_q4,Compound Reasoning,fbd_2139.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 161.67}"
fbd_2139_q5,Extrapolative/Counterfactual Reasoning,fbd_2139.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2140_q1,Image Description,fbd_2140.png,How many force arrows are shown in this diagram?,4
fbd_2140_q2,Basic Relational Reasoning,fbd_2140.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2140_q3,Comparative Reasoning,fbd_2140.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2140_q4,Compound Reasoning,fbd_2140.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 0.0}"
fbd_2140_q5,Extrapolative/Counterfactual Reasoning,fbd_2140.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2141_q1,Image Description,fbd_2141.png,How many force arrows are shown in this diagram?,2
fbd_2141_q2,Basic Relational Reasoning,fbd_2141.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2141_q3,Comparative Reasoning,fbd_2141.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2141_q4,Compound Reasoning,fbd_2141.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 201.69}"
fbd_2141_q5,Extrapolative/Counterfactual Reasoning,fbd_2141.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2142_q1,Image Description,fbd_2142.png,How many force arrows are shown in this diagram?,3
fbd_2142_q2,Basic Relational Reasoning,fbd_2142.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2142_q3,Comparative Reasoning,fbd_2142.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2142_q4,Compound Reasoning,fbd_2142.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_2142_q5,Extrapolative/Counterfactual Reasoning,fbd_2142.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_2143_q1,Image Description,fbd_2143.png,How many force arrows are shown in this diagram?,4
fbd_2143_q2,Basic Relational Reasoning,fbd_2143.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2143_q3,Comparative Reasoning,fbd_2143.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2143_q4,Compound Reasoning,fbd_2143.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 33.1, 'required_friction_coefficient': 0.39}"
fbd_2143_q5,Extrapolative/Counterfactual Reasoning,fbd_2143.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2144_q1,Image Description,fbd_2144.png,How many force arrows are shown in this diagram?,2
fbd_2144_q2,Basic Relational Reasoning,fbd_2144.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2144_q3,Comparative Reasoning,fbd_2144.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2144_q4,Compound Reasoning,fbd_2144.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 38.26, 'tension_magnitude': 158.24}"
fbd_2144_q5,Extrapolative/Counterfactual Reasoning,fbd_2144.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2145_q1,Image Description,fbd_2145.png,How many force arrows are shown in this diagram?,4
fbd_2145_q2,Basic Relational Reasoning,fbd_2145.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2145_q3,Comparative Reasoning,fbd_2145.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2145_q4,Compound Reasoning,fbd_2145.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 29.2, 'tension_magnitude': 147.21}"
fbd_2145_q5,Extrapolative/Counterfactual Reasoning,fbd_2145.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2146_q1,Image Description,fbd_2146.png,How many force arrows are shown in this diagram?,4
fbd_2146_q2,Basic Relational Reasoning,fbd_2146.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2146_q3,Comparative Reasoning,fbd_2146.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2146_q4,Compound Reasoning,fbd_2146.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 107.5}"
fbd_2146_q5,Extrapolative/Counterfactual Reasoning,fbd_2146.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (339.4 degrees; 0=right, 90=up)"
fbd_2147_q1,Image Description,fbd_2147.png,How many force arrows are shown in this diagram?,2
fbd_2147_q2,Basic Relational Reasoning,fbd_2147.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2147_q3,Comparative Reasoning,fbd_2147.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2147_q4,Compound Reasoning,fbd_2147.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 15.02, 'support_force_magnitude': 100.17}"
fbd_2147_q5,Extrapolative/Counterfactual Reasoning,fbd_2147.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2148_q1,Image Description,fbd_2148.png,How many force arrows are shown in this diagram?,3
fbd_2148_q2,Basic Relational Reasoning,fbd_2148.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2148_q3,Comparative Reasoning,fbd_2148.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2148_q4,Compound Reasoning,fbd_2148.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 51.48, 'required_friction_coefficient': 0.22}"
fbd_2148_q5,Extrapolative/Counterfactual Reasoning,fbd_2148.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (257.5 degrees; 0=right, 90=up)"
fbd_2149_q1,Image Description,fbd_2149.png,How many force arrows are shown in this diagram?,3
fbd_2149_q2,Basic Relational Reasoning,fbd_2149.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2149_q3,Comparative Reasoning,fbd_2149.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2149_q4,Compound Reasoning,fbd_2149.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.72}"
fbd_2149_q5,Extrapolative/Counterfactual Reasoning,fbd_2149.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2150_q1,Image Description,fbd_2150.png,How many force arrows are shown in this diagram?,1
fbd_2150_q2,Basic Relational Reasoning,fbd_2150.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2150_q3,Comparative Reasoning,fbd_2150.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2150_q4,Compound Reasoning,fbd_2150.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 118.11}"
fbd_2150_q5,Extrapolative/Counterfactual Reasoning,fbd_2150.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2151_q1,Image Description,fbd_2151.png,How many force arrows are shown in this diagram?,3
fbd_2151_q2,Basic Relational Reasoning,fbd_2151.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2151_q3,Comparative Reasoning,fbd_2151.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2151_q4,Compound Reasoning,fbd_2151.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 152.74}"
fbd_2151_q5,Extrapolative/Counterfactual Reasoning,fbd_2151.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2152_q1,Image Description,fbd_2152.png,How many force arrows are shown in this diagram?,3
fbd_2152_q2,Basic Relational Reasoning,fbd_2152.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2152_q3,Comparative Reasoning,fbd_2152.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2152_q4,Compound Reasoning,fbd_2152.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.68, 'net_force_N': 0.0}"
fbd_2152_q5,Extrapolative/Counterfactual Reasoning,fbd_2152.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2153_q1,Image Description,fbd_2153.png,How many force arrows are shown in this diagram?,1
fbd_2153_q2,Basic Relational Reasoning,fbd_2153.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2153_q3,Comparative Reasoning,fbd_2153.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2153_q4,Compound Reasoning,fbd_2153.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 214.05}"
fbd_2153_q5,Extrapolative/Counterfactual Reasoning,fbd_2153.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2154_q1,Image Description,fbd_2154.png,How many force arrows are shown in this diagram?,2
fbd_2154_q2,Basic Relational Reasoning,fbd_2154.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2154_q3,Comparative Reasoning,fbd_2154.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2154_q4,Compound Reasoning,fbd_2154.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_2154_q5,Extrapolative/Counterfactual Reasoning,fbd_2154.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_2155_q1,Image Description,fbd_2155.png,How many force arrows are shown in this diagram?,4
fbd_2155_q2,Basic Relational Reasoning,fbd_2155.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2155_q3,Comparative Reasoning,fbd_2155.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2155_q4,Compound Reasoning,fbd_2155.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.64, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 126.0, 'magnitude': 50.158406}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 161.0, 'magnitude': 50.158406}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2155_q5,Extrapolative/Counterfactual Reasoning,fbd_2155.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2156_q1,Image Description,fbd_2156.png,How many force arrows are shown in this diagram?,2
fbd_2156_q2,Basic Relational Reasoning,fbd_2156.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2156_q3,Comparative Reasoning,fbd_2156.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2156_q4,Compound Reasoning,fbd_2156.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 159.12, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 159.1182}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 222.76548}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2156_q5,Extrapolative/Counterfactual Reasoning,fbd_2156.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2157_q1,Image Description,fbd_2157.png,How many force arrows are shown in this diagram?,4
fbd_2157_q2,Basic Relational Reasoning,fbd_2157.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2157_q3,Comparative Reasoning,fbd_2157.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2157_q4,Compound Reasoning,fbd_2157.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 179.92, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 179.9154}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 179.9154}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2157_q5,Extrapolative/Counterfactual Reasoning,fbd_2157.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2158_q1,Image Description,fbd_2158.png,How many force arrows are shown in this diagram?,4
fbd_2158_q2,Basic Relational Reasoning,fbd_2158.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2158_q3,Comparative Reasoning,fbd_2158.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2158_q4,Compound Reasoning,fbd_2158.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 256.64}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 359.296}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2158_q5,Extrapolative/Counterfactual Reasoning,fbd_2158.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2159_q1,Image Description,fbd_2159.png,How many force arrows are shown in this diagram?,2
fbd_2159_q2,Basic Relational Reasoning,fbd_2159.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2159_q3,Comparative Reasoning,fbd_2159.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2159_q4,Compound Reasoning,fbd_2159.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 108.79, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 108.7929}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 108.7929}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2159_q5,Extrapolative/Counterfactual Reasoning,fbd_2159.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2160_q1,Image Description,fbd_2160.png,How many force arrows are shown in this diagram?,3
fbd_2160_q2,Basic Relational Reasoning,fbd_2160.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2160_q3,Comparative Reasoning,fbd_2160.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2160_q4,Compound Reasoning,fbd_2160.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 60.0, 'magnitude': 89.374861}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 60.0, 'magnitude': 125.124805}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2160_q5,Extrapolative/Counterfactual Reasoning,fbd_2160.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_2161_q1,Image Description,fbd_2161.png,How many force arrows are shown in this diagram?,4
fbd_2161_q2,Basic Relational Reasoning,fbd_2161.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2161_q3,Comparative Reasoning,fbd_2161.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2161_q4,Compound Reasoning,fbd_2161.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.63}"
fbd_2161_q5,Extrapolative/Counterfactual Reasoning,fbd_2161.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2162_q1,Image Description,fbd_2162.png,How many force arrows are shown in this diagram?,2
fbd_2162_q2,Basic Relational Reasoning,fbd_2162.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2162_q3,Comparative Reasoning,fbd_2162.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2162_q4,Compound Reasoning,fbd_2162.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 145.48}"
fbd_2162_q5,Extrapolative/Counterfactual Reasoning,fbd_2162.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2163_q1,Image Description,fbd_2163.png,How many force arrows are shown in this diagram?,4
fbd_2163_q2,Basic Relational Reasoning,fbd_2163.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2163_q3,Comparative Reasoning,fbd_2163.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2163_q4,Compound Reasoning,fbd_2163.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 141.17}"
fbd_2163_q5,Extrapolative/Counterfactual Reasoning,fbd_2163.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2164_q1,Image Description,fbd_2164.png,How many force arrows are shown in this diagram?,4
fbd_2164_q2,Basic Relational Reasoning,fbd_2164.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2164_q3,Comparative Reasoning,fbd_2164.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2164_q4,Compound Reasoning,fbd_2164.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 0.0}"
fbd_2164_q5,Extrapolative/Counterfactual Reasoning,fbd_2164.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2165_q1,Image Description,fbd_2165.png,How many force arrows are shown in this diagram?,2
fbd_2165_q2,Basic Relational Reasoning,fbd_2165.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2165_q3,Comparative Reasoning,fbd_2165.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2165_q4,Compound Reasoning,fbd_2165.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 200.71}"
fbd_2165_q5,Extrapolative/Counterfactual Reasoning,fbd_2165.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2166_q1,Image Description,fbd_2166.png,How many force arrows are shown in this diagram?,3
fbd_2166_q2,Basic Relational Reasoning,fbd_2166.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2166_q3,Comparative Reasoning,fbd_2166.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2166_q4,Compound Reasoning,fbd_2166.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_2166_q5,Extrapolative/Counterfactual Reasoning,fbd_2166.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_2167_q1,Image Description,fbd_2167.png,How many force arrows are shown in this diagram?,4
fbd_2167_q2,Basic Relational Reasoning,fbd_2167.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2167_q3,Comparative Reasoning,fbd_2167.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2167_q4,Compound Reasoning,fbd_2167.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 46.02, 'required_friction_coefficient': 0.52}"
fbd_2167_q5,Extrapolative/Counterfactual Reasoning,fbd_2167.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2168_q1,Image Description,fbd_2168.png,How many force arrows are shown in this diagram?,2
fbd_2168_q2,Basic Relational Reasoning,fbd_2168.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2168_q3,Comparative Reasoning,fbd_2168.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2168_q4,Compound Reasoning,fbd_2168.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 44.29, 'tension_magnitude': 142.98}"
fbd_2168_q5,Extrapolative/Counterfactual Reasoning,fbd_2168.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2169_q1,Image Description,fbd_2169.png,How many force arrows are shown in this diagram?,4
fbd_2169_q2,Basic Relational Reasoning,fbd_2169.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2169_q3,Comparative Reasoning,fbd_2169.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2169_q4,Compound Reasoning,fbd_2169.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 28.87, 'tension_magnitude': 139.73}"
fbd_2169_q5,Extrapolative/Counterfactual Reasoning,fbd_2169.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2170_q1,Image Description,fbd_2170.png,How many force arrows are shown in this diagram?,4
fbd_2170_q2,Basic Relational Reasoning,fbd_2170.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2170_q3,Comparative Reasoning,fbd_2170.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2170_q4,Compound Reasoning,fbd_2170.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 96.32}"
fbd_2170_q5,Extrapolative/Counterfactual Reasoning,fbd_2170.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (344.4 degrees; 0=right, 90=up)"
fbd_2171_q1,Image Description,fbd_2171.png,How many force arrows are shown in this diagram?,2
fbd_2171_q2,Basic Relational Reasoning,fbd_2171.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2171_q3,Comparative Reasoning,fbd_2171.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2171_q4,Compound Reasoning,fbd_2171.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 27.29, 'support_force_magnitude': 123.23}"
fbd_2171_q5,Extrapolative/Counterfactual Reasoning,fbd_2171.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2172_q1,Image Description,fbd_2172.png,How many force arrows are shown in this diagram?,3
fbd_2172_q2,Basic Relational Reasoning,fbd_2172.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2172_q3,Comparative Reasoning,fbd_2172.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2172_q4,Compound Reasoning,fbd_2172.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 42.88, 'required_friction_coefficient': 0.23}"
fbd_2172_q5,Extrapolative/Counterfactual Reasoning,fbd_2172.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (257.2 degrees; 0=right, 90=up)"
fbd_2173_q1,Image Description,fbd_2173.png,How many force arrows are shown in this diagram?,3
fbd_2173_q2,Basic Relational Reasoning,fbd_2173.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2173_q3,Comparative Reasoning,fbd_2173.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2173_q4,Compound Reasoning,fbd_2173.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_2173_q5,Extrapolative/Counterfactual Reasoning,fbd_2173.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2174_q1,Image Description,fbd_2174.png,How many force arrows are shown in this diagram?,1
fbd_2174_q2,Basic Relational Reasoning,fbd_2174.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2174_q3,Comparative Reasoning,fbd_2174.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2174_q4,Compound Reasoning,fbd_2174.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 67.1}"
fbd_2174_q5,Extrapolative/Counterfactual Reasoning,fbd_2174.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2175_q1,Image Description,fbd_2175.png,How many force arrows are shown in this diagram?,3
fbd_2175_q2,Basic Relational Reasoning,fbd_2175.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2175_q3,Comparative Reasoning,fbd_2175.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2175_q4,Compound Reasoning,fbd_2175.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 115.56}"
fbd_2175_q5,Extrapolative/Counterfactual Reasoning,fbd_2175.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2176_q1,Image Description,fbd_2176.png,How many force arrows are shown in this diagram?,3
fbd_2176_q2,Basic Relational Reasoning,fbd_2176.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2176_q3,Comparative Reasoning,fbd_2176.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2176_q4,Compound Reasoning,fbd_2176.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0}"
fbd_2176_q5,Extrapolative/Counterfactual Reasoning,fbd_2176.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2177_q1,Image Description,fbd_2177.png,How many force arrows are shown in this diagram?,1
fbd_2177_q2,Basic Relational Reasoning,fbd_2177.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2177_q3,Comparative Reasoning,fbd_2177.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2177_q4,Compound Reasoning,fbd_2177.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 172.95}"
fbd_2177_q5,Extrapolative/Counterfactual Reasoning,fbd_2177.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2178_q1,Image Description,fbd_2178.png,How many force arrows are shown in this diagram?,2
fbd_2178_q2,Basic Relational Reasoning,fbd_2178.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2178_q3,Comparative Reasoning,fbd_2178.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2178_q4,Compound Reasoning,fbd_2178.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29}"
fbd_2178_q5,Extrapolative/Counterfactual Reasoning,fbd_2178.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_2179_q1,Image Description,fbd_2179.png,How many force arrows are shown in this diagram?,4
fbd_2179_q2,Basic Relational Reasoning,fbd_2179.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2179_q3,Comparative Reasoning,fbd_2179.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2179_q4,Compound Reasoning,fbd_2179.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.68, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 128.0, 'magnitude': 88.976737}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 163.0, 'magnitude': 88.976737}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2179_q5,Extrapolative/Counterfactual Reasoning,fbd_2179.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2180_q1,Image Description,fbd_2180.png,How many force arrows are shown in this diagram?,2
fbd_2180_q2,Basic Relational Reasoning,fbd_2180.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2180_q3,Comparative Reasoning,fbd_2180.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2180_q4,Compound Reasoning,fbd_2180.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 84.76, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 84.7584}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 118.66176}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2180_q5,Extrapolative/Counterfactual Reasoning,fbd_2180.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2181_q1,Image Description,fbd_2181.png,How many force arrows are shown in this diagram?,4
fbd_2181_q2,Basic Relational Reasoning,fbd_2181.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2181_q3,Comparative Reasoning,fbd_2181.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2181_q4,Compound Reasoning,fbd_2181.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 81.72, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 81.7173}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 81.7173}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2181_q5,Extrapolative/Counterfactual Reasoning,fbd_2181.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2182_q1,Image Description,fbd_2182.png,How many force arrows are shown in this diagram?,4
fbd_2182_q2,Basic Relational Reasoning,fbd_2182.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2182_q3,Comparative Reasoning,fbd_2182.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2182_q4,Compound Reasoning,fbd_2182.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 178.74}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 250.236}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2182_q5,Extrapolative/Counterfactual Reasoning,fbd_2182.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2183_q1,Image Description,fbd_2183.png,How many force arrows are shown in this diagram?,2
fbd_2183_q2,Basic Relational Reasoning,fbd_2183.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2183_q3,Comparative Reasoning,fbd_2183.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2183_q4,Compound Reasoning,fbd_2183.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 137.93, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 137.9286}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 137.9286}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2183_q5,Extrapolative/Counterfactual Reasoning,fbd_2183.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2184_q1,Image Description,fbd_2184.png,How many force arrows are shown in this diagram?,3
fbd_2184_q2,Basic Relational Reasoning,fbd_2184.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2184_q3,Comparative Reasoning,fbd_2184.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2184_q4,Compound Reasoning,fbd_2184.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 71.0, 'magnitude': 62.517121}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 71.0, 'magnitude': 87.523969}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2184_q5,Extrapolative/Counterfactual Reasoning,fbd_2184.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_2185_q1,Image Description,fbd_2185.png,How many force arrows are shown in this diagram?,4
fbd_2185_q2,Basic Relational Reasoning,fbd_2185.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2185_q3,Comparative Reasoning,fbd_2185.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2185_q4,Compound Reasoning,fbd_2185.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.65}"
fbd_2185_q5,Extrapolative/Counterfactual Reasoning,fbd_2185.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2186_q1,Image Description,fbd_2186.png,How many force arrows are shown in this diagram?,2
fbd_2186_q2,Basic Relational Reasoning,fbd_2186.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2186_q3,Comparative Reasoning,fbd_2186.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2186_q4,Compound Reasoning,fbd_2186.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 75.34}"
fbd_2186_q5,Extrapolative/Counterfactual Reasoning,fbd_2186.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2187_q1,Image Description,fbd_2187.png,How many force arrows are shown in this diagram?,4
fbd_2187_q2,Basic Relational Reasoning,fbd_2187.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2187_q3,Comparative Reasoning,fbd_2187.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2187_q4,Compound Reasoning,fbd_2187.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 78.48}"
fbd_2187_q5,Extrapolative/Counterfactual Reasoning,fbd_2187.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2188_q1,Image Description,fbd_2188.png,How many force arrows are shown in this diagram?,4
fbd_2188_q2,Basic Relational Reasoning,fbd_2188.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2188_q3,Comparative Reasoning,fbd_2188.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2188_q4,Compound Reasoning,fbd_2188.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0}"
fbd_2188_q5,Extrapolative/Counterfactual Reasoning,fbd_2188.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2189_q1,Image Description,fbd_2189.png,How many force arrows are shown in this diagram?,2
fbd_2189_q2,Basic Relational Reasoning,fbd_2189.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2189_q3,Comparative Reasoning,fbd_2189.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2189_q4,Compound Reasoning,fbd_2189.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 70.53}"
fbd_2189_q5,Extrapolative/Counterfactual Reasoning,fbd_2189.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2190_q1,Image Description,fbd_2190.png,How many force arrows are shown in this diagram?,3
fbd_2190_q2,Basic Relational Reasoning,fbd_2190.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2190_q3,Comparative Reasoning,fbd_2190.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2190_q4,Compound Reasoning,fbd_2190.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29}"
fbd_2190_q5,Extrapolative/Counterfactual Reasoning,fbd_2190.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_2191_q1,Image Description,fbd_2191.png,How many force arrows are shown in this diagram?,4
fbd_2191_q2,Basic Relational Reasoning,fbd_2191.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2191_q3,Comparative Reasoning,fbd_2191.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2191_q4,Compound Reasoning,fbd_2191.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 25.83, 'required_friction_coefficient': 0.48}"
fbd_2191_q5,Extrapolative/Counterfactual Reasoning,fbd_2191.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2192_q1,Image Description,fbd_2192.png,How many force arrows are shown in this diagram?,2
fbd_2192_q2,Basic Relational Reasoning,fbd_2192.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2192_q3,Comparative Reasoning,fbd_2192.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2192_q4,Compound Reasoning,fbd_2192.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 35.73, 'tension_magnitude': 159.0}"
fbd_2192_q5,Extrapolative/Counterfactual Reasoning,fbd_2192.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2193_q1,Image Description,fbd_2193.png,How many force arrows are shown in this diagram?,4
fbd_2193_q2,Basic Relational Reasoning,fbd_2193.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2193_q3,Comparative Reasoning,fbd_2193.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2193_q4,Compound Reasoning,fbd_2193.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 15.76, 'tension_magnitude': 227.75}"
fbd_2193_q5,Extrapolative/Counterfactual Reasoning,fbd_2193.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2194_q1,Image Description,fbd_2194.png,How many force arrows are shown in this diagram?,4
fbd_2194_q2,Basic Relational Reasoning,fbd_2194.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2194_q3,Comparative Reasoning,fbd_2194.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2194_q4,Compound Reasoning,fbd_2194.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.7, 'net_force_N': 72.5}"
fbd_2194_q5,Extrapolative/Counterfactual Reasoning,fbd_2194.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (336.8 degrees; 0=right, 90=up)"
fbd_2195_q1,Image Description,fbd_2195.png,How many force arrows are shown in this diagram?,2
fbd_2195_q2,Basic Relational Reasoning,fbd_2195.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2195_q3,Comparative Reasoning,fbd_2195.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2195_q4,Compound Reasoning,fbd_2195.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 29.8, 'support_force_magnitude': 134.42}"
fbd_2195_q5,Extrapolative/Counterfactual Reasoning,fbd_2195.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2196_q1,Image Description,fbd_2196.png,How many force arrows are shown in this diagram?,3
fbd_2196_q2,Basic Relational Reasoning,fbd_2196.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2196_q3,Comparative Reasoning,fbd_2196.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2196_q4,Compound Reasoning,fbd_2196.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 12.47, 'required_friction_coefficient': 0.21}"
fbd_2196_q5,Extrapolative/Counterfactual Reasoning,fbd_2196.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (258.4 degrees; 0=right, 90=up)"
fbd_2197_q1,Image Description,fbd_2197.png,How many force arrows are shown in this diagram?,3
fbd_2197_q2,Basic Relational Reasoning,fbd_2197.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2197_q3,Comparative Reasoning,fbd_2197.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2197_q4,Compound Reasoning,fbd_2197.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.41}"
fbd_2197_q5,Extrapolative/Counterfactual Reasoning,fbd_2197.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2198_q1,Image Description,fbd_2198.png,How many force arrows are shown in this diagram?,1
fbd_2198_q2,Basic Relational Reasoning,fbd_2198.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2198_q3,Comparative Reasoning,fbd_2198.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2198_q4,Compound Reasoning,fbd_2198.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 172.36}"
fbd_2198_q5,Extrapolative/Counterfactual Reasoning,fbd_2198.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2199_q1,Image Description,fbd_2199.png,How many force arrows are shown in this diagram?,3
fbd_2199_q2,Basic Relational Reasoning,fbd_2199.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2199_q3,Comparative Reasoning,fbd_2199.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2199_q4,Compound Reasoning,fbd_2199.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 208.36}"
fbd_2199_q5,Extrapolative/Counterfactual Reasoning,fbd_2199.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2200_q1,Image Description,fbd_2200.png,How many force arrows are shown in this diagram?,3
fbd_2200_q2,Basic Relational Reasoning,fbd_2200.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2200_q3,Comparative Reasoning,fbd_2200.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2200_q4,Compound Reasoning,fbd_2200.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0}"
fbd_2200_q5,Extrapolative/Counterfactual Reasoning,fbd_2200.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2201_q1,Image Description,fbd_2201.png,How many force arrows are shown in this diagram?,1
fbd_2201_q2,Basic Relational Reasoning,fbd_2201.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2201_q3,Comparative Reasoning,fbd_2201.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2201_q4,Compound Reasoning,fbd_2201.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 178.44}"
fbd_2201_q5,Extrapolative/Counterfactual Reasoning,fbd_2201.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2202_q1,Image Description,fbd_2202.png,How many force arrows are shown in this diagram?,2
fbd_2202_q2,Basic Relational Reasoning,fbd_2202.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2202_q3,Comparative Reasoning,fbd_2202.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2202_q4,Compound Reasoning,fbd_2202.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53}"
fbd_2202_q5,Extrapolative/Counterfactual Reasoning,fbd_2202.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (242 degrees; 0=right, 90=up)"
fbd_2203_q1,Image Description,fbd_2203.png,How many force arrows are shown in this diagram?,4
fbd_2203_q2,Basic Relational Reasoning,fbd_2203.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2203_q3,Comparative Reasoning,fbd_2203.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2203_q4,Compound Reasoning,fbd_2203.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.54, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 123.0, 'magnitude': 119.954884}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 158.0, 'magnitude': 119.954884}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2203_q5,Extrapolative/Counterfactual Reasoning,fbd_2203.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2204_q1,Image Description,fbd_2204.png,How many force arrows are shown in this diagram?,2
fbd_2204_q2,Basic Relational Reasoning,fbd_2204.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2204_q3,Comparative Reasoning,fbd_2204.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2204_q4,Compound Reasoning,fbd_2204.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 207.87, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 207.8739}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 291.02346}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2204_q5,Extrapolative/Counterfactual Reasoning,fbd_2204.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2205_q1,Image Description,fbd_2205.png,How many force arrows are shown in this diagram?,4
fbd_2205_q2,Basic Relational Reasoning,fbd_2205.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2205_q3,Comparative Reasoning,fbd_2205.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2205_q4,Compound Reasoning,fbd_2205.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 147.74, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 147.7386}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 147.7386}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2205_q5,Extrapolative/Counterfactual Reasoning,fbd_2205.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2206_q1,Image Description,fbd_2206.png,How many force arrows are shown in this diagram?,4
fbd_2206_q2,Basic Relational Reasoning,fbd_2206.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2206_q3,Comparative Reasoning,fbd_2206.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2206_q4,Compound Reasoning,fbd_2206.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 356.49}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 499.086}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2206_q5,Extrapolative/Counterfactual Reasoning,fbd_2206.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2207_q1,Image Description,fbd_2207.png,How many force arrows are shown in this diagram?,2
fbd_2207_q2,Basic Relational Reasoning,fbd_2207.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2207_q3,Comparative Reasoning,fbd_2207.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2207_q4,Compound Reasoning,fbd_2207.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 169.32, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 169.3206}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 169.3206}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2207_q5,Extrapolative/Counterfactual Reasoning,fbd_2207.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2208_q1,Image Description,fbd_2208.png,How many force arrows are shown in this diagram?,3
fbd_2208_q2,Basic Relational Reasoning,fbd_2208.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2208_q3,Comparative Reasoning,fbd_2208.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2208_q4,Compound Reasoning,fbd_2208.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 60.0, 'magnitude': 67.455931}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 60.0, 'magnitude': 94.438303}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2208_q5,Extrapolative/Counterfactual Reasoning,fbd_2208.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_2209_q1,Image Description,fbd_2209.png,How many force arrows are shown in this diagram?,4
fbd_2209_q2,Basic Relational Reasoning,fbd_2209.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2209_q3,Comparative Reasoning,fbd_2209.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2209_q4,Compound Reasoning,fbd_2209.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_2209_q5,Extrapolative/Counterfactual Reasoning,fbd_2209.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2210_q1,Image Description,fbd_2210.png,How many force arrows are shown in this diagram?,2
fbd_2210_q2,Basic Relational Reasoning,fbd_2210.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2210_q3,Comparative Reasoning,fbd_2210.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2210_q4,Compound Reasoning,fbd_2210.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 172.95}"
fbd_2210_q5,Extrapolative/Counterfactual Reasoning,fbd_2210.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2211_q1,Image Description,fbd_2211.png,How many force arrows are shown in this diagram?,4
fbd_2211_q2,Basic Relational Reasoning,fbd_2211.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2211_q3,Comparative Reasoning,fbd_2211.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2211_q4,Compound Reasoning,fbd_2211.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 138.03}"
fbd_2211_q5,Extrapolative/Counterfactual Reasoning,fbd_2211.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2212_q1,Image Description,fbd_2212.png,How many force arrows are shown in this diagram?,4
fbd_2212_q2,Basic Relational Reasoning,fbd_2212.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2212_q3,Comparative Reasoning,fbd_2212.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2212_q4,Compound Reasoning,fbd_2212.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 0.0}"
fbd_2212_q5,Extrapolative/Counterfactual Reasoning,fbd_2212.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2213_q1,Image Description,fbd_2213.png,How many force arrows are shown in this diagram?,2
fbd_2213_q2,Basic Relational Reasoning,fbd_2213.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2213_q3,Comparative Reasoning,fbd_2213.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2213_q4,Compound Reasoning,fbd_2213.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 106.05}"
fbd_2213_q5,Extrapolative/Counterfactual Reasoning,fbd_2213.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2214_q1,Image Description,fbd_2214.png,How many force arrows are shown in this diagram?,3
fbd_2214_q2,Basic Relational Reasoning,fbd_2214.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2214_q3,Comparative Reasoning,fbd_2214.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2214_q4,Compound Reasoning,fbd_2214.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_2214_q5,Extrapolative/Counterfactual Reasoning,fbd_2214.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_2215_q1,Image Description,fbd_2215.png,How many force arrows are shown in this diagram?,4
fbd_2215_q2,Basic Relational Reasoning,fbd_2215.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2215_q3,Comparative Reasoning,fbd_2215.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2215_q4,Compound Reasoning,fbd_2215.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 35.0, 'required_friction_coefficient': 0.58}"
fbd_2215_q5,Extrapolative/Counterfactual Reasoning,fbd_2215.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2216_q1,Image Description,fbd_2216.png,How many force arrows are shown in this diagram?,2
fbd_2216_q2,Basic Relational Reasoning,fbd_2216.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2216_q3,Comparative Reasoning,fbd_2216.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2216_q4,Compound Reasoning,fbd_2216.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 26.49, 'tension_magnitude': 124.59}"
fbd_2216_q5,Extrapolative/Counterfactual Reasoning,fbd_2216.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2217_q1,Image Description,fbd_2217.png,How many force arrows are shown in this diagram?,4
fbd_2217_q2,Basic Relational Reasoning,fbd_2217.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2217_q3,Comparative Reasoning,fbd_2217.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2217_q4,Compound Reasoning,fbd_2217.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 15.41, 'tension_magnitude': 102.23}"
fbd_2217_q5,Extrapolative/Counterfactual Reasoning,fbd_2217.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2218_q1,Image Description,fbd_2218.png,How many force arrows are shown in this diagram?,4
fbd_2218_q2,Basic Relational Reasoning,fbd_2218.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2218_q3,Comparative Reasoning,fbd_2218.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2218_q4,Compound Reasoning,fbd_2218.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 23.77}"
fbd_2218_q5,Extrapolative/Counterfactual Reasoning,fbd_2218.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (349.3 degrees; 0=right, 90=up)"
fbd_2219_q1,Image Description,fbd_2219.png,How many force arrows are shown in this diagram?,2
fbd_2219_q2,Basic Relational Reasoning,fbd_2219.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2219_q3,Comparative Reasoning,fbd_2219.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2219_q4,Compound Reasoning,fbd_2219.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 22.2, 'support_force_magnitude': 141.53}"
fbd_2219_q5,Extrapolative/Counterfactual Reasoning,fbd_2219.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2220_q1,Image Description,fbd_2220.png,How many force arrows are shown in this diagram?,3
fbd_2220_q2,Basic Relational Reasoning,fbd_2220.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2220_q3,Comparative Reasoning,fbd_2220.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2220_q4,Compound Reasoning,fbd_2220.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 45.02, 'required_friction_coefficient': 0.04}"
fbd_2220_q5,Extrapolative/Counterfactual Reasoning,fbd_2220.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (267.5 degrees; 0=right, 90=up)"
fbd_2221_q1,Image Description,fbd_2221.png,How many force arrows are shown in this diagram?,3
fbd_2221_q2,Basic Relational Reasoning,fbd_2221.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2221_q3,Comparative Reasoning,fbd_2221.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2221_q4,Compound Reasoning,fbd_2221.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53}"
fbd_2221_q5,Extrapolative/Counterfactual Reasoning,fbd_2221.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2222_q1,Image Description,fbd_2222.png,How many force arrows are shown in this diagram?,1
fbd_2222_q2,Basic Relational Reasoning,fbd_2222.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2222_q3,Comparative Reasoning,fbd_2222.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2222_q4,Compound Reasoning,fbd_2222.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 92.41}"
fbd_2222_q5,Extrapolative/Counterfactual Reasoning,fbd_2222.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2223_q1,Image Description,fbd_2223.png,How many force arrows are shown in this diagram?,3
fbd_2223_q2,Basic Relational Reasoning,fbd_2223.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2223_q3,Comparative Reasoning,fbd_2223.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2223_q4,Compound Reasoning,fbd_2223.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 175.89}"
fbd_2223_q5,Extrapolative/Counterfactual Reasoning,fbd_2223.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2224_q1,Image Description,fbd_2224.png,How many force arrows are shown in this diagram?,3
fbd_2224_q2,Basic Relational Reasoning,fbd_2224.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2224_q3,Comparative Reasoning,fbd_2224.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2224_q4,Compound Reasoning,fbd_2224.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 0.0}"
fbd_2224_q5,Extrapolative/Counterfactual Reasoning,fbd_2224.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2225_q1,Image Description,fbd_2225.png,How many force arrows are shown in this diagram?,1
fbd_2225_q2,Basic Relational Reasoning,fbd_2225.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2225_q3,Comparative Reasoning,fbd_2225.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2225_q4,Compound Reasoning,fbd_2225.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 87.7}"
fbd_2225_q5,Extrapolative/Counterfactual Reasoning,fbd_2225.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2226_q1,Image Description,fbd_2226.png,How many force arrows are shown in this diagram?,2
fbd_2226_q2,Basic Relational Reasoning,fbd_2226.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2226_q3,Comparative Reasoning,fbd_2226.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2226_q4,Compound Reasoning,fbd_2226.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53}"
fbd_2226_q5,Extrapolative/Counterfactual Reasoning,fbd_2226.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (242 degrees; 0=right, 90=up)"
fbd_2227_q1,Image Description,fbd_2227.png,How many force arrows are shown in this diagram?,4
fbd_2227_q2,Basic Relational Reasoning,fbd_2227.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2227_q3,Comparative Reasoning,fbd_2227.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2227_q4,Compound Reasoning,fbd_2227.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 119.0, 'magnitude': 163.706769}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 154.0, 'magnitude': 163.706769}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2227_q5,Extrapolative/Counterfactual Reasoning,fbd_2227.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2228_q1,Image Description,fbd_2228.png,How many force arrows are shown in this diagram?,2
fbd_2228_q2,Basic Relational Reasoning,fbd_2228.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2228_q3,Comparative Reasoning,fbd_2228.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2228_q4,Compound Reasoning,fbd_2228.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 103.3, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 103.2993}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 144.61902}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2228_q5,Extrapolative/Counterfactual Reasoning,fbd_2228.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2229_q1,Image Description,fbd_2229.png,How many force arrows are shown in this diagram?,4
fbd_2229_q2,Basic Relational Reasoning,fbd_2229.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2229_q3,Comparative Reasoning,fbd_2229.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2229_q4,Compound Reasoning,fbd_2229.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 128.51, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 128.511}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 128.511}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2229_q5,Extrapolative/Counterfactual Reasoning,fbd_2229.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2230_q1,Image Description,fbd_2230.png,How many force arrows are shown in this diagram?,4
fbd_2230_q2,Basic Relational Reasoning,fbd_2230.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2230_q3,Comparative Reasoning,fbd_2230.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2230_q4,Compound Reasoning,fbd_2230.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.65, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 131.69}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 184.366}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2230_q5,Extrapolative/Counterfactual Reasoning,fbd_2230.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2231_q1,Image Description,fbd_2231.png,How many force arrows are shown in this diagram?,2
fbd_2231_q2,Basic Relational Reasoning,fbd_2231.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2231_q3,Comparative Reasoning,fbd_2231.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2231_q4,Compound Reasoning,fbd_2231.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 183.64, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 183.6432}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 183.6432}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2231_q5,Extrapolative/Counterfactual Reasoning,fbd_2231.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2232_q1,Image Description,fbd_2232.png,How many force arrows are shown in this diagram?,3
fbd_2232_q2,Basic Relational Reasoning,fbd_2232.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2232_q3,Comparative Reasoning,fbd_2232.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2232_q4,Compound Reasoning,fbd_2232.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 74.0, 'magnitude': 169.362391}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 74.0, 'magnitude': 237.107347}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2232_q5,Extrapolative/Counterfactual Reasoning,fbd_2232.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_2233_q1,Image Description,fbd_2233.png,How many force arrows are shown in this diagram?,4
fbd_2233_q2,Basic Relational Reasoning,fbd_2233.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2233_q3,Comparative Reasoning,fbd_2233.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2233_q4,Compound Reasoning,fbd_2233.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.44}"
fbd_2233_q5,Extrapolative/Counterfactual Reasoning,fbd_2233.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2234_q1,Image Description,fbd_2234.png,How many force arrows are shown in this diagram?,2
fbd_2234_q2,Basic Relational Reasoning,fbd_2234.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2234_q3,Comparative Reasoning,fbd_2234.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2234_q4,Compound Reasoning,fbd_2234.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 182.47}"
fbd_2234_q5,Extrapolative/Counterfactual Reasoning,fbd_2234.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2235_q1,Image Description,fbd_2235.png,How many force arrows are shown in this diagram?,4
fbd_2235_q2,Basic Relational Reasoning,fbd_2235.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2235_q3,Comparative Reasoning,fbd_2235.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2235_q4,Compound Reasoning,fbd_2235.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 99.47}"
fbd_2235_q5,Extrapolative/Counterfactual Reasoning,fbd_2235.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2236_q1,Image Description,fbd_2236.png,How many force arrows are shown in this diagram?,4
fbd_2236_q2,Basic Relational Reasoning,fbd_2236.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2236_q3,Comparative Reasoning,fbd_2236.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2236_q4,Compound Reasoning,fbd_2236.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 0.0}"
fbd_2236_q5,Extrapolative/Counterfactual Reasoning,fbd_2236.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2237_q1,Image Description,fbd_2237.png,How many force arrows are shown in this diagram?,2
fbd_2237_q2,Basic Relational Reasoning,fbd_2237.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2237_q3,Comparative Reasoning,fbd_2237.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2237_q4,Compound Reasoning,fbd_2237.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 68.47}"
fbd_2237_q5,Extrapolative/Counterfactual Reasoning,fbd_2237.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2238_q1,Image Description,fbd_2238.png,How many force arrows are shown in this diagram?,3
fbd_2238_q2,Basic Relational Reasoning,fbd_2238.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2238_q3,Comparative Reasoning,fbd_2238.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2238_q4,Compound Reasoning,fbd_2238.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34}"
fbd_2238_q5,Extrapolative/Counterfactual Reasoning,fbd_2238.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_2239_q1,Image Description,fbd_2239.png,How many force arrows are shown in this diagram?,4
fbd_2239_q2,Basic Relational Reasoning,fbd_2239.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2239_q3,Comparative Reasoning,fbd_2239.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2239_q4,Compound Reasoning,fbd_2239.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 44.85, 'required_friction_coefficient': 0.7}"
fbd_2239_q5,Extrapolative/Counterfactual Reasoning,fbd_2239.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2240_q1,Image Description,fbd_2240.png,How many force arrows are shown in this diagram?,2
fbd_2240_q2,Basic Relational Reasoning,fbd_2240.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2240_q3,Comparative Reasoning,fbd_2240.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2240_q4,Compound Reasoning,fbd_2240.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 32.05, 'tension_magnitude': 146.59}"
fbd_2240_q5,Extrapolative/Counterfactual Reasoning,fbd_2240.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2241_q1,Image Description,fbd_2241.png,How many force arrows are shown in this diagram?,4
fbd_2241_q2,Basic Relational Reasoning,fbd_2241.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2241_q3,Comparative Reasoning,fbd_2241.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2241_q4,Compound Reasoning,fbd_2241.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 27.1, 'tension_magnitude': 179.35}"
fbd_2241_q5,Extrapolative/Counterfactual Reasoning,fbd_2241.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2242_q1,Image Description,fbd_2242.png,How many force arrows are shown in this diagram?,4
fbd_2242_q2,Basic Relational Reasoning,fbd_2242.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2242_q3,Comparative Reasoning,fbd_2242.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2242_q4,Compound Reasoning,fbd_2242.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 73.41}"
fbd_2242_q5,Extrapolative/Counterfactual Reasoning,fbd_2242.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (342.3 degrees; 0=right, 90=up)"
fbd_2243_q1,Image Description,fbd_2243.png,How many force arrows are shown in this diagram?,2
fbd_2243_q2,Basic Relational Reasoning,fbd_2243.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2243_q3,Comparative Reasoning,fbd_2243.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2243_q4,Compound Reasoning,fbd_2243.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 23.07, 'support_force_magnitude': 151.68}"
fbd_2243_q5,Extrapolative/Counterfactual Reasoning,fbd_2243.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2244_q1,Image Description,fbd_2244.png,How many force arrows are shown in this diagram?,3
fbd_2244_q2,Basic Relational Reasoning,fbd_2244.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2244_q3,Comparative Reasoning,fbd_2244.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2244_q4,Compound Reasoning,fbd_2244.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 24.62, 'required_friction_coefficient': 0.15}"
fbd_2244_q5,Extrapolative/Counterfactual Reasoning,fbd_2244.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (261.6 degrees; 0=right, 90=up)"
fbd_2245_q1,Image Description,fbd_2245.png,How many force arrows are shown in this diagram?,3
fbd_2245_q2,Basic Relational Reasoning,fbd_2245.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2245_q3,Comparative Reasoning,fbd_2245.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2245_q4,Compound Reasoning,fbd_2245.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.54}"
fbd_2245_q5,Extrapolative/Counterfactual Reasoning,fbd_2245.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2246_q1,Image Description,fbd_2246.png,How many force arrows are shown in this diagram?,1
fbd_2246_q2,Basic Relational Reasoning,fbd_2246.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2246_q3,Comparative Reasoning,fbd_2246.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2246_q4,Compound Reasoning,fbd_2246.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 161.96}"
fbd_2246_q5,Extrapolative/Counterfactual Reasoning,fbd_2246.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2247_q1,Image Description,fbd_2247.png,How many force arrows are shown in this diagram?,3
fbd_2247_q2,Basic Relational Reasoning,fbd_2247.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2247_q3,Comparative Reasoning,fbd_2247.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2247_q4,Compound Reasoning,fbd_2247.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 154.31}"
fbd_2247_q5,Extrapolative/Counterfactual Reasoning,fbd_2247.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2248_q1,Image Description,fbd_2248.png,How many force arrows are shown in this diagram?,3
fbd_2248_q2,Basic Relational Reasoning,fbd_2248.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2248_q3,Comparative Reasoning,fbd_2248.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2248_q4,Compound Reasoning,fbd_2248.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 0.0}"
fbd_2248_q5,Extrapolative/Counterfactual Reasoning,fbd_2248.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2249_q1,Image Description,fbd_2249.png,How many force arrows are shown in this diagram?,1
fbd_2249_q2,Basic Relational Reasoning,fbd_2249.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2249_q3,Comparative Reasoning,fbd_2249.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2249_q4,Compound Reasoning,fbd_2249.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 107.91}"
fbd_2249_q5,Extrapolative/Counterfactual Reasoning,fbd_2249.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2250_q1,Image Description,fbd_2250.png,How many force arrows are shown in this diagram?,2
fbd_2250_q2,Basic Relational Reasoning,fbd_2250.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2250_q3,Comparative Reasoning,fbd_2250.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2250_q4,Compound Reasoning,fbd_2250.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_2250_q5,Extrapolative/Counterfactual Reasoning,fbd_2250.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_2251_q1,Image Description,fbd_2251.png,How many force arrows are shown in this diagram?,4
fbd_2251_q2,Basic Relational Reasoning,fbd_2251.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2251_q3,Comparative Reasoning,fbd_2251.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2251_q4,Compound Reasoning,fbd_2251.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.48, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 119.0, 'magnitude': 57.82933}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 154.0, 'magnitude': 57.82933}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2251_q5,Extrapolative/Counterfactual Reasoning,fbd_2251.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2252_q1,Image Description,fbd_2252.png,How many force arrows are shown in this diagram?,2
fbd_2252_q2,Basic Relational Reasoning,fbd_2252.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2252_q3,Comparative Reasoning,fbd_2252.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2252_q4,Compound Reasoning,fbd_2252.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 82.6, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 82.6002}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 115.64028}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2252_q5,Extrapolative/Counterfactual Reasoning,fbd_2252.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2253_q1,Image Description,fbd_2253.png,How many force arrows are shown in this diagram?,4
fbd_2253_q2,Basic Relational Reasoning,fbd_2253.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2253_q3,Comparative Reasoning,fbd_2253.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2253_q4,Compound Reasoning,fbd_2253.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 130.47, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 130.473}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 130.473}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2253_q5,Extrapolative/Counterfactual Reasoning,fbd_2253.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2254_q1,Image Description,fbd_2254.png,How many force arrows are shown in this diagram?,4
fbd_2254_q2,Basic Relational Reasoning,fbd_2254.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2254_q3,Comparative Reasoning,fbd_2254.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2254_q4,Compound Reasoning,fbd_2254.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 158.18}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 221.452}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2254_q5,Extrapolative/Counterfactual Reasoning,fbd_2254.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2255_q1,Image Description,fbd_2255.png,How many force arrows are shown in this diagram?,2
fbd_2255_q2,Basic Relational Reasoning,fbd_2255.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2255_q3,Comparative Reasoning,fbd_2255.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2255_q4,Compound Reasoning,fbd_2255.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 200.03, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 200.0259}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 200.0259}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2255_q5,Extrapolative/Counterfactual Reasoning,fbd_2255.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2256_q1,Image Description,fbd_2256.png,How many force arrows are shown in this diagram?,3
fbd_2256_q2,Basic Relational Reasoning,fbd_2256.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2256_q3,Comparative Reasoning,fbd_2256.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2256_q4,Compound Reasoning,fbd_2256.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 73.0, 'magnitude': 203.012407}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 73.0, 'magnitude': 284.21737}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2256_q5,Extrapolative/Counterfactual Reasoning,fbd_2256.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_2257_q1,Image Description,fbd_2257.png,How many force arrows are shown in this diagram?,4
fbd_2257_q2,Basic Relational Reasoning,fbd_2257.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2257_q3,Comparative Reasoning,fbd_2257.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2257_q4,Compound Reasoning,fbd_2257.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.56}"
fbd_2257_q5,Extrapolative/Counterfactual Reasoning,fbd_2257.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2258_q1,Image Description,fbd_2258.png,How many force arrows are shown in this diagram?,2
fbd_2258_q2,Basic Relational Reasoning,fbd_2258.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2258_q3,Comparative Reasoning,fbd_2258.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2258_q4,Compound Reasoning,fbd_2258.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 69.16}"
fbd_2258_q5,Extrapolative/Counterfactual Reasoning,fbd_2258.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2259_q1,Image Description,fbd_2259.png,How many force arrows are shown in this diagram?,4
fbd_2259_q2,Basic Relational Reasoning,fbd_2259.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2259_q3,Comparative Reasoning,fbd_2259.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2259_q4,Compound Reasoning,fbd_2259.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 76.03}"
fbd_2259_q5,Extrapolative/Counterfactual Reasoning,fbd_2259.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2260_q1,Image Description,fbd_2260.png,How many force arrows are shown in this diagram?,4
fbd_2260_q2,Basic Relational Reasoning,fbd_2260.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2260_q3,Comparative Reasoning,fbd_2260.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2260_q4,Compound Reasoning,fbd_2260.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0}"
fbd_2260_q5,Extrapolative/Counterfactual Reasoning,fbd_2260.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2261_q1,Image Description,fbd_2261.png,How many force arrows are shown in this diagram?,2
fbd_2261_q2,Basic Relational Reasoning,fbd_2261.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2261_q3,Comparative Reasoning,fbd_2261.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2261_q4,Compound Reasoning,fbd_2261.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 106.54}"
fbd_2261_q5,Extrapolative/Counterfactual Reasoning,fbd_2261.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2262_q1,Image Description,fbd_2262.png,How many force arrows are shown in this diagram?,3
fbd_2262_q2,Basic Relational Reasoning,fbd_2262.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2262_q3,Comparative Reasoning,fbd_2262.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2262_q4,Compound Reasoning,fbd_2262.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34}"
fbd_2262_q5,Extrapolative/Counterfactual Reasoning,fbd_2262.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_2263_q1,Image Description,fbd_2263.png,How many force arrows are shown in this diagram?,4
fbd_2263_q2,Basic Relational Reasoning,fbd_2263.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2263_q3,Comparative Reasoning,fbd_2263.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['A'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2263_q4,Compound Reasoning,fbd_2263.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 24.36, 'required_friction_coefficient': 0.52}"
fbd_2263_q5,Extrapolative/Counterfactual Reasoning,fbd_2263.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2264_q1,Image Description,fbd_2264.png,How many force arrows are shown in this diagram?,2
fbd_2264_q2,Basic Relational Reasoning,fbd_2264.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2264_q3,Comparative Reasoning,fbd_2264.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2264_q4,Compound Reasoning,fbd_2264.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 56.51, 'tension_magnitude': 159.21}"
fbd_2264_q5,Extrapolative/Counterfactual Reasoning,fbd_2264.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2265_q1,Image Description,fbd_2265.png,How many force arrows are shown in this diagram?,4
fbd_2265_q2,Basic Relational Reasoning,fbd_2265.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2265_q3,Comparative Reasoning,fbd_2265.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2265_q4,Compound Reasoning,fbd_2265.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 17.9, 'tension_magnitude': 84.22}"
fbd_2265_q5,Extrapolative/Counterfactual Reasoning,fbd_2265.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2266_q1,Image Description,fbd_2266.png,How many force arrows are shown in this diagram?,4
fbd_2266_q2,Basic Relational Reasoning,fbd_2266.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2266_q3,Comparative Reasoning,fbd_2266.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2266_q4,Compound Reasoning,fbd_2266.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 124.24}"
fbd_2266_q5,Extrapolative/Counterfactual Reasoning,fbd_2266.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (341.3 degrees; 0=right, 90=up)"
fbd_2267_q1,Image Description,fbd_2267.png,How many force arrows are shown in this diagram?,2
fbd_2267_q2,Basic Relational Reasoning,fbd_2267.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2267_q3,Comparative Reasoning,fbd_2267.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2267_q4,Compound Reasoning,fbd_2267.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 16.44, 'support_force_magnitude': 159.18}"
fbd_2267_q5,Extrapolative/Counterfactual Reasoning,fbd_2267.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2268_q1,Image Description,fbd_2268.png,How many force arrows are shown in this diagram?,3
fbd_2268_q2,Basic Relational Reasoning,fbd_2268.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2268_q3,Comparative Reasoning,fbd_2268.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2268_q4,Compound Reasoning,fbd_2268.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 20.24, 'required_friction_coefficient': 0.12}"
fbd_2268_q5,Extrapolative/Counterfactual Reasoning,fbd_2268.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (263.3 degrees; 0=right, 90=up)"
fbd_2269_q1,Image Description,fbd_2269.png,How many force arrows are shown in this diagram?,3
fbd_2269_q2,Basic Relational Reasoning,fbd_2269.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2269_q3,Comparative Reasoning,fbd_2269.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2269_q4,Compound Reasoning,fbd_2269.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.6}"
fbd_2269_q5,Extrapolative/Counterfactual Reasoning,fbd_2269.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2270_q1,Image Description,fbd_2270.png,How many force arrows are shown in this diagram?,1
fbd_2270_q2,Basic Relational Reasoning,fbd_2270.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2270_q3,Comparative Reasoning,fbd_2270.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2270_q4,Compound Reasoning,fbd_2270.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 102.71}"
fbd_2270_q5,Extrapolative/Counterfactual Reasoning,fbd_2270.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2271_q1,Image Description,fbd_2271.png,How many force arrows are shown in this diagram?,3
fbd_2271_q2,Basic Relational Reasoning,fbd_2271.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2271_q3,Comparative Reasoning,fbd_2271.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2271_q4,Compound Reasoning,fbd_2271.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 125.86}"
fbd_2271_q5,Extrapolative/Counterfactual Reasoning,fbd_2271.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2272_q1,Image Description,fbd_2272.png,How many force arrows are shown in this diagram?,3
fbd_2272_q2,Basic Relational Reasoning,fbd_2272.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2272_q3,Comparative Reasoning,fbd_2272.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2272_q4,Compound Reasoning,fbd_2272.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 0.0}"
fbd_2272_q5,Extrapolative/Counterfactual Reasoning,fbd_2272.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2273_q1,Image Description,fbd_2273.png,How many force arrows are shown in this diagram?,1
fbd_2273_q2,Basic Relational Reasoning,fbd_2273.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2273_q3,Comparative Reasoning,fbd_2273.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2273_q4,Compound Reasoning,fbd_2273.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 214.84}"
fbd_2273_q5,Extrapolative/Counterfactual Reasoning,fbd_2273.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2274_q1,Image Description,fbd_2274.png,How many force arrows are shown in this diagram?,2
fbd_2274_q2,Basic Relational Reasoning,fbd_2274.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2274_q3,Comparative Reasoning,fbd_2274.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2274_q4,Compound Reasoning,fbd_2274.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_2274_q5,Extrapolative/Counterfactual Reasoning,fbd_2274.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_2275_q1,Image Description,fbd_2275.png,How many force arrows are shown in this diagram?,4
fbd_2275_q2,Basic Relational Reasoning,fbd_2275.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2275_q3,Comparative Reasoning,fbd_2275.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2275_q4,Compound Reasoning,fbd_2275.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.5, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 120.0, 'magnitude': 180.363907}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 155.0, 'magnitude': 180.363907}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2275_q5,Extrapolative/Counterfactual Reasoning,fbd_2275.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2276_q1,Image Description,fbd_2276.png,How many force arrows are shown in this diagram?,2
fbd_2276_q2,Basic Relational Reasoning,fbd_2276.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2276_q3,Comparative Reasoning,fbd_2276.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2276_q4,Compound Reasoning,fbd_2276.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 120.96, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 120.9573}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 169.34022}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2276_q5,Extrapolative/Counterfactual Reasoning,fbd_2276.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2277_q1,Image Description,fbd_2277.png,How many force arrows are shown in this diagram?,4
fbd_2277_q2,Basic Relational Reasoning,fbd_2277.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2277_q3,Comparative Reasoning,fbd_2277.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2277_q4,Compound Reasoning,fbd_2277.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 113.6, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 113.5998}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 113.5998}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2277_q5,Extrapolative/Counterfactual Reasoning,fbd_2277.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2278_q1,Image Description,fbd_2278.png,How many force arrows are shown in this diagram?,4
fbd_2278_q2,Basic Relational Reasoning,fbd_2278.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2278_q3,Comparative Reasoning,fbd_2278.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2278_q4,Compound Reasoning,fbd_2278.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.73, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 110.7}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 154.98}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2278_q5,Extrapolative/Counterfactual Reasoning,fbd_2278.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2279_q1,Image Description,fbd_2279.png,How many force arrows are shown in this diagram?,2
fbd_2279_q2,Basic Relational Reasoning,fbd_2279.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2279_q3,Comparative Reasoning,fbd_2279.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2279_q4,Compound Reasoning,fbd_2279.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 129.39, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 129.3939}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 129.3939}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2279_q5,Extrapolative/Counterfactual Reasoning,fbd_2279.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2280_q1,Image Description,fbd_2280.png,How many force arrows are shown in this diagram?,3
fbd_2280_q2,Basic Relational Reasoning,fbd_2280.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2280_q3,Comparative Reasoning,fbd_2280.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2280_q4,Compound Reasoning,fbd_2280.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 71.0, 'magnitude': 169.185799}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 71.0, 'magnitude': 236.860119}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2280_q5,Extrapolative/Counterfactual Reasoning,fbd_2280.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_2281_q1,Image Description,fbd_2281.png,How many force arrows are shown in this diagram?,4
fbd_2281_q2,Basic Relational Reasoning,fbd_2281.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2281_q3,Comparative Reasoning,fbd_2281.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2281_q4,Compound Reasoning,fbd_2281.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.63}"
fbd_2281_q5,Extrapolative/Counterfactual Reasoning,fbd_2281.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2282_q1,Image Description,fbd_2282.png,How many force arrows are shown in this diagram?,2
fbd_2282_q2,Basic Relational Reasoning,fbd_2282.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2282_q3,Comparative Reasoning,fbd_2282.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2282_q4,Compound Reasoning,fbd_2282.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 85.74}"
fbd_2282_q5,Extrapolative/Counterfactual Reasoning,fbd_2282.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2283_q1,Image Description,fbd_2283.png,How many force arrows are shown in this diagram?,4
fbd_2283_q2,Basic Relational Reasoning,fbd_2283.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2283_q3,Comparative Reasoning,fbd_2283.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2283_q4,Compound Reasoning,fbd_2283.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 70.53}"
fbd_2283_q5,Extrapolative/Counterfactual Reasoning,fbd_2283.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2284_q1,Image Description,fbd_2284.png,How many force arrows are shown in this diagram?,4
fbd_2284_q2,Basic Relational Reasoning,fbd_2284.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2284_q3,Comparative Reasoning,fbd_2284.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2284_q4,Compound Reasoning,fbd_2284.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0}"
fbd_2284_q5,Extrapolative/Counterfactual Reasoning,fbd_2284.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2285_q1,Image Description,fbd_2285.png,How many force arrows are shown in this diagram?,2
fbd_2285_q2,Basic Relational Reasoning,fbd_2285.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2285_q3,Comparative Reasoning,fbd_2285.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2285_q4,Compound Reasoning,fbd_2285.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 160.59}"
fbd_2285_q5,Extrapolative/Counterfactual Reasoning,fbd_2285.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2286_q1,Image Description,fbd_2286.png,How many force arrows are shown in this diagram?,3
fbd_2286_q2,Basic Relational Reasoning,fbd_2286.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2286_q3,Comparative Reasoning,fbd_2286.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2286_q4,Compound Reasoning,fbd_2286.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.32}"
fbd_2286_q5,Extrapolative/Counterfactual Reasoning,fbd_2286.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_2287_q1,Image Description,fbd_2287.png,How many force arrows are shown in this diagram?,4
fbd_2287_q2,Basic Relational Reasoning,fbd_2287.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2287_q3,Comparative Reasoning,fbd_2287.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2287_q4,Compound Reasoning,fbd_2287.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 64.97, 'required_friction_coefficient': 0.63}"
fbd_2287_q5,Extrapolative/Counterfactual Reasoning,fbd_2287.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2288_q1,Image Description,fbd_2288.png,How many force arrows are shown in this diagram?,2
fbd_2288_q2,Basic Relational Reasoning,fbd_2288.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2288_q3,Comparative Reasoning,fbd_2288.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2288_q4,Compound Reasoning,fbd_2288.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 28.59, 'tension_magnitude': 128.08}"
fbd_2288_q5,Extrapolative/Counterfactual Reasoning,fbd_2288.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2289_q1,Image Description,fbd_2289.png,How many force arrows are shown in this diagram?,4
fbd_2289_q2,Basic Relational Reasoning,fbd_2289.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2289_q3,Comparative Reasoning,fbd_2289.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2289_q4,Compound Reasoning,fbd_2289.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 26.81, 'tension_magnitude': 195.45}"
fbd_2289_q5,Extrapolative/Counterfactual Reasoning,fbd_2289.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2290_q1,Image Description,fbd_2290.png,How many force arrows are shown in this diagram?,4
fbd_2290_q2,Basic Relational Reasoning,fbd_2290.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2290_q3,Comparative Reasoning,fbd_2290.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2290_q4,Compound Reasoning,fbd_2290.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 48.55}"
fbd_2290_q5,Extrapolative/Counterfactual Reasoning,fbd_2290.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (350.7 degrees; 0=right, 90=up)"
fbd_2291_q1,Image Description,fbd_2291.png,How many force arrows are shown in this diagram?,2
fbd_2291_q2,Basic Relational Reasoning,fbd_2291.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2291_q3,Comparative Reasoning,fbd_2291.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2291_q4,Compound Reasoning,fbd_2291.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 38.0, 'support_force_magnitude': 151.23}"
fbd_2291_q5,Extrapolative/Counterfactual Reasoning,fbd_2291.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2292_q1,Image Description,fbd_2292.png,How many force arrows are shown in this diagram?,3
fbd_2292_q2,Basic Relational Reasoning,fbd_2292.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2292_q3,Comparative Reasoning,fbd_2292.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2292_q4,Compound Reasoning,fbd_2292.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 17.04, 'required_friction_coefficient': 0.28}"
fbd_2292_q5,Extrapolative/Counterfactual Reasoning,fbd_2292.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254.1 degrees; 0=right, 90=up)"
fbd_2293_q1,Image Description,fbd_2293.png,How many force arrows are shown in this diagram?,3
fbd_2293_q2,Basic Relational Reasoning,fbd_2293.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2293_q3,Comparative Reasoning,fbd_2293.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2293_q4,Compound Reasoning,fbd_2293.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.54}"
fbd_2293_q5,Extrapolative/Counterfactual Reasoning,fbd_2293.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2294_q1,Image Description,fbd_2294.png,How many force arrows are shown in this diagram?,1
fbd_2294_q2,Basic Relational Reasoning,fbd_2294.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2294_q3,Comparative Reasoning,fbd_2294.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2294_q4,Compound Reasoning,fbd_2294.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 194.63}"
fbd_2294_q5,Extrapolative/Counterfactual Reasoning,fbd_2294.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2295_q1,Image Description,fbd_2295.png,How many force arrows are shown in this diagram?,3
fbd_2295_q2,Basic Relational Reasoning,fbd_2295.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2295_q3,Comparative Reasoning,fbd_2295.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2295_q4,Compound Reasoning,fbd_2295.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 102.71}"
fbd_2295_q5,Extrapolative/Counterfactual Reasoning,fbd_2295.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2296_q1,Image Description,fbd_2296.png,How many force arrows are shown in this diagram?,3
fbd_2296_q2,Basic Relational Reasoning,fbd_2296.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2296_q3,Comparative Reasoning,fbd_2296.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2296_q4,Compound Reasoning,fbd_2296.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.74, 'net_force_N': 0.0}"
fbd_2296_q5,Extrapolative/Counterfactual Reasoning,fbd_2296.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2297_q1,Image Description,fbd_2297.png,How many force arrows are shown in this diagram?,1
fbd_2297_q2,Basic Relational Reasoning,fbd_2297.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2297_q3,Comparative Reasoning,fbd_2297.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2297_q4,Compound Reasoning,fbd_2297.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 131.45}"
fbd_2297_q5,Extrapolative/Counterfactual Reasoning,fbd_2297.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2298_q1,Image Description,fbd_2298.png,How many force arrows are shown in this diagram?,2
fbd_2298_q2,Basic Relational Reasoning,fbd_2298.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2298_q3,Comparative Reasoning,fbd_2298.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2298_q4,Compound Reasoning,fbd_2298.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36}"
fbd_2298_q5,Extrapolative/Counterfactual Reasoning,fbd_2298.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_2299_q1,Image Description,fbd_2299.png,How many force arrows are shown in this diagram?,4
fbd_2299_q2,Basic Relational Reasoning,fbd_2299.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2299_q3,Comparative Reasoning,fbd_2299.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2299_q4,Compound Reasoning,fbd_2299.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.44, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 117.0, 'magnitude': 73.597317}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 152.0, 'magnitude': 73.597317}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2299_q5,Extrapolative/Counterfactual Reasoning,fbd_2299.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2300_q1,Image Description,fbd_2300.png,How many force arrows are shown in this diagram?,2
fbd_2300_q2,Basic Relational Reasoning,fbd_2300.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2300_q3,Comparative Reasoning,fbd_2300.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2300_q4,Compound Reasoning,fbd_2300.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 132.53, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 132.5331}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 185.54634}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2300_q5,Extrapolative/Counterfactual Reasoning,fbd_2300.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2301_q1,Image Description,fbd_2301.png,How many force arrows are shown in this diagram?,4
fbd_2301_q2,Basic Relational Reasoning,fbd_2301.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2301_q3,Comparative Reasoning,fbd_2301.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2301_q4,Compound Reasoning,fbd_2301.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 205.42, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 205.4214}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 205.4214}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2301_q5,Extrapolative/Counterfactual Reasoning,fbd_2301.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2302_q1,Image Description,fbd_2302.png,How many force arrows are shown in this diagram?,4
fbd_2302_q2,Basic Relational Reasoning,fbd_2302.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2302_q3,Comparative Reasoning,fbd_2302.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2302_q4,Compound Reasoning,fbd_2302.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 335.83}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 470.162}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2302_q5,Extrapolative/Counterfactual Reasoning,fbd_2302.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2303_q1,Image Description,fbd_2303.png,How many force arrows are shown in this diagram?,2
fbd_2303_q2,Basic Relational Reasoning,fbd_2303.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2303_q3,Comparative Reasoning,fbd_2303.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2303_q4,Compound Reasoning,fbd_2303.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 77.99, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 77.9895}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 77.9895}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2303_q5,Extrapolative/Counterfactual Reasoning,fbd_2303.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2304_q1,Image Description,fbd_2304.png,How many force arrows are shown in this diagram?,3
fbd_2304_q2,Basic Relational Reasoning,fbd_2304.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2304_q3,Comparative Reasoning,fbd_2304.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2304_q4,Compound Reasoning,fbd_2304.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 67.0, 'magnitude': 134.278369}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 67.0, 'magnitude': 187.989717}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2304_q5,Extrapolative/Counterfactual Reasoning,fbd_2304.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_2305_q1,Image Description,fbd_2305.png,How many force arrows are shown in this diagram?,4
fbd_2305_q2,Basic Relational Reasoning,fbd_2305.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2305_q3,Comparative Reasoning,fbd_2305.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2305_q4,Compound Reasoning,fbd_2305.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.62}"
fbd_2305_q5,Extrapolative/Counterfactual Reasoning,fbd_2305.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2306_q1,Image Description,fbd_2306.png,How many force arrows are shown in this diagram?,2
fbd_2306_q2,Basic Relational Reasoning,fbd_2306.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2306_q3,Comparative Reasoning,fbd_2306.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2306_q4,Compound Reasoning,fbd_2306.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 134.69}"
fbd_2306_q5,Extrapolative/Counterfactual Reasoning,fbd_2306.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2307_q1,Image Description,fbd_2307.png,How many force arrows are shown in this diagram?,4
fbd_2307_q2,Basic Relational Reasoning,fbd_2307.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2307_q3,Comparative Reasoning,fbd_2307.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2307_q4,Compound Reasoning,fbd_2307.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 104.48}"
fbd_2307_q5,Extrapolative/Counterfactual Reasoning,fbd_2307.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2308_q1,Image Description,fbd_2308.png,How many force arrows are shown in this diagram?,4
fbd_2308_q2,Basic Relational Reasoning,fbd_2308.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2308_q3,Comparative Reasoning,fbd_2308.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2308_q4,Compound Reasoning,fbd_2308.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0}"
fbd_2308_q5,Extrapolative/Counterfactual Reasoning,fbd_2308.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2309_q1,Image Description,fbd_2309.png,How many force arrows are shown in this diagram?,2
fbd_2309_q2,Basic Relational Reasoning,fbd_2309.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2309_q3,Comparative Reasoning,fbd_2309.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2309_q4,Compound Reasoning,fbd_2309.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 166.67}"
fbd_2309_q5,Extrapolative/Counterfactual Reasoning,fbd_2309.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2310_q1,Image Description,fbd_2310.png,How many force arrows are shown in this diagram?,3
fbd_2310_q2,Basic Relational Reasoning,fbd_2310.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2310_q3,Comparative Reasoning,fbd_2310.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2310_q4,Compound Reasoning,fbd_2310.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45}"
fbd_2310_q5,Extrapolative/Counterfactual Reasoning,fbd_2310.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (246 degrees; 0=right, 90=up)"
fbd_2311_q1,Image Description,fbd_2311.png,How many force arrows are shown in this diagram?,4
fbd_2311_q2,Basic Relational Reasoning,fbd_2311.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2311_q3,Comparative Reasoning,fbd_2311.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2311_q4,Compound Reasoning,fbd_2311.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 29.26, 'required_friction_coefficient': 0.54}"
fbd_2311_q5,Extrapolative/Counterfactual Reasoning,fbd_2311.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2312_q1,Image Description,fbd_2312.png,How many force arrows are shown in this diagram?,2
fbd_2312_q2,Basic Relational Reasoning,fbd_2312.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2312_q3,Comparative Reasoning,fbd_2312.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2312_q4,Compound Reasoning,fbd_2312.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 55.95, 'tension_magnitude': 117.2}"
fbd_2312_q5,Extrapolative/Counterfactual Reasoning,fbd_2312.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2313_q1,Image Description,fbd_2313.png,How many force arrows are shown in this diagram?,4
fbd_2313_q2,Basic Relational Reasoning,fbd_2313.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2313_q3,Comparative Reasoning,fbd_2313.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2313_q4,Compound Reasoning,fbd_2313.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 27.07, 'tension_magnitude': 221.9}"
fbd_2313_q5,Extrapolative/Counterfactual Reasoning,fbd_2313.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2314_q1,Image Description,fbd_2314.png,How many force arrows are shown in this diagram?,4
fbd_2314_q2,Basic Relational Reasoning,fbd_2314.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2314_q3,Comparative Reasoning,fbd_2314.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2314_q4,Compound Reasoning,fbd_2314.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 35.52}"
fbd_2314_q5,Extrapolative/Counterfactual Reasoning,fbd_2314.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (348.1 degrees; 0=right, 90=up)"
fbd_2315_q1,Image Description,fbd_2315.png,How many force arrows are shown in this diagram?,2
fbd_2315_q2,Basic Relational Reasoning,fbd_2315.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2315_q3,Comparative Reasoning,fbd_2315.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2315_q4,Compound Reasoning,fbd_2315.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 31.29, 'support_force_magnitude': 245.93}"
fbd_2315_q5,Extrapolative/Counterfactual Reasoning,fbd_2315.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2316_q1,Image Description,fbd_2316.png,How many force arrows are shown in this diagram?,3
fbd_2316_q2,Basic Relational Reasoning,fbd_2316.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2316_q3,Comparative Reasoning,fbd_2316.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2316_q4,Compound Reasoning,fbd_2316.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 50.16, 'required_friction_coefficient': 0.26}"
fbd_2316_q5,Extrapolative/Counterfactual Reasoning,fbd_2316.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (255.3 degrees; 0=right, 90=up)"
fbd_2317_q1,Image Description,fbd_2317.png,How many force arrows are shown in this diagram?,3
fbd_2317_q2,Basic Relational Reasoning,fbd_2317.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2317_q3,Comparative Reasoning,fbd_2317.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2317_q4,Compound Reasoning,fbd_2317.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.43}"
fbd_2317_q5,Extrapolative/Counterfactual Reasoning,fbd_2317.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2318_q1,Image Description,fbd_2318.png,How many force arrows are shown in this diagram?,1
fbd_2318_q2,Basic Relational Reasoning,fbd_2318.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2318_q3,Comparative Reasoning,fbd_2318.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2318_q4,Compound Reasoning,fbd_2318.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 74.95}"
fbd_2318_q5,Extrapolative/Counterfactual Reasoning,fbd_2318.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2319_q1,Image Description,fbd_2319.png,How many force arrows are shown in this diagram?,3
fbd_2319_q2,Basic Relational Reasoning,fbd_2319.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2319_q3,Comparative Reasoning,fbd_2319.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2319_q4,Compound Reasoning,fbd_2319.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 78.19}"
fbd_2319_q5,Extrapolative/Counterfactual Reasoning,fbd_2319.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2320_q1,Image Description,fbd_2320.png,How many force arrows are shown in this diagram?,3
fbd_2320_q2,Basic Relational Reasoning,fbd_2320.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2320_q3,Comparative Reasoning,fbd_2320.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2320_q4,Compound Reasoning,fbd_2320.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.65, 'net_force_N': 0.0}"
fbd_2320_q5,Extrapolative/Counterfactual Reasoning,fbd_2320.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2321_q1,Image Description,fbd_2321.png,How many force arrows are shown in this diagram?,1
fbd_2321_q2,Basic Relational Reasoning,fbd_2321.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2321_q3,Comparative Reasoning,fbd_2321.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2321_q4,Compound Reasoning,fbd_2321.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 113.4}"
fbd_2321_q5,Extrapolative/Counterfactual Reasoning,fbd_2321.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2322_q1,Image Description,fbd_2322.png,How many force arrows are shown in this diagram?,2
fbd_2322_q2,Basic Relational Reasoning,fbd_2322.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2322_q3,Comparative Reasoning,fbd_2322.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2322_q4,Compound Reasoning,fbd_2322.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_2322_q5,Extrapolative/Counterfactual Reasoning,fbd_2322.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (241 degrees; 0=right, 90=up)"
fbd_2323_q1,Image Description,fbd_2323.png,How many force arrows are shown in this diagram?,4
fbd_2323_q2,Basic Relational Reasoning,fbd_2323.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2323_q3,Comparative Reasoning,fbd_2323.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2323_q4,Compound Reasoning,fbd_2323.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.43, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 115.0, 'magnitude': 148.566595}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 150.0, 'magnitude': 148.566595}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2323_q5,Extrapolative/Counterfactual Reasoning,fbd_2323.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2324_q1,Image Description,fbd_2324.png,How many force arrows are shown in this diagram?,2
fbd_2324_q2,Basic Relational Reasoning,fbd_2324.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2324_q3,Comparative Reasoning,fbd_2324.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2324_q4,Compound Reasoning,fbd_2324.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 208.56, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 208.5606}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 291.98484}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2324_q5,Extrapolative/Counterfactual Reasoning,fbd_2324.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2325_q1,Image Description,fbd_2325.png,How many force arrows are shown in this diagram?,4
fbd_2325_q2,Basic Relational Reasoning,fbd_2325.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2325_q3,Comparative Reasoning,fbd_2325.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2325_q4,Compound Reasoning,fbd_2325.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 140.38, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 140.3811}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 140.3811}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2325_q5,Extrapolative/Counterfactual Reasoning,fbd_2325.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2326_q1,Image Description,fbd_2326.png,How many force arrows are shown in this diagram?,4
fbd_2326_q2,Basic Relational Reasoning,fbd_2326.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2326_q3,Comparative Reasoning,fbd_2326.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2326_q4,Compound Reasoning,fbd_2326.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 227.69}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 318.766}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2326_q5,Extrapolative/Counterfactual Reasoning,fbd_2326.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2327_q1,Image Description,fbd_2327.png,How many force arrows are shown in this diagram?,2
fbd_2327_q2,Basic Relational Reasoning,fbd_2327.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2327_q3,Comparative Reasoning,fbd_2327.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2327_q4,Compound Reasoning,fbd_2327.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 89.66, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 89.6634}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 89.6634}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2327_q5,Extrapolative/Counterfactual Reasoning,fbd_2327.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2328_q1,Image Description,fbd_2328.png,How many force arrows are shown in this diagram?,3
fbd_2328_q2,Basic Relational Reasoning,fbd_2328.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2328_q3,Comparative Reasoning,fbd_2328.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2328_q4,Compound Reasoning,fbd_2328.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 68.0, 'magnitude': 85.681245}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 68.0, 'magnitude': 119.953743}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2328_q5,Extrapolative/Counterfactual Reasoning,fbd_2328.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_2329_q1,Image Description,fbd_2329.png,How many force arrows are shown in this diagram?,4
fbd_2329_q2,Basic Relational Reasoning,fbd_2329.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2329_q3,Comparative Reasoning,fbd_2329.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2329_q4,Compound Reasoning,fbd_2329.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.57}"
fbd_2329_q5,Extrapolative/Counterfactual Reasoning,fbd_2329.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2330_q1,Image Description,fbd_2330.png,How many force arrows are shown in this diagram?,2
fbd_2330_q2,Basic Relational Reasoning,fbd_2330.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2330_q3,Comparative Reasoning,fbd_2330.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2330_q4,Compound Reasoning,fbd_2330.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 102.91}"
fbd_2330_q5,Extrapolative/Counterfactual Reasoning,fbd_2330.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2331_q1,Image Description,fbd_2331.png,How many force arrows are shown in this diagram?,4
fbd_2331_q2,Basic Relational Reasoning,fbd_2331.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2331_q3,Comparative Reasoning,fbd_2331.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2331_q4,Compound Reasoning,fbd_2331.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 102.81}"
fbd_2331_q5,Extrapolative/Counterfactual Reasoning,fbd_2331.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2332_q1,Image Description,fbd_2332.png,How many force arrows are shown in this diagram?,4
fbd_2332_q2,Basic Relational Reasoning,fbd_2332.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2332_q3,Comparative Reasoning,fbd_2332.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2332_q4,Compound Reasoning,fbd_2332.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0}"
fbd_2332_q5,Extrapolative/Counterfactual Reasoning,fbd_2332.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2333_q1,Image Description,fbd_2333.png,How many force arrows are shown in this diagram?,2
fbd_2333_q2,Basic Relational Reasoning,fbd_2333.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2333_q3,Comparative Reasoning,fbd_2333.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2333_q4,Compound Reasoning,fbd_2333.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 63.96}"
fbd_2333_q5,Extrapolative/Counterfactual Reasoning,fbd_2333.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2334_q1,Image Description,fbd_2334.png,How many force arrows are shown in this diagram?,3
fbd_2334_q2,Basic Relational Reasoning,fbd_2334.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2334_q3,Comparative Reasoning,fbd_2334.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2334_q4,Compound Reasoning,fbd_2334.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_2334_q5,Extrapolative/Counterfactual Reasoning,fbd_2334.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_2335_q1,Image Description,fbd_2335.png,How many force arrows are shown in this diagram?,4
fbd_2335_q2,Basic Relational Reasoning,fbd_2335.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2335_q3,Comparative Reasoning,fbd_2335.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2335_q4,Compound Reasoning,fbd_2335.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 27.29, 'required_friction_coefficient': 0.39}"
fbd_2335_q5,Extrapolative/Counterfactual Reasoning,fbd_2335.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2336_q1,Image Description,fbd_2336.png,How many force arrows are shown in this diagram?,2
fbd_2336_q2,Basic Relational Reasoning,fbd_2336.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2336_q3,Comparative Reasoning,fbd_2336.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2336_q4,Compound Reasoning,fbd_2336.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 28.31, 'tension_magnitude': 102.07}"
fbd_2336_q5,Extrapolative/Counterfactual Reasoning,fbd_2336.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2337_q1,Image Description,fbd_2337.png,How many force arrows are shown in this diagram?,4
fbd_2337_q2,Basic Relational Reasoning,fbd_2337.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2337_q3,Comparative Reasoning,fbd_2337.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2337_q4,Compound Reasoning,fbd_2337.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 31.86, 'tension_magnitude': 185.09}"
fbd_2337_q5,Extrapolative/Counterfactual Reasoning,fbd_2337.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2338_q1,Image Description,fbd_2338.png,How many force arrows are shown in this diagram?,4
fbd_2338_q2,Basic Relational Reasoning,fbd_2338.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2338_q3,Comparative Reasoning,fbd_2338.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2338_q4,Compound Reasoning,fbd_2338.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 50.82}"
fbd_2338_q5,Extrapolative/Counterfactual Reasoning,fbd_2338.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (347.6 degrees; 0=right, 90=up)"
fbd_2339_q1,Image Description,fbd_2339.png,How many force arrows are shown in this diagram?,2
fbd_2339_q2,Basic Relational Reasoning,fbd_2339.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2339_q3,Comparative Reasoning,fbd_2339.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2339_q4,Compound Reasoning,fbd_2339.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 41.36, 'support_force_magnitude': 215.49}"
fbd_2339_q5,Extrapolative/Counterfactual Reasoning,fbd_2339.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2340_q1,Image Description,fbd_2340.png,How many force arrows are shown in this diagram?,3
fbd_2340_q2,Basic Relational Reasoning,fbd_2340.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2340_q3,Comparative Reasoning,fbd_2340.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2340_q4,Compound Reasoning,fbd_2340.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 21.95, 'required_friction_coefficient': 0.06}"
fbd_2340_q5,Extrapolative/Counterfactual Reasoning,fbd_2340.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (266.5 degrees; 0=right, 90=up)"
fbd_2341_q1,Image Description,fbd_2341.png,How many force arrows are shown in this diagram?,3
fbd_2341_q2,Basic Relational Reasoning,fbd_2341.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2341_q3,Comparative Reasoning,fbd_2341.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2341_q4,Compound Reasoning,fbd_2341.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_2341_q5,Extrapolative/Counterfactual Reasoning,fbd_2341.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2342_q1,Image Description,fbd_2342.png,How many force arrows are shown in this diagram?,1
fbd_2342_q2,Basic Relational Reasoning,fbd_2342.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2342_q3,Comparative Reasoning,fbd_2342.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2342_q4,Compound Reasoning,fbd_2342.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 146.46}"
fbd_2342_q5,Extrapolative/Counterfactual Reasoning,fbd_2342.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2343_q1,Image Description,fbd_2343.png,How many force arrows are shown in this diagram?,3
fbd_2343_q2,Basic Relational Reasoning,fbd_2343.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2343_q3,Comparative Reasoning,fbd_2343.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2343_q4,Compound Reasoning,fbd_2343.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 139.6}"
fbd_2343_q5,Extrapolative/Counterfactual Reasoning,fbd_2343.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2344_q1,Image Description,fbd_2344.png,How many force arrows are shown in this diagram?,3
fbd_2344_q2,Basic Relational Reasoning,fbd_2344.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2344_q3,Comparative Reasoning,fbd_2344.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2344_q4,Compound Reasoning,fbd_2344.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 0.0}"
fbd_2344_q5,Extrapolative/Counterfactual Reasoning,fbd_2344.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2345_q1,Image Description,fbd_2345.png,How many force arrows are shown in this diagram?,1
fbd_2345_q2,Basic Relational Reasoning,fbd_2345.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2345_q3,Comparative Reasoning,fbd_2345.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2345_q4,Compound Reasoning,fbd_2345.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 160.88}"
fbd_2345_q5,Extrapolative/Counterfactual Reasoning,fbd_2345.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2346_q1,Image Description,fbd_2346.png,How many force arrows are shown in this diagram?,2
fbd_2346_q2,Basic Relational Reasoning,fbd_2346.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2346_q3,Comparative Reasoning,fbd_2346.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2346_q4,Compound Reasoning,fbd_2346.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_2346_q5,Extrapolative/Counterfactual Reasoning,fbd_2346.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_2347_q1,Image Description,fbd_2347.png,How many force arrows are shown in this diagram?,4
fbd_2347_q2,Basic Relational Reasoning,fbd_2347.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2347_q3,Comparative Reasoning,fbd_2347.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2347_q4,Compound Reasoning,fbd_2347.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.6, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 124.0, 'magnitude': 75.391599}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 159.0, 'magnitude': 75.391599}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2347_q5,Extrapolative/Counterfactual Reasoning,fbd_2347.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2348_q1,Image Description,fbd_2348.png,How many force arrows are shown in this diagram?,2
fbd_2348_q2,Basic Relational Reasoning,fbd_2348.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2348_q3,Comparative Reasoning,fbd_2348.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2348_q4,Compound Reasoning,fbd_2348.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 211.01, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 211.0131}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 295.41834}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2348_q5,Extrapolative/Counterfactual Reasoning,fbd_2348.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2349_q1,Image Description,fbd_2349.png,How many force arrows are shown in this diagram?,4
fbd_2349_q2,Basic Relational Reasoning,fbd_2349.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2349_q3,Comparative Reasoning,fbd_2349.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2349_q4,Compound Reasoning,fbd_2349.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 158.24, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 158.2353}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 158.2353}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2349_q5,Extrapolative/Counterfactual Reasoning,fbd_2349.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2350_q1,Image Description,fbd_2350.png,How many force arrows are shown in this diagram?,4
fbd_2350_q2,Basic Relational Reasoning,fbd_2350.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2350_q3,Comparative Reasoning,fbd_2350.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2350_q4,Compound Reasoning,fbd_2350.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 254.54}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 356.356}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2350_q5,Extrapolative/Counterfactual Reasoning,fbd_2350.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2351_q1,Image Description,fbd_2351.png,How many force arrows are shown in this diagram?,2
fbd_2351_q2,Basic Relational Reasoning,fbd_2351.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2351_q3,Comparative Reasoning,fbd_2351.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2351_q4,Compound Reasoning,fbd_2351.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 133.22, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 133.2198}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 133.2198}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2351_q5,Extrapolative/Counterfactual Reasoning,fbd_2351.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2352_q1,Image Description,fbd_2352.png,How many force arrows are shown in this diagram?,3
fbd_2352_q2,Basic Relational Reasoning,fbd_2352.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2352_q3,Comparative Reasoning,fbd_2352.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2352_q4,Compound Reasoning,fbd_2352.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 63.0, 'magnitude': 177.612528}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 63.0, 'magnitude': 248.657539}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2352_q5,Extrapolative/Counterfactual Reasoning,fbd_2352.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_2353_q1,Image Description,fbd_2353.png,How many force arrows are shown in this diagram?,4
fbd_2353_q2,Basic Relational Reasoning,fbd_2353.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2353_q3,Comparative Reasoning,fbd_2353.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2353_q4,Compound Reasoning,fbd_2353.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_2353_q5,Extrapolative/Counterfactual Reasoning,fbd_2353.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2354_q1,Image Description,fbd_2354.png,How many force arrows are shown in this diagram?,2
fbd_2354_q2,Basic Relational Reasoning,fbd_2354.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2354_q3,Comparative Reasoning,fbd_2354.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2354_q4,Compound Reasoning,fbd_2354.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 121.15}"
fbd_2354_q5,Extrapolative/Counterfactual Reasoning,fbd_2354.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2355_q1,Image Description,fbd_2355.png,How many force arrows are shown in this diagram?,4
fbd_2355_q2,Basic Relational Reasoning,fbd_2355.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2355_q3,Comparative Reasoning,fbd_2355.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2355_q4,Compound Reasoning,fbd_2355.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 104.67}"
fbd_2355_q5,Extrapolative/Counterfactual Reasoning,fbd_2355.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2356_q1,Image Description,fbd_2356.png,How many force arrows are shown in this diagram?,4
fbd_2356_q2,Basic Relational Reasoning,fbd_2356.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2356_q3,Comparative Reasoning,fbd_2356.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2356_q4,Compound Reasoning,fbd_2356.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 0.0}"
fbd_2356_q5,Extrapolative/Counterfactual Reasoning,fbd_2356.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2357_q1,Image Description,fbd_2357.png,How many force arrows are shown in this diagram?,2
fbd_2357_q2,Basic Relational Reasoning,fbd_2357.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2357_q3,Comparative Reasoning,fbd_2357.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2357_q4,Compound Reasoning,fbd_2357.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 183.25}"
fbd_2357_q5,Extrapolative/Counterfactual Reasoning,fbd_2357.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2358_q1,Image Description,fbd_2358.png,How many force arrows are shown in this diagram?,3
fbd_2358_q2,Basic Relational Reasoning,fbd_2358.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2358_q3,Comparative Reasoning,fbd_2358.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2358_q4,Compound Reasoning,fbd_2358.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_2358_q5,Extrapolative/Counterfactual Reasoning,fbd_2358.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_2359_q1,Image Description,fbd_2359.png,How many force arrows are shown in this diagram?,4
fbd_2359_q2,Basic Relational Reasoning,fbd_2359.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2359_q3,Comparative Reasoning,fbd_2359.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2359_q4,Compound Reasoning,fbd_2359.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 38.35, 'required_friction_coefficient': 0.45}"
fbd_2359_q5,Extrapolative/Counterfactual Reasoning,fbd_2359.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2360_q1,Image Description,fbd_2360.png,How many force arrows are shown in this diagram?,2
fbd_2360_q2,Basic Relational Reasoning,fbd_2360.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2360_q3,Comparative Reasoning,fbd_2360.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2360_q4,Compound Reasoning,fbd_2360.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 35.1, 'tension_magnitude': 96.84}"
fbd_2360_q5,Extrapolative/Counterfactual Reasoning,fbd_2360.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2361_q1,Image Description,fbd_2361.png,How many force arrows are shown in this diagram?,4
fbd_2361_q2,Basic Relational Reasoning,fbd_2361.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2361_q3,Comparative Reasoning,fbd_2361.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2361_q4,Compound Reasoning,fbd_2361.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 14.87, 'tension_magnitude': 191.55}"
fbd_2361_q5,Extrapolative/Counterfactual Reasoning,fbd_2361.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2362_q1,Image Description,fbd_2362.png,How many force arrows are shown in this diagram?,4
fbd_2362_q2,Basic Relational Reasoning,fbd_2362.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2362_q3,Comparative Reasoning,fbd_2362.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2362_q4,Compound Reasoning,fbd_2362.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 71.87}"
fbd_2362_q5,Extrapolative/Counterfactual Reasoning,fbd_2362.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (346.6 degrees; 0=right, 90=up)"
fbd_2363_q1,Image Description,fbd_2363.png,How many force arrows are shown in this diagram?,2
fbd_2363_q2,Basic Relational Reasoning,fbd_2363.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2363_q3,Comparative Reasoning,fbd_2363.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2363_q4,Compound Reasoning,fbd_2363.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 39.34, 'support_force_magnitude': 102.02}"
fbd_2363_q5,Extrapolative/Counterfactual Reasoning,fbd_2363.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2364_q1,Image Description,fbd_2364.png,How many force arrows are shown in this diagram?,3
fbd_2364_q2,Basic Relational Reasoning,fbd_2364.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2364_q3,Comparative Reasoning,fbd_2364.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2364_q4,Compound Reasoning,fbd_2364.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 24.42, 'required_friction_coefficient': 0.12}"
fbd_2364_q5,Extrapolative/Counterfactual Reasoning,fbd_2364.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (263.3 degrees; 0=right, 90=up)"
fbd_2365_q1,Image Description,fbd_2365.png,How many force arrows are shown in this diagram?,3
fbd_2365_q2,Basic Relational Reasoning,fbd_2365.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2365_q3,Comparative Reasoning,fbd_2365.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2365_q4,Compound Reasoning,fbd_2365.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.64}"
fbd_2365_q5,Extrapolative/Counterfactual Reasoning,fbd_2365.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2366_q1,Image Description,fbd_2366.png,How many force arrows are shown in this diagram?,1
fbd_2366_q2,Basic Relational Reasoning,fbd_2366.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2366_q3,Comparative Reasoning,fbd_2366.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2366_q4,Compound Reasoning,fbd_2366.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 196.2}"
fbd_2366_q5,Extrapolative/Counterfactual Reasoning,fbd_2366.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2367_q1,Image Description,fbd_2367.png,How many force arrows are shown in this diagram?,3
fbd_2367_q2,Basic Relational Reasoning,fbd_2367.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2367_q3,Comparative Reasoning,fbd_2367.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2367_q4,Compound Reasoning,fbd_2367.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 118.21}"
fbd_2367_q5,Extrapolative/Counterfactual Reasoning,fbd_2367.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2368_q1,Image Description,fbd_2368.png,How many force arrows are shown in this diagram?,3
fbd_2368_q2,Basic Relational Reasoning,fbd_2368.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2368_q3,Comparative Reasoning,fbd_2368.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2368_q4,Compound Reasoning,fbd_2368.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 0.0}"
fbd_2368_q5,Extrapolative/Counterfactual Reasoning,fbd_2368.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2369_q1,Image Description,fbd_2369.png,How many force arrows are shown in this diagram?,1
fbd_2369_q2,Basic Relational Reasoning,fbd_2369.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2369_q3,Comparative Reasoning,fbd_2369.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2369_q4,Compound Reasoning,fbd_2369.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 120.07}"
fbd_2369_q5,Extrapolative/Counterfactual Reasoning,fbd_2369.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2370_q1,Image Description,fbd_2370.png,How many force arrows are shown in this diagram?,2
fbd_2370_q2,Basic Relational Reasoning,fbd_2370.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2370_q3,Comparative Reasoning,fbd_2370.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2370_q4,Compound Reasoning,fbd_2370.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29}"
fbd_2370_q5,Extrapolative/Counterfactual Reasoning,fbd_2370.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_2371_q1,Image Description,fbd_2371.png,How many force arrows are shown in this diagram?,4
fbd_2371_q2,Basic Relational Reasoning,fbd_2371.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2371_q3,Comparative Reasoning,fbd_2371.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2371_q4,Compound Reasoning,fbd_2371.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.6, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 123.0, 'magnitude': 179.438684}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 158.0, 'magnitude': 179.438684}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2371_q5,Extrapolative/Counterfactual Reasoning,fbd_2371.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2372_q1,Image Description,fbd_2372.png,How many force arrows are shown in this diagram?,2
fbd_2372_q2,Basic Relational Reasoning,fbd_2372.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2372_q3,Comparative Reasoning,fbd_2372.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2372_q4,Compound Reasoning,fbd_2372.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 138.91, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 138.9096}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 194.47344}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2372_q5,Extrapolative/Counterfactual Reasoning,fbd_2372.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2373_q1,Image Description,fbd_2373.png,How many force arrows are shown in this diagram?,4
fbd_2373_q2,Basic Relational Reasoning,fbd_2373.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2373_q3,Comparative Reasoning,fbd_2373.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2373_q4,Compound Reasoning,fbd_2373.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 121.74, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 121.7421}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 121.7421}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2373_q5,Extrapolative/Counterfactual Reasoning,fbd_2373.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2374_q1,Image Description,fbd_2374.png,How many force arrows are shown in this diagram?,4
fbd_2374_q2,Basic Relational Reasoning,fbd_2374.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2374_q3,Comparative Reasoning,fbd_2374.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2374_q4,Compound Reasoning,fbd_2374.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.68, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 162.62}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 227.668}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2374_q5,Extrapolative/Counterfactual Reasoning,fbd_2374.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2375_q1,Image Description,fbd_2375.png,How many force arrows are shown in this diagram?,2
fbd_2375_q2,Basic Relational Reasoning,fbd_2375.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2375_q3,Comparative Reasoning,fbd_2375.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2375_q4,Compound Reasoning,fbd_2375.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 99.96, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 99.9639}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 99.9639}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2375_q5,Extrapolative/Counterfactual Reasoning,fbd_2375.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2376_q1,Image Description,fbd_2376.png,How many force arrows are shown in this diagram?,3
fbd_2376_q2,Basic Relational Reasoning,fbd_2376.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2376_q3,Comparative Reasoning,fbd_2376.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2376_q4,Compound Reasoning,fbd_2376.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 64.0, 'magnitude': 186.218622}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 64.0, 'magnitude': 260.706071}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2376_q5,Extrapolative/Counterfactual Reasoning,fbd_2376.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_2377_q1,Image Description,fbd_2377.png,How many force arrows are shown in this diagram?,4
fbd_2377_q2,Basic Relational Reasoning,fbd_2377.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2377_q3,Comparative Reasoning,fbd_2377.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2377_q4,Compound Reasoning,fbd_2377.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_2377_q5,Extrapolative/Counterfactual Reasoning,fbd_2377.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2378_q1,Image Description,fbd_2378.png,How many force arrows are shown in this diagram?,2
fbd_2378_q2,Basic Relational Reasoning,fbd_2378.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2378_q3,Comparative Reasoning,fbd_2378.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2378_q4,Compound Reasoning,fbd_2378.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 190.02}"
fbd_2378_q5,Extrapolative/Counterfactual Reasoning,fbd_2378.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2379_q1,Image Description,fbd_2379.png,How many force arrows are shown in this diagram?,4
fbd_2379_q2,Basic Relational Reasoning,fbd_2379.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2379_q3,Comparative Reasoning,fbd_2379.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2379_q4,Compound Reasoning,fbd_2379.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 90.06}"
fbd_2379_q5,Extrapolative/Counterfactual Reasoning,fbd_2379.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2380_q1,Image Description,fbd_2380.png,How many force arrows are shown in this diagram?,4
fbd_2380_q2,Basic Relational Reasoning,fbd_2380.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2380_q3,Comparative Reasoning,fbd_2380.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2380_q4,Compound Reasoning,fbd_2380.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 0.0}"
fbd_2380_q5,Extrapolative/Counterfactual Reasoning,fbd_2380.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2381_q1,Image Description,fbd_2381.png,How many force arrows are shown in this diagram?,2
fbd_2381_q2,Basic Relational Reasoning,fbd_2381.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2381_q3,Comparative Reasoning,fbd_2381.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2381_q4,Compound Reasoning,fbd_2381.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 92.12}"
fbd_2381_q5,Extrapolative/Counterfactual Reasoning,fbd_2381.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2382_q1,Image Description,fbd_2382.png,How many force arrows are shown in this diagram?,3
fbd_2382_q2,Basic Relational Reasoning,fbd_2382.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2382_q3,Comparative Reasoning,fbd_2382.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2382_q4,Compound Reasoning,fbd_2382.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45}"
fbd_2382_q5,Extrapolative/Counterfactual Reasoning,fbd_2382.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (246 degrees; 0=right, 90=up)"
fbd_2383_q1,Image Description,fbd_2383.png,How many force arrows are shown in this diagram?,4
fbd_2383_q2,Basic Relational Reasoning,fbd_2383.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2383_q3,Comparative Reasoning,fbd_2383.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2383_q4,Compound Reasoning,fbd_2383.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 41.09, 'required_friction_coefficient': 0.47}"
fbd_2383_q5,Extrapolative/Counterfactual Reasoning,fbd_2383.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2384_q1,Image Description,fbd_2384.png,How many force arrows are shown in this diagram?,2
fbd_2384_q2,Basic Relational Reasoning,fbd_2384.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2384_q3,Comparative Reasoning,fbd_2384.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2384_q4,Compound Reasoning,fbd_2384.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 17.57, 'tension_magnitude': 102.11}"
fbd_2384_q5,Extrapolative/Counterfactual Reasoning,fbd_2384.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2385_q1,Image Description,fbd_2385.png,How many force arrows are shown in this diagram?,4
fbd_2385_q2,Basic Relational Reasoning,fbd_2385.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2385_q3,Comparative Reasoning,fbd_2385.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2385_q4,Compound Reasoning,fbd_2385.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 34.11, 'tension_magnitude': 204.8}"
fbd_2385_q5,Extrapolative/Counterfactual Reasoning,fbd_2385.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2386_q1,Image Description,fbd_2386.png,How many force arrows are shown in this diagram?,4
fbd_2386_q2,Basic Relational Reasoning,fbd_2386.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2386_q3,Comparative Reasoning,fbd_2386.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2386_q4,Compound Reasoning,fbd_2386.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.65, 'net_force_N': 66.54}"
fbd_2386_q5,Extrapolative/Counterfactual Reasoning,fbd_2386.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (344.2 degrees; 0=right, 90=up)"
fbd_2387_q1,Image Description,fbd_2387.png,How many force arrows are shown in this diagram?,2
fbd_2387_q2,Basic Relational Reasoning,fbd_2387.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2387_q3,Comparative Reasoning,fbd_2387.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2387_q4,Compound Reasoning,fbd_2387.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 28.06, 'support_force_magnitude': 177.36}"
fbd_2387_q5,Extrapolative/Counterfactual Reasoning,fbd_2387.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2388_q1,Image Description,fbd_2388.png,How many force arrows are shown in this diagram?,3
fbd_2388_q2,Basic Relational Reasoning,fbd_2388.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2388_q3,Comparative Reasoning,fbd_2388.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2388_q4,Compound Reasoning,fbd_2388.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 17.98, 'required_friction_coefficient': 0.31}"
fbd_2388_q5,Extrapolative/Counterfactual Reasoning,fbd_2388.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252.9 degrees; 0=right, 90=up)"
fbd_2389_q1,Image Description,fbd_2389.png,How many force arrows are shown in this diagram?,3
fbd_2389_q2,Basic Relational Reasoning,fbd_2389.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2389_q3,Comparative Reasoning,fbd_2389.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2389_q4,Compound Reasoning,fbd_2389.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.62}"
fbd_2389_q5,Extrapolative/Counterfactual Reasoning,fbd_2389.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2390_q1,Image Description,fbd_2390.png,How many force arrows are shown in this diagram?,1
fbd_2390_q2,Basic Relational Reasoning,fbd_2390.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2390_q3,Comparative Reasoning,fbd_2390.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2390_q4,Compound Reasoning,fbd_2390.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 135.08}"
fbd_2390_q5,Extrapolative/Counterfactual Reasoning,fbd_2390.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2391_q1,Image Description,fbd_2391.png,How many force arrows are shown in this diagram?,3
fbd_2391_q2,Basic Relational Reasoning,fbd_2391.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2391_q3,Comparative Reasoning,fbd_2391.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2391_q4,Compound Reasoning,fbd_2391.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 94.27}"
fbd_2391_q5,Extrapolative/Counterfactual Reasoning,fbd_2391.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2392_q1,Image Description,fbd_2392.png,How many force arrows are shown in this diagram?,3
fbd_2392_q2,Basic Relational Reasoning,fbd_2392.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2392_q3,Comparative Reasoning,fbd_2392.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2392_q4,Compound Reasoning,fbd_2392.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0}"
fbd_2392_q5,Extrapolative/Counterfactual Reasoning,fbd_2392.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2393_q1,Image Description,fbd_2393.png,How many force arrows are shown in this diagram?,1
fbd_2393_q2,Basic Relational Reasoning,fbd_2393.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2393_q3,Comparative Reasoning,fbd_2393.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2393_q4,Compound Reasoning,fbd_2393.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 65.14}"
fbd_2393_q5,Extrapolative/Counterfactual Reasoning,fbd_2393.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2394_q1,Image Description,fbd_2394.png,How many force arrows are shown in this diagram?,2
fbd_2394_q2,Basic Relational Reasoning,fbd_2394.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2394_q3,Comparative Reasoning,fbd_2394.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2394_q4,Compound Reasoning,fbd_2394.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_2394_q5,Extrapolative/Counterfactual Reasoning,fbd_2394.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_2395_q1,Image Description,fbd_2395.png,How many force arrows are shown in this diagram?,4
fbd_2395_q2,Basic Relational Reasoning,fbd_2395.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2395_q3,Comparative Reasoning,fbd_2395.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2395_q4,Compound Reasoning,fbd_2395.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.59, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 125.0, 'magnitude': 139.342186}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 160.0, 'magnitude': 139.342186}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2395_q5,Extrapolative/Counterfactual Reasoning,fbd_2395.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2396_q1,Image Description,fbd_2396.png,How many force arrows are shown in this diagram?,2
fbd_2396_q2,Basic Relational Reasoning,fbd_2396.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2396_q3,Comparative Reasoning,fbd_2396.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2396_q4,Compound Reasoning,fbd_2396.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 141.85, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 141.8526}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 198.59364}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2396_q5,Extrapolative/Counterfactual Reasoning,fbd_2396.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2397_q1,Image Description,fbd_2397.png,How many force arrows are shown in this diagram?,4
fbd_2397_q2,Basic Relational Reasoning,fbd_2397.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2397_q3,Comparative Reasoning,fbd_2397.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2397_q4,Compound Reasoning,fbd_2397.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 70.53, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 70.5339}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 70.5339}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2397_q5,Extrapolative/Counterfactual Reasoning,fbd_2397.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2398_q1,Image Description,fbd_2398.png,How many force arrows are shown in this diagram?,4
fbd_2398_q2,Basic Relational Reasoning,fbd_2398.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2398_q3,Comparative Reasoning,fbd_2398.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2398_q4,Compound Reasoning,fbd_2398.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 320.56}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 448.784}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2398_q5,Extrapolative/Counterfactual Reasoning,fbd_2398.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2399_q1,Image Description,fbd_2399.png,How many force arrows are shown in this diagram?,2
fbd_2399_q2,Basic Relational Reasoning,fbd_2399.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2399_q3,Comparative Reasoning,fbd_2399.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2399_q4,Compound Reasoning,fbd_2399.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 172.75, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 172.7541}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 172.7541}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2399_q5,Extrapolative/Counterfactual Reasoning,fbd_2399.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2400_q1,Image Description,fbd_2400.png,How many force arrows are shown in this diagram?,3
fbd_2400_q2,Basic Relational Reasoning,fbd_2400.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2400_q3,Comparative Reasoning,fbd_2400.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2400_q4,Compound Reasoning,fbd_2400.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 67.0, 'magnitude': 63.481973}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 67.0, 'magnitude': 88.874762}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2400_q5,Extrapolative/Counterfactual Reasoning,fbd_2400.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_2401_q1,Image Description,fbd_2401.png,How many force arrows are shown in this diagram?,4
fbd_2401_q2,Basic Relational Reasoning,fbd_2401.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2401_q3,Comparative Reasoning,fbd_2401.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2401_q4,Compound Reasoning,fbd_2401.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.66}"
fbd_2401_q5,Extrapolative/Counterfactual Reasoning,fbd_2401.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2402_q1,Image Description,fbd_2402.png,How many force arrows are shown in this diagram?,2
fbd_2402_q2,Basic Relational Reasoning,fbd_2402.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2402_q3,Comparative Reasoning,fbd_2402.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2402_q4,Compound Reasoning,fbd_2402.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 165.4}"
fbd_2402_q5,Extrapolative/Counterfactual Reasoning,fbd_2402.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2403_q1,Image Description,fbd_2403.png,How many force arrows are shown in this diagram?,4
fbd_2403_q2,Basic Relational Reasoning,fbd_2403.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2403_q3,Comparative Reasoning,fbd_2403.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2403_q4,Compound Reasoning,fbd_2403.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 71.91}"
fbd_2403_q5,Extrapolative/Counterfactual Reasoning,fbd_2403.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2404_q1,Image Description,fbd_2404.png,How many force arrows are shown in this diagram?,4
fbd_2404_q2,Basic Relational Reasoning,fbd_2404.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2404_q3,Comparative Reasoning,fbd_2404.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2404_q4,Compound Reasoning,fbd_2404.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0}"
fbd_2404_q5,Extrapolative/Counterfactual Reasoning,fbd_2404.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2405_q1,Image Description,fbd_2405.png,How many force arrows are shown in this diagram?,2
fbd_2405_q2,Basic Relational Reasoning,fbd_2405.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2405_q3,Comparative Reasoning,fbd_2405.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2405_q4,Compound Reasoning,fbd_2405.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 97.22}"
fbd_2405_q5,Extrapolative/Counterfactual Reasoning,fbd_2405.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2406_q1,Image Description,fbd_2406.png,How many force arrows are shown in this diagram?,3
fbd_2406_q2,Basic Relational Reasoning,fbd_2406.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2406_q3,Comparative Reasoning,fbd_2406.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2406_q4,Compound Reasoning,fbd_2406.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38}"
fbd_2406_q5,Extrapolative/Counterfactual Reasoning,fbd_2406.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_2407_q1,Image Description,fbd_2407.png,How many force arrows are shown in this diagram?,4
fbd_2407_q2,Basic Relational Reasoning,fbd_2407.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2407_q3,Comparative Reasoning,fbd_2407.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2407_q4,Compound Reasoning,fbd_2407.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 40.83, 'required_friction_coefficient': 0.49}"
fbd_2407_q5,Extrapolative/Counterfactual Reasoning,fbd_2407.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2408_q1,Image Description,fbd_2408.png,How many force arrows are shown in this diagram?,2
fbd_2408_q2,Basic Relational Reasoning,fbd_2408.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2408_q3,Comparative Reasoning,fbd_2408.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2408_q4,Compound Reasoning,fbd_2408.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 21.02, 'tension_magnitude': 98.86}"
fbd_2408_q5,Extrapolative/Counterfactual Reasoning,fbd_2408.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2409_q1,Image Description,fbd_2409.png,How many force arrows are shown in this diagram?,4
fbd_2409_q2,Basic Relational Reasoning,fbd_2409.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2409_q3,Comparative Reasoning,fbd_2409.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2409_q4,Compound Reasoning,fbd_2409.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 20.83, 'tension_magnitude': 142.96}"
fbd_2409_q5,Extrapolative/Counterfactual Reasoning,fbd_2409.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2410_q1,Image Description,fbd_2410.png,How many force arrows are shown in this diagram?,4
fbd_2410_q2,Basic Relational Reasoning,fbd_2410.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2410_q3,Comparative Reasoning,fbd_2410.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2410_q4,Compound Reasoning,fbd_2410.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 68.21}"
fbd_2410_q5,Extrapolative/Counterfactual Reasoning,fbd_2410.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (348.7 degrees; 0=right, 90=up)"
fbd_2411_q1,Image Description,fbd_2411.png,How many force arrows are shown in this diagram?,2
fbd_2411_q2,Basic Relational Reasoning,fbd_2411.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2411_q3,Comparative Reasoning,fbd_2411.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2411_q4,Compound Reasoning,fbd_2411.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 16.63, 'support_force_magnitude': 58.91}"
fbd_2411_q5,Extrapolative/Counterfactual Reasoning,fbd_2411.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2412_q1,Image Description,fbd_2412.png,How many force arrows are shown in this diagram?,3
fbd_2412_q2,Basic Relational Reasoning,fbd_2412.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2412_q3,Comparative Reasoning,fbd_2412.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2412_q4,Compound Reasoning,fbd_2412.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 29.44, 'required_friction_coefficient': 0.02}"
fbd_2412_q5,Extrapolative/Counterfactual Reasoning,fbd_2412.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (268.7 degrees; 0=right, 90=up)"
fbd_2413_q1,Image Description,fbd_2413.png,How many force arrows are shown in this diagram?,3
fbd_2413_q2,Basic Relational Reasoning,fbd_2413.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2413_q3,Comparative Reasoning,fbd_2413.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2413_q4,Compound Reasoning,fbd_2413.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_2413_q5,Extrapolative/Counterfactual Reasoning,fbd_2413.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2414_q1,Image Description,fbd_2414.png,How many force arrows are shown in this diagram?,1
fbd_2414_q2,Basic Relational Reasoning,fbd_2414.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2414_q3,Comparative Reasoning,fbd_2414.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2414_q4,Compound Reasoning,fbd_2414.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 188.74}"
fbd_2414_q5,Extrapolative/Counterfactual Reasoning,fbd_2414.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2415_q1,Image Description,fbd_2415.png,How many force arrows are shown in this diagram?,3
fbd_2415_q2,Basic Relational Reasoning,fbd_2415.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2415_q3,Comparative Reasoning,fbd_2415.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2415_q4,Compound Reasoning,fbd_2415.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 193.16}"
fbd_2415_q5,Extrapolative/Counterfactual Reasoning,fbd_2415.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2416_q1,Image Description,fbd_2416.png,How many force arrows are shown in this diagram?,3
fbd_2416_q2,Basic Relational Reasoning,fbd_2416.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2416_q3,Comparative Reasoning,fbd_2416.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2416_q4,Compound Reasoning,fbd_2416.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 0.0}"
fbd_2416_q5,Extrapolative/Counterfactual Reasoning,fbd_2416.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2417_q1,Image Description,fbd_2417.png,How many force arrows are shown in this diagram?,1
fbd_2417_q2,Basic Relational Reasoning,fbd_2417.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2417_q3,Comparative Reasoning,fbd_2417.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2417_q4,Compound Reasoning,fbd_2417.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 137.63}"
fbd_2417_q5,Extrapolative/Counterfactual Reasoning,fbd_2417.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2418_q1,Image Description,fbd_2418.png,How many force arrows are shown in this diagram?,2
fbd_2418_q2,Basic Relational Reasoning,fbd_2418.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2418_q3,Comparative Reasoning,fbd_2418.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2418_q4,Compound Reasoning,fbd_2418.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_2418_q5,Extrapolative/Counterfactual Reasoning,fbd_2418.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_2419_q1,Image Description,fbd_2419.png,How many force arrows are shown in this diagram?,4
fbd_2419_q2,Basic Relational Reasoning,fbd_2419.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2419_q3,Comparative Reasoning,fbd_2419.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2419_q4,Compound Reasoning,fbd_2419.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.44, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 117.0, 'magnitude': 181.108837}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 152.0, 'magnitude': 181.108837}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2419_q5,Extrapolative/Counterfactual Reasoning,fbd_2419.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2420_q1,Image Description,fbd_2420.png,How many force arrows are shown in this diagram?,2
fbd_2420_q2,Basic Relational Reasoning,fbd_2420.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2420_q3,Comparative Reasoning,fbd_2420.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2420_q4,Compound Reasoning,fbd_2420.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 110.46, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 110.4606}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 154.64484}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2420_q5,Extrapolative/Counterfactual Reasoning,fbd_2420.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2421_q1,Image Description,fbd_2421.png,How many force arrows are shown in this diagram?,4
fbd_2421_q2,Basic Relational Reasoning,fbd_2421.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2421_q3,Comparative Reasoning,fbd_2421.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2421_q4,Compound Reasoning,fbd_2421.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 62.39, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 62.3916}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 62.3916}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2421_q5,Extrapolative/Counterfactual Reasoning,fbd_2421.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2422_q1,Image Description,fbd_2422.png,How many force arrows are shown in this diagram?,4
fbd_2422_q2,Basic Relational Reasoning,fbd_2422.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2422_q3,Comparative Reasoning,fbd_2422.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2422_q4,Compound Reasoning,fbd_2422.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.73, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 186.2}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 260.68}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2422_q5,Extrapolative/Counterfactual Reasoning,fbd_2422.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2423_q1,Image Description,fbd_2423.png,How many force arrows are shown in this diagram?,2
fbd_2423_q2,Basic Relational Reasoning,fbd_2423.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2423_q3,Comparative Reasoning,fbd_2423.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2423_q4,Compound Reasoning,fbd_2423.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 173.83, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 173.8332}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 173.8332}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2423_q5,Extrapolative/Counterfactual Reasoning,fbd_2423.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2424_q1,Image Description,fbd_2424.png,How many force arrows are shown in this diagram?,3
fbd_2424_q2,Basic Relational Reasoning,fbd_2424.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2424_q3,Comparative Reasoning,fbd_2424.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2424_q4,Compound Reasoning,fbd_2424.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 74.0, 'magnitude': 101.372255}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 74.0, 'magnitude': 141.921157}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2424_q5,Extrapolative/Counterfactual Reasoning,fbd_2424.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_2425_q1,Image Description,fbd_2425.png,How many force arrows are shown in this diagram?,4
fbd_2425_q2,Basic Relational Reasoning,fbd_2425.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2425_q3,Comparative Reasoning,fbd_2425.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2425_q4,Compound Reasoning,fbd_2425.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.67}"
fbd_2425_q5,Extrapolative/Counterfactual Reasoning,fbd_2425.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2426_q1,Image Description,fbd_2426.png,How many force arrows are shown in this diagram?,2
fbd_2426_q2,Basic Relational Reasoning,fbd_2426.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2426_q3,Comparative Reasoning,fbd_2426.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2426_q4,Compound Reasoning,fbd_2426.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 143.23}"
fbd_2426_q5,Extrapolative/Counterfactual Reasoning,fbd_2426.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2427_q1,Image Description,fbd_2427.png,How many force arrows are shown in this diagram?,4
fbd_2427_q2,Basic Relational Reasoning,fbd_2427.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2427_q3,Comparative Reasoning,fbd_2427.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2427_q4,Compound Reasoning,fbd_2427.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 164.12}"
fbd_2427_q5,Extrapolative/Counterfactual Reasoning,fbd_2427.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2428_q1,Image Description,fbd_2428.png,How many force arrows are shown in this diagram?,4
fbd_2428_q2,Basic Relational Reasoning,fbd_2428.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2428_q3,Comparative Reasoning,fbd_2428.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2428_q4,Compound Reasoning,fbd_2428.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 0.0}"
fbd_2428_q5,Extrapolative/Counterfactual Reasoning,fbd_2428.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2429_q1,Image Description,fbd_2429.png,How many force arrows are shown in this diagram?,2
fbd_2429_q2,Basic Relational Reasoning,fbd_2429.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2429_q3,Comparative Reasoning,fbd_2429.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2429_q4,Compound Reasoning,fbd_2429.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 114.09}"
fbd_2429_q5,Extrapolative/Counterfactual Reasoning,fbd_2429.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2430_q1,Image Description,fbd_2430.png,How many force arrows are shown in this diagram?,3
fbd_2430_q2,Basic Relational Reasoning,fbd_2430.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2430_q3,Comparative Reasoning,fbd_2430.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2430_q4,Compound Reasoning,fbd_2430.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.32}"
fbd_2430_q5,Extrapolative/Counterfactual Reasoning,fbd_2430.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_2431_q1,Image Description,fbd_2431.png,How many force arrows are shown in this diagram?,4
fbd_2431_q2,Basic Relational Reasoning,fbd_2431.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2431_q3,Comparative Reasoning,fbd_2431.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2431_q4,Compound Reasoning,fbd_2431.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 64.52, 'required_friction_coefficient': 0.5}"
fbd_2431_q5,Extrapolative/Counterfactual Reasoning,fbd_2431.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2432_q1,Image Description,fbd_2432.png,How many force arrows are shown in this diagram?,2
fbd_2432_q2,Basic Relational Reasoning,fbd_2432.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2432_q3,Comparative Reasoning,fbd_2432.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2432_q4,Compound Reasoning,fbd_2432.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 49.59, 'tension_magnitude': 111.49}"
fbd_2432_q5,Extrapolative/Counterfactual Reasoning,fbd_2432.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2433_q1,Image Description,fbd_2433.png,How many force arrows are shown in this diagram?,4
fbd_2433_q2,Basic Relational Reasoning,fbd_2433.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2433_q3,Comparative Reasoning,fbd_2433.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2433_q4,Compound Reasoning,fbd_2433.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 24.73, 'tension_magnitude': 190.03}"
fbd_2433_q5,Extrapolative/Counterfactual Reasoning,fbd_2433.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2434_q1,Image Description,fbd_2434.png,How many force arrows are shown in this diagram?,4
fbd_2434_q2,Basic Relational Reasoning,fbd_2434.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2434_q3,Comparative Reasoning,fbd_2434.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2434_q4,Compound Reasoning,fbd_2434.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 34.55}"
fbd_2434_q5,Extrapolative/Counterfactual Reasoning,fbd_2434.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (351.1 degrees; 0=right, 90=up)"
fbd_2435_q1,Image Description,fbd_2435.png,How many force arrows are shown in this diagram?,2
fbd_2435_q2,Basic Relational Reasoning,fbd_2435.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2435_q3,Comparative Reasoning,fbd_2435.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2435_q4,Compound Reasoning,fbd_2435.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 39.1, 'support_force_magnitude': 124.82}"
fbd_2435_q5,Extrapolative/Counterfactual Reasoning,fbd_2435.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2436_q1,Image Description,fbd_2436.png,How many force arrows are shown in this diagram?,3
fbd_2436_q2,Basic Relational Reasoning,fbd_2436.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2436_q3,Comparative Reasoning,fbd_2436.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2436_q4,Compound Reasoning,fbd_2436.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 53.1, 'required_friction_coefficient': 0.1}"
fbd_2436_q5,Extrapolative/Counterfactual Reasoning,fbd_2436.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (264.2 degrees; 0=right, 90=up)"
fbd_2437_q1,Image Description,fbd_2437.png,How many force arrows are shown in this diagram?,3
fbd_2437_q2,Basic Relational Reasoning,fbd_2437.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2437_q3,Comparative Reasoning,fbd_2437.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2437_q4,Compound Reasoning,fbd_2437.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.64}"
fbd_2437_q5,Extrapolative/Counterfactual Reasoning,fbd_2437.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2438_q1,Image Description,fbd_2438.png,How many force arrows are shown in this diagram?,1
fbd_2438_q2,Basic Relational Reasoning,fbd_2438.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2438_q3,Comparative Reasoning,fbd_2438.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2438_q4,Compound Reasoning,fbd_2438.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 132.34}"
fbd_2438_q5,Extrapolative/Counterfactual Reasoning,fbd_2438.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2439_q1,Image Description,fbd_2439.png,How many force arrows are shown in this diagram?,3
fbd_2439_q2,Basic Relational Reasoning,fbd_2439.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2439_q3,Comparative Reasoning,fbd_2439.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2439_q4,Compound Reasoning,fbd_2439.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 62.88}"
fbd_2439_q5,Extrapolative/Counterfactual Reasoning,fbd_2439.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2440_q1,Image Description,fbd_2440.png,How many force arrows are shown in this diagram?,3
fbd_2440_q2,Basic Relational Reasoning,fbd_2440.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2440_q3,Comparative Reasoning,fbd_2440.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2440_q4,Compound Reasoning,fbd_2440.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0}"
fbd_2440_q5,Extrapolative/Counterfactual Reasoning,fbd_2440.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2441_q1,Image Description,fbd_2441.png,How many force arrows are shown in this diagram?,1
fbd_2441_q2,Basic Relational Reasoning,fbd_2441.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2441_q3,Comparative Reasoning,fbd_2441.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2441_q4,Compound Reasoning,fbd_2441.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 117.92}"
fbd_2441_q5,Extrapolative/Counterfactual Reasoning,fbd_2441.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2442_q1,Image Description,fbd_2442.png,How many force arrows are shown in this diagram?,2
fbd_2442_q2,Basic Relational Reasoning,fbd_2442.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2442_q3,Comparative Reasoning,fbd_2442.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2442_q4,Compound Reasoning,fbd_2442.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_2442_q5,Extrapolative/Counterfactual Reasoning,fbd_2442.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_2443_q1,Image Description,fbd_2443.png,How many force arrows are shown in this diagram?,4
fbd_2443_q2,Basic Relational Reasoning,fbd_2443.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2443_q3,Comparative Reasoning,fbd_2443.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2443_q4,Compound Reasoning,fbd_2443.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.59, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 123.0, 'magnitude': 105.968375}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 158.0, 'magnitude': 105.968375}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2443_q5,Extrapolative/Counterfactual Reasoning,fbd_2443.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2444_q1,Image Description,fbd_2444.png,How many force arrows are shown in this diagram?,2
fbd_2444_q2,Basic Relational Reasoning,fbd_2444.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2444_q3,Comparative Reasoning,fbd_2444.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2444_q4,Compound Reasoning,fbd_2444.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 130.47, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 130.473}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 182.6622}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2444_q5,Extrapolative/Counterfactual Reasoning,fbd_2444.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2445_q1,Image Description,fbd_2445.png,How many force arrows are shown in this diagram?,4
fbd_2445_q2,Basic Relational Reasoning,fbd_2445.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2445_q3,Comparative Reasoning,fbd_2445.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2445_q4,Compound Reasoning,fbd_2445.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 130.18, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 130.1787}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 130.1787}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2445_q5,Extrapolative/Counterfactual Reasoning,fbd_2445.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2446_q1,Image Description,fbd_2446.png,How many force arrows are shown in this diagram?,4
fbd_2446_q2,Basic Relational Reasoning,fbd_2446.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2446_q3,Comparative Reasoning,fbd_2446.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2446_q4,Compound Reasoning,fbd_2446.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 202.77}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 283.878}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2446_q5,Extrapolative/Counterfactual Reasoning,fbd_2446.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2447_q1,Image Description,fbd_2447.png,How many force arrows are shown in this diagram?,2
fbd_2447_q2,Basic Relational Reasoning,fbd_2447.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2447_q3,Comparative Reasoning,fbd_2447.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2447_q4,Compound Reasoning,fbd_2447.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 215.72, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 215.7219}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 215.7219}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2447_q5,Extrapolative/Counterfactual Reasoning,fbd_2447.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2448_q1,Image Description,fbd_2448.png,How many force arrows are shown in this diagram?,3
fbd_2448_q2,Basic Relational Reasoning,fbd_2448.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2448_q3,Comparative Reasoning,fbd_2448.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2448_q4,Compound Reasoning,fbd_2448.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.32, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 72.0, 'magnitude': 177.920515}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 72.0, 'magnitude': 249.088721}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2448_q5,Extrapolative/Counterfactual Reasoning,fbd_2448.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_2449_q1,Image Description,fbd_2449.png,How many force arrows are shown in this diagram?,4
fbd_2449_q2,Basic Relational Reasoning,fbd_2449.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2449_q3,Comparative Reasoning,fbd_2449.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2449_q4,Compound Reasoning,fbd_2449.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.6}"
fbd_2449_q5,Extrapolative/Counterfactual Reasoning,fbd_2449.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2450_q1,Image Description,fbd_2450.png,How many force arrows are shown in this diagram?,2
fbd_2450_q2,Basic Relational Reasoning,fbd_2450.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2450_q3,Comparative Reasoning,fbd_2450.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2450_q4,Compound Reasoning,fbd_2450.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 134.99}"
fbd_2450_q5,Extrapolative/Counterfactual Reasoning,fbd_2450.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2451_q1,Image Description,fbd_2451.png,How many force arrows are shown in this diagram?,4
fbd_2451_q2,Basic Relational Reasoning,fbd_2451.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2451_q3,Comparative Reasoning,fbd_2451.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2451_q4,Compound Reasoning,fbd_2451.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 97.02}"
fbd_2451_q5,Extrapolative/Counterfactual Reasoning,fbd_2451.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2452_q1,Image Description,fbd_2452.png,How many force arrows are shown in this diagram?,4
fbd_2452_q2,Basic Relational Reasoning,fbd_2452.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2452_q3,Comparative Reasoning,fbd_2452.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2452_q4,Compound Reasoning,fbd_2452.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 0.0}"
fbd_2452_q5,Extrapolative/Counterfactual Reasoning,fbd_2452.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2453_q1,Image Description,fbd_2453.png,How many force arrows are shown in this diagram?,2
fbd_2453_q2,Basic Relational Reasoning,fbd_2453.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2453_q3,Comparative Reasoning,fbd_2453.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2453_q4,Compound Reasoning,fbd_2453.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 133.81}"
fbd_2453_q5,Extrapolative/Counterfactual Reasoning,fbd_2453.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2454_q1,Image Description,fbd_2454.png,How many force arrows are shown in this diagram?,3
fbd_2454_q2,Basic Relational Reasoning,fbd_2454.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2454_q3,Comparative Reasoning,fbd_2454.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2454_q4,Compound Reasoning,fbd_2454.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_2454_q5,Extrapolative/Counterfactual Reasoning,fbd_2454.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_2455_q1,Image Description,fbd_2455.png,How many force arrows are shown in this diagram?,4
fbd_2455_q2,Basic Relational Reasoning,fbd_2455.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2455_q3,Comparative Reasoning,fbd_2455.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2455_q4,Compound Reasoning,fbd_2455.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 48.4, 'required_friction_coefficient': 0.6}"
fbd_2455_q5,Extrapolative/Counterfactual Reasoning,fbd_2455.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2456_q1,Image Description,fbd_2456.png,How many force arrows are shown in this diagram?,2
fbd_2456_q2,Basic Relational Reasoning,fbd_2456.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2456_q3,Comparative Reasoning,fbd_2456.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2456_q4,Compound Reasoning,fbd_2456.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 27.14, 'tension_magnitude': 122.46}"
fbd_2456_q5,Extrapolative/Counterfactual Reasoning,fbd_2456.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2457_q1,Image Description,fbd_2457.png,How many force arrows are shown in this diagram?,4
fbd_2457_q2,Basic Relational Reasoning,fbd_2457.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2457_q3,Comparative Reasoning,fbd_2457.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2457_q4,Compound Reasoning,fbd_2457.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 15.09, 'tension_magnitude': 220.9}"
fbd_2457_q5,Extrapolative/Counterfactual Reasoning,fbd_2457.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2458_q1,Image Description,fbd_2458.png,How many force arrows are shown in this diagram?,4
fbd_2458_q2,Basic Relational Reasoning,fbd_2458.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2458_q3,Comparative Reasoning,fbd_2458.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2458_q4,Compound Reasoning,fbd_2458.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 52.63}"
fbd_2458_q5,Extrapolative/Counterfactual Reasoning,fbd_2458.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (348.7 degrees; 0=right, 90=up)"
fbd_2459_q1,Image Description,fbd_2459.png,How many force arrows are shown in this diagram?,2
fbd_2459_q2,Basic Relational Reasoning,fbd_2459.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2459_q3,Comparative Reasoning,fbd_2459.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2459_q4,Compound Reasoning,fbd_2459.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 27.93, 'support_force_magnitude': 85.28}"
fbd_2459_q5,Extrapolative/Counterfactual Reasoning,fbd_2459.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2460_q1,Image Description,fbd_2460.png,How many force arrows are shown in this diagram?,3
fbd_2460_q2,Basic Relational Reasoning,fbd_2460.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2460_q3,Comparative Reasoning,fbd_2460.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2460_q4,Compound Reasoning,fbd_2460.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 59.66, 'required_friction_coefficient': 0.1}"
fbd_2460_q5,Extrapolative/Counterfactual Reasoning,fbd_2460.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (264.1 degrees; 0=right, 90=up)"
fbd_2461_q1,Image Description,fbd_2461.png,How many force arrows are shown in this diagram?,3
fbd_2461_q2,Basic Relational Reasoning,fbd_2461.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2461_q3,Comparative Reasoning,fbd_2461.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2461_q4,Compound Reasoning,fbd_2461.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_2461_q5,Extrapolative/Counterfactual Reasoning,fbd_2461.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2462_q1,Image Description,fbd_2462.png,How many force arrows are shown in this diagram?,1
fbd_2462_q2,Basic Relational Reasoning,fbd_2462.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2462_q3,Comparative Reasoning,fbd_2462.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2462_q4,Compound Reasoning,fbd_2462.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 79.66}"
fbd_2462_q5,Extrapolative/Counterfactual Reasoning,fbd_2462.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2463_q1,Image Description,fbd_2463.png,How many force arrows are shown in this diagram?,3
fbd_2463_q2,Basic Relational Reasoning,fbd_2463.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2463_q3,Comparative Reasoning,fbd_2463.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2463_q4,Compound Reasoning,fbd_2463.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 76.62}"
fbd_2463_q5,Extrapolative/Counterfactual Reasoning,fbd_2463.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2464_q1,Image Description,fbd_2464.png,How many force arrows are shown in this diagram?,3
fbd_2464_q2,Basic Relational Reasoning,fbd_2464.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2464_q3,Comparative Reasoning,fbd_2464.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2464_q4,Compound Reasoning,fbd_2464.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0}"
fbd_2464_q5,Extrapolative/Counterfactual Reasoning,fbd_2464.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2465_q1,Image Description,fbd_2465.png,How many force arrows are shown in this diagram?,1
fbd_2465_q2,Basic Relational Reasoning,fbd_2465.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2465_q3,Comparative Reasoning,fbd_2465.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2465_q4,Compound Reasoning,fbd_2465.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 140.38}"
fbd_2465_q5,Extrapolative/Counterfactual Reasoning,fbd_2465.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2466_q1,Image Description,fbd_2466.png,How many force arrows are shown in this diagram?,2
fbd_2466_q2,Basic Relational Reasoning,fbd_2466.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2466_q3,Comparative Reasoning,fbd_2466.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2466_q4,Compound Reasoning,fbd_2466.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38}"
fbd_2466_q5,Extrapolative/Counterfactual Reasoning,fbd_2466.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_2467_q1,Image Description,fbd_2467.png,How many force arrows are shown in this diagram?,4
fbd_2467_q2,Basic Relational Reasoning,fbd_2467.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2467_q3,Comparative Reasoning,fbd_2467.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2467_q4,Compound Reasoning,fbd_2467.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.41, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 115.0, 'magnitude': 80.551367}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 150.0, 'magnitude': 80.551367}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2467_q5,Extrapolative/Counterfactual Reasoning,fbd_2467.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2468_q1,Image Description,fbd_2468.png,How many force arrows are shown in this diagram?,2
fbd_2468_q2,Basic Relational Reasoning,fbd_2468.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2468_q3,Comparative Reasoning,fbd_2468.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2468_q4,Compound Reasoning,fbd_2468.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 102.51, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 102.5145}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 143.5203}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2468_q5,Extrapolative/Counterfactual Reasoning,fbd_2468.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2469_q1,Image Description,fbd_2469.png,How many force arrows are shown in this diagram?,4
fbd_2469_q2,Basic Relational Reasoning,fbd_2469.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2469_q3,Comparative Reasoning,fbd_2469.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2469_q4,Compound Reasoning,fbd_2469.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 98.98, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 98.9829}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 98.9829}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2469_q5,Extrapolative/Counterfactual Reasoning,fbd_2469.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2470_q1,Image Description,fbd_2470.png,How many force arrows are shown in this diagram?,4
fbd_2470_q2,Basic Relational Reasoning,fbd_2470.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2470_q3,Comparative Reasoning,fbd_2470.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2470_q4,Compound Reasoning,fbd_2470.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 178.86}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 250.404}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2470_q5,Extrapolative/Counterfactual Reasoning,fbd_2470.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2471_q1,Image Description,fbd_2471.png,How many force arrows are shown in this diagram?,2
fbd_2471_q2,Basic Relational Reasoning,fbd_2471.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2471_q3,Comparative Reasoning,fbd_2471.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2471_q4,Compound Reasoning,fbd_2471.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 123.02, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 123.0174}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 123.0174}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2471_q5,Extrapolative/Counterfactual Reasoning,fbd_2471.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2472_q1,Image Description,fbd_2472.png,How many force arrows are shown in this diagram?,3
fbd_2472_q2,Basic Relational Reasoning,fbd_2472.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2472_q3,Comparative Reasoning,fbd_2472.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2472_q4,Compound Reasoning,fbd_2472.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 63.0, 'magnitude': 107.861151}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 63.0, 'magnitude': 151.005611}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2472_q5,Extrapolative/Counterfactual Reasoning,fbd_2472.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_2473_q1,Image Description,fbd_2473.png,How many force arrows are shown in this diagram?,4
fbd_2473_q2,Basic Relational Reasoning,fbd_2473.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2473_q3,Comparative Reasoning,fbd_2473.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2473_q4,Compound Reasoning,fbd_2473.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_2473_q5,Extrapolative/Counterfactual Reasoning,fbd_2473.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2474_q1,Image Description,fbd_2474.png,How many force arrows are shown in this diagram?,2
fbd_2474_q2,Basic Relational Reasoning,fbd_2474.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2474_q3,Comparative Reasoning,fbd_2474.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2474_q4,Compound Reasoning,fbd_2474.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 186.88}"
fbd_2474_q5,Extrapolative/Counterfactual Reasoning,fbd_2474.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2475_q1,Image Description,fbd_2475.png,How many force arrows are shown in this diagram?,4
fbd_2475_q2,Basic Relational Reasoning,fbd_2475.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2475_q3,Comparative Reasoning,fbd_2475.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2475_q4,Compound Reasoning,fbd_2475.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 64.94}"
fbd_2475_q5,Extrapolative/Counterfactual Reasoning,fbd_2475.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2476_q1,Image Description,fbd_2476.png,How many force arrows are shown in this diagram?,4
fbd_2476_q2,Basic Relational Reasoning,fbd_2476.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2476_q3,Comparative Reasoning,fbd_2476.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2476_q4,Compound Reasoning,fbd_2476.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 0.0}"
fbd_2476_q5,Extrapolative/Counterfactual Reasoning,fbd_2476.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2477_q1,Image Description,fbd_2477.png,How many force arrows are shown in this diagram?,2
fbd_2477_q2,Basic Relational Reasoning,fbd_2477.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2477_q3,Comparative Reasoning,fbd_2477.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2477_q4,Compound Reasoning,fbd_2477.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 95.06}"
fbd_2477_q5,Extrapolative/Counterfactual Reasoning,fbd_2477.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2478_q1,Image Description,fbd_2478.png,How many force arrows are shown in this diagram?,3
fbd_2478_q2,Basic Relational Reasoning,fbd_2478.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2478_q3,Comparative Reasoning,fbd_2478.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2478_q4,Compound Reasoning,fbd_2478.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_2478_q5,Extrapolative/Counterfactual Reasoning,fbd_2478.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_2479_q1,Image Description,fbd_2479.png,How many force arrows are shown in this diagram?,4
fbd_2479_q2,Basic Relational Reasoning,fbd_2479.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2479_q3,Comparative Reasoning,fbd_2479.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2479_q4,Compound Reasoning,fbd_2479.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 50.36, 'required_friction_coefficient': 0.71}"
fbd_2479_q5,Extrapolative/Counterfactual Reasoning,fbd_2479.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2480_q1,Image Description,fbd_2480.png,How many force arrows are shown in this diagram?,2
fbd_2480_q2,Basic Relational Reasoning,fbd_2480.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2480_q3,Comparative Reasoning,fbd_2480.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2480_q4,Compound Reasoning,fbd_2480.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 18.34, 'tension_magnitude': 140.88}"
fbd_2480_q5,Extrapolative/Counterfactual Reasoning,fbd_2480.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2481_q1,Image Description,fbd_2481.png,How many force arrows are shown in this diagram?,4
fbd_2481_q2,Basic Relational Reasoning,fbd_2481.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2481_q3,Comparative Reasoning,fbd_2481.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2481_q4,Compound Reasoning,fbd_2481.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 29.97, 'tension_magnitude': 222.05}"
fbd_2481_q5,Extrapolative/Counterfactual Reasoning,fbd_2481.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2482_q1,Image Description,fbd_2482.png,How many force arrows are shown in this diagram?,4
fbd_2482_q2,Basic Relational Reasoning,fbd_2482.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2482_q3,Comparative Reasoning,fbd_2482.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2482_q4,Compound Reasoning,fbd_2482.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 23.1}"
fbd_2482_q5,Extrapolative/Counterfactual Reasoning,fbd_2482.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (352 degrees; 0=right, 90=up)"
fbd_2483_q1,Image Description,fbd_2483.png,How many force arrows are shown in this diagram?,2
fbd_2483_q2,Basic Relational Reasoning,fbd_2483.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2483_q3,Comparative Reasoning,fbd_2483.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2483_q4,Compound Reasoning,fbd_2483.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 17.07, 'support_force_magnitude': 160.2}"
fbd_2483_q5,Extrapolative/Counterfactual Reasoning,fbd_2483.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2484_q1,Image Description,fbd_2484.png,How many force arrows are shown in this diagram?,3
fbd_2484_q2,Basic Relational Reasoning,fbd_2484.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2484_q3,Comparative Reasoning,fbd_2484.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2484_q4,Compound Reasoning,fbd_2484.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 44.37, 'required_friction_coefficient': 0.23}"
fbd_2484_q5,Extrapolative/Counterfactual Reasoning,fbd_2484.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (256.8 degrees; 0=right, 90=up)"
fbd_2485_q1,Image Description,fbd_2485.png,How many force arrows are shown in this diagram?,3
fbd_2485_q2,Basic Relational Reasoning,fbd_2485.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2485_q3,Comparative Reasoning,fbd_2485.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2485_q4,Compound Reasoning,fbd_2485.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.62}"
fbd_2485_q5,Extrapolative/Counterfactual Reasoning,fbd_2485.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2486_q1,Image Description,fbd_2486.png,How many force arrows are shown in this diagram?,1
fbd_2486_q2,Basic Relational Reasoning,fbd_2486.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2486_q3,Comparative Reasoning,fbd_2486.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2486_q4,Compound Reasoning,fbd_2486.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 148.13}"
fbd_2486_q5,Extrapolative/Counterfactual Reasoning,fbd_2486.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2487_q1,Image Description,fbd_2487.png,How many force arrows are shown in this diagram?,3
fbd_2487_q2,Basic Relational Reasoning,fbd_2487.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2487_q3,Comparative Reasoning,fbd_2487.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2487_q4,Compound Reasoning,fbd_2487.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 211.21}"
fbd_2487_q5,Extrapolative/Counterfactual Reasoning,fbd_2487.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2488_q1,Image Description,fbd_2488.png,How many force arrows are shown in this diagram?,3
fbd_2488_q2,Basic Relational Reasoning,fbd_2488.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2488_q3,Comparative Reasoning,fbd_2488.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2488_q4,Compound Reasoning,fbd_2488.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 0.0}"
fbd_2488_q5,Extrapolative/Counterfactual Reasoning,fbd_2488.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2489_q1,Image Description,fbd_2489.png,How many force arrows are shown in this diagram?,1
fbd_2489_q2,Basic Relational Reasoning,fbd_2489.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2489_q3,Comparative Reasoning,fbd_2489.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2489_q4,Compound Reasoning,fbd_2489.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 84.27}"
fbd_2489_q5,Extrapolative/Counterfactual Reasoning,fbd_2489.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2490_q1,Image Description,fbd_2490.png,How many force arrows are shown in this diagram?,2
fbd_2490_q2,Basic Relational Reasoning,fbd_2490.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2490_q3,Comparative Reasoning,fbd_2490.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2490_q4,Compound Reasoning,fbd_2490.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53}"
fbd_2490_q5,Extrapolative/Counterfactual Reasoning,fbd_2490.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (242 degrees; 0=right, 90=up)"
fbd_2491_q1,Image Description,fbd_2491.png,How many force arrows are shown in this diagram?,4
fbd_2491_q2,Basic Relational Reasoning,fbd_2491.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2491_q3,Comparative Reasoning,fbd_2491.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2491_q4,Compound Reasoning,fbd_2491.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.65, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 127.0, 'magnitude': 129.427829}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 162.0, 'magnitude': 129.427829}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2491_q5,Extrapolative/Counterfactual Reasoning,fbd_2491.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2492_q1,Image Description,fbd_2492.png,How many force arrows are shown in this diagram?,2
fbd_2492_q2,Basic Relational Reasoning,fbd_2492.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2492_q3,Comparative Reasoning,fbd_2492.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2492_q4,Compound Reasoning,fbd_2492.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 188.65, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 188.6463}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 264.10482}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2492_q5,Extrapolative/Counterfactual Reasoning,fbd_2492.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2493_q1,Image Description,fbd_2493.png,How many force arrows are shown in this diagram?,4
fbd_2493_q2,Basic Relational Reasoning,fbd_2493.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2493_q3,Comparative Reasoning,fbd_2493.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2493_q4,Compound Reasoning,fbd_2493.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 201.6, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 201.5955}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 201.5955}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2493_q5,Extrapolative/Counterfactual Reasoning,fbd_2493.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2494_q1,Image Description,fbd_2494.png,How many force arrows are shown in this diagram?,4
fbd_2494_q2,Basic Relational Reasoning,fbd_2494.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2494_q3,Comparative Reasoning,fbd_2494.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2494_q4,Compound Reasoning,fbd_2494.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 245.68}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 343.952}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2494_q5,Extrapolative/Counterfactual Reasoning,fbd_2494.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2495_q1,Image Description,fbd_2495.png,How many force arrows are shown in this diagram?,2
fbd_2495_q2,Basic Relational Reasoning,fbd_2495.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2495_q3,Comparative Reasoning,fbd_2495.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2495_q4,Compound Reasoning,fbd_2495.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 73.28, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 73.2807}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 73.2807}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2495_q5,Extrapolative/Counterfactual Reasoning,fbd_2495.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2496_q1,Image Description,fbd_2496.png,How many force arrows are shown in this diagram?,3
fbd_2496_q2,Basic Relational Reasoning,fbd_2496.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2496_q3,Comparative Reasoning,fbd_2496.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2496_q4,Compound Reasoning,fbd_2496.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 69.0, 'magnitude': 194.891262}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 69.0, 'magnitude': 272.847767}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2496_q5,Extrapolative/Counterfactual Reasoning,fbd_2496.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_2497_q1,Image Description,fbd_2497.png,How many force arrows are shown in this diagram?,4
fbd_2497_q2,Basic Relational Reasoning,fbd_2497.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2497_q3,Comparative Reasoning,fbd_2497.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2497_q4,Compound Reasoning,fbd_2497.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_2497_q5,Extrapolative/Counterfactual Reasoning,fbd_2497.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2498_q1,Image Description,fbd_2498.png,How many force arrows are shown in this diagram?,2
fbd_2498_q2,Basic Relational Reasoning,fbd_2498.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2498_q3,Comparative Reasoning,fbd_2498.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2498_q4,Compound Reasoning,fbd_2498.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 88.19}"
fbd_2498_q5,Extrapolative/Counterfactual Reasoning,fbd_2498.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2499_q1,Image Description,fbd_2499.png,How many force arrows are shown in this diagram?,4
fbd_2499_q2,Basic Relational Reasoning,fbd_2499.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2499_q3,Comparative Reasoning,fbd_2499.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2499_q4,Compound Reasoning,fbd_2499.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 176.97}"
fbd_2499_q5,Extrapolative/Counterfactual Reasoning,fbd_2499.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2500_q1,Image Description,fbd_2500.png,How many force arrows are shown in this diagram?,4
fbd_2500_q2,Basic Relational Reasoning,fbd_2500.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2500_q3,Comparative Reasoning,fbd_2500.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2500_q4,Compound Reasoning,fbd_2500.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.68, 'net_force_N': 0.0}"
fbd_2500_q5,Extrapolative/Counterfactual Reasoning,fbd_2500.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2501_q1,Image Description,fbd_2501.png,How many force arrows are shown in this diagram?,2
fbd_2501_q2,Basic Relational Reasoning,fbd_2501.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2501_q3,Comparative Reasoning,fbd_2501.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2501_q4,Compound Reasoning,fbd_2501.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 86.92}"
fbd_2501_q5,Extrapolative/Counterfactual Reasoning,fbd_2501.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2502_q1,Image Description,fbd_2502.png,How many force arrows are shown in this diagram?,3
fbd_2502_q2,Basic Relational Reasoning,fbd_2502.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2502_q3,Comparative Reasoning,fbd_2502.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2502_q4,Compound Reasoning,fbd_2502.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_2502_q5,Extrapolative/Counterfactual Reasoning,fbd_2502.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_2503_q1,Image Description,fbd_2503.png,How many force arrows are shown in this diagram?,4
fbd_2503_q2,Basic Relational Reasoning,fbd_2503.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2503_q3,Comparative Reasoning,fbd_2503.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2503_q4,Compound Reasoning,fbd_2503.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 40.21, 'required_friction_coefficient': 0.54}"
fbd_2503_q5,Extrapolative/Counterfactual Reasoning,fbd_2503.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2504_q1,Image Description,fbd_2504.png,How many force arrows are shown in this diagram?,2
fbd_2504_q2,Basic Relational Reasoning,fbd_2504.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2504_q3,Comparative Reasoning,fbd_2504.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2504_q4,Compound Reasoning,fbd_2504.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 23.49, 'tension_magnitude': 54.89}"
fbd_2504_q5,Extrapolative/Counterfactual Reasoning,fbd_2504.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2505_q1,Image Description,fbd_2505.png,How many force arrows are shown in this diagram?,4
fbd_2505_q2,Basic Relational Reasoning,fbd_2505.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2505_q3,Comparative Reasoning,fbd_2505.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2505_q4,Compound Reasoning,fbd_2505.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 22.2, 'tension_magnitude': 216.14}"
fbd_2505_q5,Extrapolative/Counterfactual Reasoning,fbd_2505.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2506_q1,Image Description,fbd_2506.png,How many force arrows are shown in this diagram?,4
fbd_2506_q2,Basic Relational Reasoning,fbd_2506.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2506_q3,Comparative Reasoning,fbd_2506.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2506_q4,Compound Reasoning,fbd_2506.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 108.96}"
fbd_2506_q5,Extrapolative/Counterfactual Reasoning,fbd_2506.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (339.1 degrees; 0=right, 90=up)"
fbd_2507_q1,Image Description,fbd_2507.png,How many force arrows are shown in this diagram?,2
fbd_2507_q2,Basic Relational Reasoning,fbd_2507.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2507_q3,Comparative Reasoning,fbd_2507.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2507_q4,Compound Reasoning,fbd_2507.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 35.44, 'support_force_magnitude': 184.65}"
fbd_2507_q5,Extrapolative/Counterfactual Reasoning,fbd_2507.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2508_q1,Image Description,fbd_2508.png,How many force arrows are shown in this diagram?,3
fbd_2508_q2,Basic Relational Reasoning,fbd_2508.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2508_q3,Comparative Reasoning,fbd_2508.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2508_q4,Compound Reasoning,fbd_2508.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 15.48, 'required_friction_coefficient': 0.09}"
fbd_2508_q5,Extrapolative/Counterfactual Reasoning,fbd_2508.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (264.7 degrees; 0=right, 90=up)"
fbd_2509_q1,Image Description,fbd_2509.png,How many force arrows are shown in this diagram?,3
fbd_2509_q2,Basic Relational Reasoning,fbd_2509.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2509_q3,Comparative Reasoning,fbd_2509.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2509_q4,Compound Reasoning,fbd_2509.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_2509_q5,Extrapolative/Counterfactual Reasoning,fbd_2509.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2510_q1,Image Description,fbd_2510.png,How many force arrows are shown in this diagram?,1
fbd_2510_q2,Basic Relational Reasoning,fbd_2510.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2510_q3,Comparative Reasoning,fbd_2510.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2510_q4,Compound Reasoning,fbd_2510.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 137.93}"
fbd_2510_q5,Extrapolative/Counterfactual Reasoning,fbd_2510.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2511_q1,Image Description,fbd_2511.png,How many force arrows are shown in this diagram?,3
fbd_2511_q2,Basic Relational Reasoning,fbd_2511.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2511_q3,Comparative Reasoning,fbd_2511.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2511_q4,Compound Reasoning,fbd_2511.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 198.55}"
fbd_2511_q5,Extrapolative/Counterfactual Reasoning,fbd_2511.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2512_q1,Image Description,fbd_2512.png,How many force arrows are shown in this diagram?,3
fbd_2512_q2,Basic Relational Reasoning,fbd_2512.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2512_q3,Comparative Reasoning,fbd_2512.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2512_q4,Compound Reasoning,fbd_2512.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 0.0}"
fbd_2512_q5,Extrapolative/Counterfactual Reasoning,fbd_2512.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2513_q1,Image Description,fbd_2513.png,How many force arrows are shown in this diagram?,1
fbd_2513_q2,Basic Relational Reasoning,fbd_2513.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2513_q3,Comparative Reasoning,fbd_2513.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2513_q4,Compound Reasoning,fbd_2513.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 117.43}"
fbd_2513_q5,Extrapolative/Counterfactual Reasoning,fbd_2513.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2514_q1,Image Description,fbd_2514.png,How many force arrows are shown in this diagram?,2
fbd_2514_q2,Basic Relational Reasoning,fbd_2514.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2514_q3,Comparative Reasoning,fbd_2514.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2514_q4,Compound Reasoning,fbd_2514.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45}"
fbd_2514_q5,Extrapolative/Counterfactual Reasoning,fbd_2514.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (246 degrees; 0=right, 90=up)"
fbd_2515_q1,Image Description,fbd_2515.png,How many force arrows are shown in this diagram?,4
fbd_2515_q2,Basic Relational Reasoning,fbd_2515.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2515_q3,Comparative Reasoning,fbd_2515.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2515_q4,Compound Reasoning,fbd_2515.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 118.0, 'magnitude': 133.303807}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 153.0, 'magnitude': 133.303807}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2515_q5,Extrapolative/Counterfactual Reasoning,fbd_2515.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2516_q1,Image Description,fbd_2516.png,How many force arrows are shown in this diagram?,2
fbd_2516_q2,Basic Relational Reasoning,fbd_2516.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2516_q3,Comparative Reasoning,fbd_2516.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2516_q4,Compound Reasoning,fbd_2516.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 209.35, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 209.3454}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 293.08356}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2516_q5,Extrapolative/Counterfactual Reasoning,fbd_2516.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2517_q1,Image Description,fbd_2517.png,How many force arrows are shown in this diagram?,4
fbd_2517_q2,Basic Relational Reasoning,fbd_2517.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2517_q3,Comparative Reasoning,fbd_2517.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2517_q4,Compound Reasoning,fbd_2517.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 91.63, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 91.6254}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 91.6254}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2517_q5,Extrapolative/Counterfactual Reasoning,fbd_2517.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2518_q1,Image Description,fbd_2518.png,How many force arrows are shown in this diagram?,4
fbd_2518_q2,Basic Relational Reasoning,fbd_2518.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2518_q3,Comparative Reasoning,fbd_2518.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2518_q4,Compound Reasoning,fbd_2518.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 196.56}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 275.184}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2518_q5,Extrapolative/Counterfactual Reasoning,fbd_2518.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2519_q1,Image Description,fbd_2519.png,How many force arrows are shown in this diagram?,2
fbd_2519_q2,Basic Relational Reasoning,fbd_2519.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2519_q3,Comparative Reasoning,fbd_2519.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2519_q4,Compound Reasoning,fbd_2519.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 199.24, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 199.2411}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 199.2411}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2519_q5,Extrapolative/Counterfactual Reasoning,fbd_2519.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2520_q1,Image Description,fbd_2520.png,How many force arrows are shown in this diagram?,3
fbd_2520_q2,Basic Relational Reasoning,fbd_2520.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2520_q3,Comparative Reasoning,fbd_2520.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2520_q4,Compound Reasoning,fbd_2520.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 68.0, 'magnitude': 133.433532}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 68.0, 'magnitude': 186.806945}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2520_q5,Extrapolative/Counterfactual Reasoning,fbd_2520.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_2521_q1,Image Description,fbd_2521.png,How many force arrows are shown in this diagram?,4
fbd_2521_q2,Basic Relational Reasoning,fbd_2521.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2521_q3,Comparative Reasoning,fbd_2521.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2521_q4,Compound Reasoning,fbd_2521.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.67}"
fbd_2521_q5,Extrapolative/Counterfactual Reasoning,fbd_2521.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2522_q1,Image Description,fbd_2522.png,How many force arrows are shown in this diagram?,2
fbd_2522_q2,Basic Relational Reasoning,fbd_2522.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2522_q3,Comparative Reasoning,fbd_2522.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2522_q4,Compound Reasoning,fbd_2522.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 112.13}"
fbd_2522_q5,Extrapolative/Counterfactual Reasoning,fbd_2522.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2523_q1,Image Description,fbd_2523.png,How many force arrows are shown in this diagram?,4
fbd_2523_q2,Basic Relational Reasoning,fbd_2523.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2523_q3,Comparative Reasoning,fbd_2523.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2523_q4,Compound Reasoning,fbd_2523.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 74.85}"
fbd_2523_q5,Extrapolative/Counterfactual Reasoning,fbd_2523.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2524_q1,Image Description,fbd_2524.png,How many force arrows are shown in this diagram?,4
fbd_2524_q2,Basic Relational Reasoning,fbd_2524.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2524_q3,Comparative Reasoning,fbd_2524.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2524_q4,Compound Reasoning,fbd_2524.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.72, 'net_force_N': 0.0}"
fbd_2524_q5,Extrapolative/Counterfactual Reasoning,fbd_2524.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2525_q1,Image Description,fbd_2525.png,How many force arrows are shown in this diagram?,2
fbd_2525_q2,Basic Relational Reasoning,fbd_2525.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2525_q3,Comparative Reasoning,fbd_2525.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2525_q4,Compound Reasoning,fbd_2525.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 105.26}"
fbd_2525_q5,Extrapolative/Counterfactual Reasoning,fbd_2525.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2526_q1,Image Description,fbd_2526.png,How many force arrows are shown in this diagram?,3
fbd_2526_q2,Basic Relational Reasoning,fbd_2526.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2526_q3,Comparative Reasoning,fbd_2526.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2526_q4,Compound Reasoning,fbd_2526.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_2526_q5,Extrapolative/Counterfactual Reasoning,fbd_2526.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_2527_q1,Image Description,fbd_2527.png,How many force arrows are shown in this diagram?,4
fbd_2527_q2,Basic Relational Reasoning,fbd_2527.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2527_q3,Comparative Reasoning,fbd_2527.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2527_q4,Compound Reasoning,fbd_2527.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 41.75, 'required_friction_coefficient': 0.42}"
fbd_2527_q5,Extrapolative/Counterfactual Reasoning,fbd_2527.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2528_q1,Image Description,fbd_2528.png,How many force arrows are shown in this diagram?,2
fbd_2528_q2,Basic Relational Reasoning,fbd_2528.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2528_q3,Comparative Reasoning,fbd_2528.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2528_q4,Compound Reasoning,fbd_2528.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 14.65, 'tension_magnitude': 87.28}"
fbd_2528_q5,Extrapolative/Counterfactual Reasoning,fbd_2528.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2529_q1,Image Description,fbd_2529.png,How many force arrows are shown in this diagram?,4
fbd_2529_q2,Basic Relational Reasoning,fbd_2529.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2529_q3,Comparative Reasoning,fbd_2529.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2529_q4,Compound Reasoning,fbd_2529.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 26.21, 'tension_magnitude': 127.06}"
fbd_2529_q5,Extrapolative/Counterfactual Reasoning,fbd_2529.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2530_q1,Image Description,fbd_2530.png,How many force arrows are shown in this diagram?,4
fbd_2530_q2,Basic Relational Reasoning,fbd_2530.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2530_q3,Comparative Reasoning,fbd_2530.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2530_q4,Compound Reasoning,fbd_2530.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 42.6}"
fbd_2530_q5,Extrapolative/Counterfactual Reasoning,fbd_2530.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (350.4 degrees; 0=right, 90=up)"
fbd_2531_q1,Image Description,fbd_2531.png,How many force arrows are shown in this diagram?,2
fbd_2531_q2,Basic Relational Reasoning,fbd_2531.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2531_q3,Comparative Reasoning,fbd_2531.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2531_q4,Compound Reasoning,fbd_2531.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 41.41, 'support_force_magnitude': 131.45}"
fbd_2531_q5,Extrapolative/Counterfactual Reasoning,fbd_2531.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2532_q1,Image Description,fbd_2532.png,How many force arrows are shown in this diagram?,3
fbd_2532_q2,Basic Relational Reasoning,fbd_2532.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2532_q3,Comparative Reasoning,fbd_2532.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2532_q4,Compound Reasoning,fbd_2532.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 21.39, 'required_friction_coefficient': 0.06}"
fbd_2532_q5,Extrapolative/Counterfactual Reasoning,fbd_2532.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (266.5 degrees; 0=right, 90=up)"
fbd_2533_q1,Image Description,fbd_2533.png,How many force arrows are shown in this diagram?,3
fbd_2533_q2,Basic Relational Reasoning,fbd_2533.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2533_q3,Comparative Reasoning,fbd_2533.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2533_q4,Compound Reasoning,fbd_2533.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.64}"
fbd_2533_q5,Extrapolative/Counterfactual Reasoning,fbd_2533.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2534_q1,Image Description,fbd_2534.png,How many force arrows are shown in this diagram?,1
fbd_2534_q2,Basic Relational Reasoning,fbd_2534.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2534_q3,Comparative Reasoning,fbd_2534.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2534_q4,Compound Reasoning,fbd_2534.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 142.74}"
fbd_2534_q5,Extrapolative/Counterfactual Reasoning,fbd_2534.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2535_q1,Image Description,fbd_2535.png,How many force arrows are shown in this diagram?,3
fbd_2535_q2,Basic Relational Reasoning,fbd_2535.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2535_q3,Comparative Reasoning,fbd_2535.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2535_q4,Compound Reasoning,fbd_2535.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 202.58}"
fbd_2535_q5,Extrapolative/Counterfactual Reasoning,fbd_2535.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2536_q1,Image Description,fbd_2536.png,How many force arrows are shown in this diagram?,3
fbd_2536_q2,Basic Relational Reasoning,fbd_2536.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2536_q3,Comparative Reasoning,fbd_2536.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2536_q4,Compound Reasoning,fbd_2536.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0}"
fbd_2536_q5,Extrapolative/Counterfactual Reasoning,fbd_2536.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2537_q1,Image Description,fbd_2537.png,How many force arrows are shown in this diagram?,1
fbd_2537_q2,Basic Relational Reasoning,fbd_2537.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2537_q3,Comparative Reasoning,fbd_2537.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2537_q4,Compound Reasoning,fbd_2537.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 65.92}"
fbd_2537_q5,Extrapolative/Counterfactual Reasoning,fbd_2537.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2538_q1,Image Description,fbd_2538.png,How many force arrows are shown in this diagram?,2
fbd_2538_q2,Basic Relational Reasoning,fbd_2538.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2538_q3,Comparative Reasoning,fbd_2538.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2538_q4,Compound Reasoning,fbd_2538.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36}"
fbd_2538_q5,Extrapolative/Counterfactual Reasoning,fbd_2538.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_2539_q1,Image Description,fbd_2539.png,How many force arrows are shown in this diagram?,4
fbd_2539_q2,Basic Relational Reasoning,fbd_2539.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2539_q3,Comparative Reasoning,fbd_2539.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2539_q4,Compound Reasoning,fbd_2539.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.52, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 121.0, 'magnitude': 176.332771}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 156.0, 'magnitude': 176.332771}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2539_q5,Extrapolative/Counterfactual Reasoning,fbd_2539.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2540_q1,Image Description,fbd_2540.png,How many force arrows are shown in this diagram?,2
fbd_2540_q2,Basic Relational Reasoning,fbd_2540.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2540_q3,Comparative Reasoning,fbd_2540.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2540_q4,Compound Reasoning,fbd_2540.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 188.06, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 188.0577}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 263.28078}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2540_q5,Extrapolative/Counterfactual Reasoning,fbd_2540.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2541_q1,Image Description,fbd_2541.png,How many force arrows are shown in this diagram?,4
fbd_2541_q2,Basic Relational Reasoning,fbd_2541.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2541_q3,Comparative Reasoning,fbd_2541.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2541_q4,Compound Reasoning,fbd_2541.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 194.43, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 194.4342}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 194.4342}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2541_q5,Extrapolative/Counterfactual Reasoning,fbd_2541.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2542_q1,Image Description,fbd_2542.png,How many force arrows are shown in this diagram?,4
fbd_2542_q2,Basic Relational Reasoning,fbd_2542.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2542_q3,Comparative Reasoning,fbd_2542.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2542_q4,Compound Reasoning,fbd_2542.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.72, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 296.28}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 414.792}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2542_q5,Extrapolative/Counterfactual Reasoning,fbd_2542.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2543_q1,Image Description,fbd_2543.png,How many force arrows are shown in this diagram?,2
fbd_2543_q2,Basic Relational Reasoning,fbd_2543.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2543_q3,Comparative Reasoning,fbd_2543.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2543_q4,Compound Reasoning,fbd_2543.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 60.63, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 60.6258}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 60.6258}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2543_q5,Extrapolative/Counterfactual Reasoning,fbd_2543.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2544_q1,Image Description,fbd_2544.png,How many force arrows are shown in this diagram?,3
fbd_2544_q2,Basic Relational Reasoning,fbd_2544.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2544_q3,Comparative Reasoning,fbd_2544.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2544_q4,Compound Reasoning,fbd_2544.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 63.0, 'magnitude': 129.450863}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 63.0, 'magnitude': 181.231208}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2544_q5,Extrapolative/Counterfactual Reasoning,fbd_2544.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_2545_q1,Image Description,fbd_2545.png,How many force arrows are shown in this diagram?,4
fbd_2545_q2,Basic Relational Reasoning,fbd_2545.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2545_q3,Comparative Reasoning,fbd_2545.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2545_q4,Compound Reasoning,fbd_2545.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.54}"
fbd_2545_q5,Extrapolative/Counterfactual Reasoning,fbd_2545.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2546_q1,Image Description,fbd_2546.png,How many force arrows are shown in this diagram?,2
fbd_2546_q2,Basic Relational Reasoning,fbd_2546.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2546_q3,Comparative Reasoning,fbd_2546.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2546_q4,Compound Reasoning,fbd_2546.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 110.95}"
fbd_2546_q5,Extrapolative/Counterfactual Reasoning,fbd_2546.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2547_q1,Image Description,fbd_2547.png,How many force arrows are shown in this diagram?,4
fbd_2547_q2,Basic Relational Reasoning,fbd_2547.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2547_q3,Comparative Reasoning,fbd_2547.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2547_q4,Compound Reasoning,fbd_2547.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 109.68}"
fbd_2547_q5,Extrapolative/Counterfactual Reasoning,fbd_2547.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2548_q1,Image Description,fbd_2548.png,How many force arrows are shown in this diagram?,4
fbd_2548_q2,Basic Relational Reasoning,fbd_2548.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2548_q3,Comparative Reasoning,fbd_2548.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2548_q4,Compound Reasoning,fbd_2548.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0}"
fbd_2548_q5,Extrapolative/Counterfactual Reasoning,fbd_2548.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2549_q1,Image Description,fbd_2549.png,How many force arrows are shown in this diagram?,2
fbd_2549_q2,Basic Relational Reasoning,fbd_2549.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2549_q3,Comparative Reasoning,fbd_2549.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2549_q4,Compound Reasoning,fbd_2549.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 152.74}"
fbd_2549_q5,Extrapolative/Counterfactual Reasoning,fbd_2549.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2550_q1,Image Description,fbd_2550.png,How many force arrows are shown in this diagram?,3
fbd_2550_q2,Basic Relational Reasoning,fbd_2550.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2550_q3,Comparative Reasoning,fbd_2550.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2550_q4,Compound Reasoning,fbd_2550.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45}"
fbd_2550_q5,Extrapolative/Counterfactual Reasoning,fbd_2550.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (246 degrees; 0=right, 90=up)"
fbd_2551_q1,Image Description,fbd_2551.png,How many force arrows are shown in this diagram?,4
fbd_2551_q2,Basic Relational Reasoning,fbd_2551.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2551_q3,Comparative Reasoning,fbd_2551.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2551_q4,Compound Reasoning,fbd_2551.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 72.8, 'required_friction_coefficient': 0.61}"
fbd_2551_q5,Extrapolative/Counterfactual Reasoning,fbd_2551.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2552_q1,Image Description,fbd_2552.png,How many force arrows are shown in this diagram?,2
fbd_2552_q2,Basic Relational Reasoning,fbd_2552.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2552_q3,Comparative Reasoning,fbd_2552.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2552_q4,Compound Reasoning,fbd_2552.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 16.03, 'tension_magnitude': 51.17}"
fbd_2552_q5,Extrapolative/Counterfactual Reasoning,fbd_2552.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2553_q1,Image Description,fbd_2553.png,How many force arrows are shown in this diagram?,4
fbd_2553_q2,Basic Relational Reasoning,fbd_2553.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2553_q3,Comparative Reasoning,fbd_2553.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2553_q4,Compound Reasoning,fbd_2553.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 19.98, 'tension_magnitude': 191.75}"
fbd_2553_q5,Extrapolative/Counterfactual Reasoning,fbd_2553.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2554_q1,Image Description,fbd_2554.png,How many force arrows are shown in this diagram?,4
fbd_2554_q2,Basic Relational Reasoning,fbd_2554.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2554_q3,Comparative Reasoning,fbd_2554.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2554_q4,Compound Reasoning,fbd_2554.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 62.28}"
fbd_2554_q5,Extrapolative/Counterfactual Reasoning,fbd_2554.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (341.5 degrees; 0=right, 90=up)"
fbd_2555_q1,Image Description,fbd_2555.png,How many force arrows are shown in this diagram?,2
fbd_2555_q2,Basic Relational Reasoning,fbd_2555.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2555_q3,Comparative Reasoning,fbd_2555.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2555_q4,Compound Reasoning,fbd_2555.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 13.15, 'support_force_magnitude': 120.67}"
fbd_2555_q5,Extrapolative/Counterfactual Reasoning,fbd_2555.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2556_q1,Image Description,fbd_2556.png,How many force arrows are shown in this diagram?,3
fbd_2556_q2,Basic Relational Reasoning,fbd_2556.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2556_q3,Comparative Reasoning,fbd_2556.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2556_q4,Compound Reasoning,fbd_2556.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 18.03, 'required_friction_coefficient': 0.05}"
fbd_2556_q5,Extrapolative/Counterfactual Reasoning,fbd_2556.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (267.4 degrees; 0=right, 90=up)"
fbd_2557_q1,Image Description,fbd_2557.png,How many force arrows are shown in this diagram?,3
fbd_2557_q2,Basic Relational Reasoning,fbd_2557.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2557_q3,Comparative Reasoning,fbd_2557.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2557_q4,Compound Reasoning,fbd_2557.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_2557_q5,Extrapolative/Counterfactual Reasoning,fbd_2557.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2558_q1,Image Description,fbd_2558.png,How many force arrows are shown in this diagram?,1
fbd_2558_q2,Basic Relational Reasoning,fbd_2558.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2558_q3,Comparative Reasoning,fbd_2558.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2558_q4,Compound Reasoning,fbd_2558.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 138.03}"
fbd_2558_q5,Extrapolative/Counterfactual Reasoning,fbd_2558.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2559_q1,Image Description,fbd_2559.png,How many force arrows are shown in this diagram?,3
fbd_2559_q2,Basic Relational Reasoning,fbd_2559.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2559_q3,Comparative Reasoning,fbd_2559.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2559_q4,Compound Reasoning,fbd_2559.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 212.98}"
fbd_2559_q5,Extrapolative/Counterfactual Reasoning,fbd_2559.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2560_q1,Image Description,fbd_2560.png,How many force arrows are shown in this diagram?,3
fbd_2560_q2,Basic Relational Reasoning,fbd_2560.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2560_q3,Comparative Reasoning,fbd_2560.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2560_q4,Compound Reasoning,fbd_2560.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 0.0}"
fbd_2560_q5,Extrapolative/Counterfactual Reasoning,fbd_2560.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2561_q1,Image Description,fbd_2561.png,How many force arrows are shown in this diagram?,1
fbd_2561_q2,Basic Relational Reasoning,fbd_2561.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2561_q3,Comparative Reasoning,fbd_2561.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2561_q4,Compound Reasoning,fbd_2561.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 201.2}"
fbd_2561_q5,Extrapolative/Counterfactual Reasoning,fbd_2561.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2562_q1,Image Description,fbd_2562.png,How many force arrows are shown in this diagram?,2
fbd_2562_q2,Basic Relational Reasoning,fbd_2562.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2562_q3,Comparative Reasoning,fbd_2562.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2562_q4,Compound Reasoning,fbd_2562.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_2562_q5,Extrapolative/Counterfactual Reasoning,fbd_2562.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_2563_q1,Image Description,fbd_2563.png,How many force arrows are shown in this diagram?,4
fbd_2563_q2,Basic Relational Reasoning,fbd_2563.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2563_q3,Comparative Reasoning,fbd_2563.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2563_q4,Compound Reasoning,fbd_2563.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.61, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 124.0, 'magnitude': 120.447636}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 159.0, 'magnitude': 120.447636}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2563_q5,Extrapolative/Counterfactual Reasoning,fbd_2563.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2564_q1,Image Description,fbd_2564.png,How many force arrows are shown in this diagram?,2
fbd_2564_q2,Basic Relational Reasoning,fbd_2564.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2564_q3,Comparative Reasoning,fbd_2564.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2564_q4,Compound Reasoning,fbd_2564.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 206.3, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 206.3043}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 288.82602}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2564_q5,Extrapolative/Counterfactual Reasoning,fbd_2564.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2565_q1,Image Description,fbd_2565.png,How many force arrows are shown in this diagram?,4
fbd_2565_q2,Basic Relational Reasoning,fbd_2565.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2565_q3,Comparative Reasoning,fbd_2565.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2565_q4,Compound Reasoning,fbd_2565.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 75.24, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 75.2427}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 75.2427}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2565_q5,Extrapolative/Counterfactual Reasoning,fbd_2565.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2566_q1,Image Description,fbd_2566.png,How many force arrows are shown in this diagram?,4
fbd_2566_q2,Basic Relational Reasoning,fbd_2566.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2566_q3,Comparative Reasoning,fbd_2566.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2566_q4,Compound Reasoning,fbd_2566.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.68, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 111.45}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 156.03}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2566_q5,Extrapolative/Counterfactual Reasoning,fbd_2566.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2567_q1,Image Description,fbd_2567.png,How many force arrows are shown in this diagram?,2
fbd_2567_q2,Basic Relational Reasoning,fbd_2567.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2567_q3,Comparative Reasoning,fbd_2567.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2567_q4,Compound Reasoning,fbd_2567.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 182.66, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 182.6622}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 182.6622}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2567_q5,Extrapolative/Counterfactual Reasoning,fbd_2567.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2568_q1,Image Description,fbd_2568.png,How many force arrows are shown in this diagram?,3
fbd_2568_q2,Basic Relational Reasoning,fbd_2568.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2568_q3,Comparative Reasoning,fbd_2568.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2568_q4,Compound Reasoning,fbd_2568.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 67.0, 'magnitude': 192.161648}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 67.0, 'magnitude': 269.026307}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2568_q5,Extrapolative/Counterfactual Reasoning,fbd_2568.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_2569_q1,Image Description,fbd_2569.png,How many force arrows are shown in this diagram?,4
fbd_2569_q2,Basic Relational Reasoning,fbd_2569.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2569_q3,Comparative Reasoning,fbd_2569.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2569_q4,Compound Reasoning,fbd_2569.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.65}"
fbd_2569_q5,Extrapolative/Counterfactual Reasoning,fbd_2569.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2570_q1,Image Description,fbd_2570.png,How many force arrows are shown in this diagram?,2
fbd_2570_q2,Basic Relational Reasoning,fbd_2570.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2570_q3,Comparative Reasoning,fbd_2570.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2570_q4,Compound Reasoning,fbd_2570.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 160.69}"
fbd_2570_q5,Extrapolative/Counterfactual Reasoning,fbd_2570.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2571_q1,Image Description,fbd_2571.png,How many force arrows are shown in this diagram?,4
fbd_2571_q2,Basic Relational Reasoning,fbd_2571.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2571_q3,Comparative Reasoning,fbd_2571.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2571_q4,Compound Reasoning,fbd_2571.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 83.39}"
fbd_2571_q5,Extrapolative/Counterfactual Reasoning,fbd_2571.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2572_q1,Image Description,fbd_2572.png,How many force arrows are shown in this diagram?,4
fbd_2572_q2,Basic Relational Reasoning,fbd_2572.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2572_q3,Comparative Reasoning,fbd_2572.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2572_q4,Compound Reasoning,fbd_2572.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0}"
fbd_2572_q5,Extrapolative/Counterfactual Reasoning,fbd_2572.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2573_q1,Image Description,fbd_2573.png,How many force arrows are shown in this diagram?,2
fbd_2573_q2,Basic Relational Reasoning,fbd_2573.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2573_q3,Comparative Reasoning,fbd_2573.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2573_q4,Compound Reasoning,fbd_2573.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 197.87}"
fbd_2573_q5,Extrapolative/Counterfactual Reasoning,fbd_2573.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2574_q1,Image Description,fbd_2574.png,How many force arrows are shown in this diagram?,3
fbd_2574_q2,Basic Relational Reasoning,fbd_2574.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2574_q3,Comparative Reasoning,fbd_2574.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2574_q4,Compound Reasoning,fbd_2574.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34}"
fbd_2574_q5,Extrapolative/Counterfactual Reasoning,fbd_2574.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_2575_q1,Image Description,fbd_2575.png,How many force arrows are shown in this diagram?,4
fbd_2575_q2,Basic Relational Reasoning,fbd_2575.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2575_q3,Comparative Reasoning,fbd_2575.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2575_q4,Compound Reasoning,fbd_2575.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 31.71, 'required_friction_coefficient': 0.47}"
fbd_2575_q5,Extrapolative/Counterfactual Reasoning,fbd_2575.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2576_q1,Image Description,fbd_2576.png,How many force arrows are shown in this diagram?,2
fbd_2576_q2,Basic Relational Reasoning,fbd_2576.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2576_q3,Comparative Reasoning,fbd_2576.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2576_q4,Compound Reasoning,fbd_2576.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 54.93, 'tension_magnitude': 153.14}"
fbd_2576_q5,Extrapolative/Counterfactual Reasoning,fbd_2576.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2577_q1,Image Description,fbd_2577.png,How many force arrows are shown in this diagram?,4
fbd_2577_q2,Basic Relational Reasoning,fbd_2577.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2577_q3,Comparative Reasoning,fbd_2577.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2577_q4,Compound Reasoning,fbd_2577.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 35.92, 'tension_magnitude': 191.12}"
fbd_2577_q5,Extrapolative/Counterfactual Reasoning,fbd_2577.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2578_q1,Image Description,fbd_2578.png,How many force arrows are shown in this diagram?,4
fbd_2578_q2,Basic Relational Reasoning,fbd_2578.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2578_q3,Comparative Reasoning,fbd_2578.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2578_q4,Compound Reasoning,fbd_2578.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 72.33}"
fbd_2578_q5,Extrapolative/Counterfactual Reasoning,fbd_2578.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (342.3 degrees; 0=right, 90=up)"
fbd_2579_q1,Image Description,fbd_2579.png,How many force arrows are shown in this diagram?,2
fbd_2579_q2,Basic Relational Reasoning,fbd_2579.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2579_q3,Comparative Reasoning,fbd_2579.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2579_q4,Compound Reasoning,fbd_2579.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 48.99, 'support_force_magnitude': 217.04}"
fbd_2579_q5,Extrapolative/Counterfactual Reasoning,fbd_2579.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2580_q1,Image Description,fbd_2580.png,How many force arrows are shown in this diagram?,3
fbd_2580_q2,Basic Relational Reasoning,fbd_2580.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2580_q3,Comparative Reasoning,fbd_2580.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2580_q4,Compound Reasoning,fbd_2580.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 18.03, 'required_friction_coefficient': 0.13}"
fbd_2580_q5,Extrapolative/Counterfactual Reasoning,fbd_2580.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (262.6 degrees; 0=right, 90=up)"
fbd_2581_q1,Image Description,fbd_2581.png,How many force arrows are shown in this diagram?,3
fbd_2581_q2,Basic Relational Reasoning,fbd_2581.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2581_q3,Comparative Reasoning,fbd_2581.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2581_q4,Compound Reasoning,fbd_2581.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_2581_q5,Extrapolative/Counterfactual Reasoning,fbd_2581.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2582_q1,Image Description,fbd_2582.png,How many force arrows are shown in this diagram?,1
fbd_2582_q2,Basic Relational Reasoning,fbd_2582.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2582_q3,Comparative Reasoning,fbd_2582.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2582_q4,Compound Reasoning,fbd_2582.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 188.55}"
fbd_2582_q5,Extrapolative/Counterfactual Reasoning,fbd_2582.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2583_q1,Image Description,fbd_2583.png,How many force arrows are shown in this diagram?,3
fbd_2583_q2,Basic Relational Reasoning,fbd_2583.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2583_q3,Comparative Reasoning,fbd_2583.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2583_q4,Compound Reasoning,fbd_2583.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 186.68}"
fbd_2583_q5,Extrapolative/Counterfactual Reasoning,fbd_2583.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2584_q1,Image Description,fbd_2584.png,How many force arrows are shown in this diagram?,3
fbd_2584_q2,Basic Relational Reasoning,fbd_2584.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2584_q3,Comparative Reasoning,fbd_2584.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2584_q4,Compound Reasoning,fbd_2584.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0}"
fbd_2584_q5,Extrapolative/Counterfactual Reasoning,fbd_2584.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2585_q1,Image Description,fbd_2585.png,How many force arrows are shown in this diagram?,1
fbd_2585_q2,Basic Relational Reasoning,fbd_2585.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2585_q3,Comparative Reasoning,fbd_2585.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2585_q4,Compound Reasoning,fbd_2585.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 75.44}"
fbd_2585_q5,Extrapolative/Counterfactual Reasoning,fbd_2585.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2586_q1,Image Description,fbd_2586.png,How many force arrows are shown in this diagram?,2
fbd_2586_q2,Basic Relational Reasoning,fbd_2586.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2586_q3,Comparative Reasoning,fbd_2586.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2586_q4,Compound Reasoning,fbd_2586.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.32}"
fbd_2586_q5,Extrapolative/Counterfactual Reasoning,fbd_2586.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (252 degrees; 0=right, 90=up)"
fbd_2587_q1,Image Description,fbd_2587.png,How many force arrows are shown in this diagram?,4
fbd_2587_q2,Basic Relational Reasoning,fbd_2587.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2587_q3,Comparative Reasoning,fbd_2587.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2587_q4,Compound Reasoning,fbd_2587.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.46, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 117.0, 'magnitude': 87.669963}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 152.0, 'magnitude': 87.669963}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2587_q5,Extrapolative/Counterfactual Reasoning,fbd_2587.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2588_q1,Image Description,fbd_2588.png,How many force arrows are shown in this diagram?,2
fbd_2588_q2,Basic Relational Reasoning,fbd_2588.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2588_q3,Comparative Reasoning,fbd_2588.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2588_q4,Compound Reasoning,fbd_2588.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 147.74, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 147.7386}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 206.83404}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2588_q5,Extrapolative/Counterfactual Reasoning,fbd_2588.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2589_q1,Image Description,fbd_2589.png,How many force arrows are shown in this diagram?,4
fbd_2589_q2,Basic Relational Reasoning,fbd_2589.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2589_q3,Comparative Reasoning,fbd_2589.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2589_q4,Compound Reasoning,fbd_2589.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 74.85, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 74.8503}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 74.8503}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2589_q5,Extrapolative/Counterfactual Reasoning,fbd_2589.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2590_q1,Image Description,fbd_2590.png,How many force arrows are shown in this diagram?,4
fbd_2590_q2,Basic Relational Reasoning,fbd_2590.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2590_q3,Comparative Reasoning,fbd_2590.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2590_q4,Compound Reasoning,fbd_2590.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 298.15}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 417.41}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2590_q5,Extrapolative/Counterfactual Reasoning,fbd_2590.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2591_q1,Image Description,fbd_2591.png,How many force arrows are shown in this diagram?,2
fbd_2591_q2,Basic Relational Reasoning,fbd_2591.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2591_q3,Comparative Reasoning,fbd_2591.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2591_q4,Compound Reasoning,fbd_2591.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 113.99, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 113.9922}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 113.9922}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2591_q5,Extrapolative/Counterfactual Reasoning,fbd_2591.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2592_q1,Image Description,fbd_2592.png,How many force arrows are shown in this diagram?,3
fbd_2592_q2,Basic Relational Reasoning,fbd_2592.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2592_q3,Comparative Reasoning,fbd_2592.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2592_q4,Compound Reasoning,fbd_2592.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 69.0, 'magnitude': 189.396208}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 69.0, 'magnitude': 265.154691}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2592_q5,Extrapolative/Counterfactual Reasoning,fbd_2592.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_2593_q1,Image Description,fbd_2593.png,How many force arrows are shown in this diagram?,4
fbd_2593_q2,Basic Relational Reasoning,fbd_2593.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2593_q3,Comparative Reasoning,fbd_2593.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2593_q4,Compound Reasoning,fbd_2593.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.41}"
fbd_2593_q5,Extrapolative/Counterfactual Reasoning,fbd_2593.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2594_q1,Image Description,fbd_2594.png,How many force arrows are shown in this diagram?,2
fbd_2594_q2,Basic Relational Reasoning,fbd_2594.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2594_q3,Comparative Reasoning,fbd_2594.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2594_q4,Compound Reasoning,fbd_2594.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 109.58}"
fbd_2594_q5,Extrapolative/Counterfactual Reasoning,fbd_2594.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2595_q1,Image Description,fbd_2595.png,How many force arrows are shown in this diagram?,4
fbd_2595_q2,Basic Relational Reasoning,fbd_2595.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2595_q3,Comparative Reasoning,fbd_2595.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2595_q4,Compound Reasoning,fbd_2595.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 167.16}"
fbd_2595_q5,Extrapolative/Counterfactual Reasoning,fbd_2595.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2596_q1,Image Description,fbd_2596.png,How many force arrows are shown in this diagram?,4
fbd_2596_q2,Basic Relational Reasoning,fbd_2596.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2596_q3,Comparative Reasoning,fbd_2596.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2596_q4,Compound Reasoning,fbd_2596.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.7, 'net_force_N': 0.0}"
fbd_2596_q5,Extrapolative/Counterfactual Reasoning,fbd_2596.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2597_q1,Image Description,fbd_2597.png,How many force arrows are shown in this diagram?,2
fbd_2597_q2,Basic Relational Reasoning,fbd_2597.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2597_q3,Comparative Reasoning,fbd_2597.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2597_q4,Compound Reasoning,fbd_2597.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 143.42}"
fbd_2597_q5,Extrapolative/Counterfactual Reasoning,fbd_2597.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2598_q1,Image Description,fbd_2598.png,How many force arrows are shown in this diagram?,3
fbd_2598_q2,Basic Relational Reasoning,fbd_2598.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2598_q3,Comparative Reasoning,fbd_2598.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2598_q4,Compound Reasoning,fbd_2598.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_2598_q5,Extrapolative/Counterfactual Reasoning,fbd_2598.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_2599_q1,Image Description,fbd_2599.png,How many force arrows are shown in this diagram?,4
fbd_2599_q2,Basic Relational Reasoning,fbd_2599.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2599_q3,Comparative Reasoning,fbd_2599.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2599_q4,Compound Reasoning,fbd_2599.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 41.33, 'required_friction_coefficient': 0.52}"
fbd_2599_q5,Extrapolative/Counterfactual Reasoning,fbd_2599.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2600_q1,Image Description,fbd_2600.png,How many force arrows are shown in this diagram?,2
fbd_2600_q2,Basic Relational Reasoning,fbd_2600.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2600_q3,Comparative Reasoning,fbd_2600.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2600_q4,Compound Reasoning,fbd_2600.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 16.79, 'tension_magnitude': 121.63}"
fbd_2600_q5,Extrapolative/Counterfactual Reasoning,fbd_2600.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2601_q1,Image Description,fbd_2601.png,How many force arrows are shown in this diagram?,4
fbd_2601_q2,Basic Relational Reasoning,fbd_2601.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2601_q3,Comparative Reasoning,fbd_2601.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2601_q4,Compound Reasoning,fbd_2601.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 13.7, 'tension_magnitude': 204.02}"
fbd_2601_q5,Extrapolative/Counterfactual Reasoning,fbd_2601.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2602_q1,Image Description,fbd_2602.png,How many force arrows are shown in this diagram?,4
fbd_2602_q2,Basic Relational Reasoning,fbd_2602.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2602_q3,Comparative Reasoning,fbd_2602.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2602_q4,Compound Reasoning,fbd_2602.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 31.3}"
fbd_2602_q5,Extrapolative/Counterfactual Reasoning,fbd_2602.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (346.8 degrees; 0=right, 90=up)"
fbd_2603_q1,Image Description,fbd_2603.png,How many force arrows are shown in this diagram?,2
fbd_2603_q2,Basic Relational Reasoning,fbd_2603.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2603_q3,Comparative Reasoning,fbd_2603.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2603_q4,Compound Reasoning,fbd_2603.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 43.47, 'support_force_magnitude': 237.32}"
fbd_2603_q5,Extrapolative/Counterfactual Reasoning,fbd_2603.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2604_q1,Image Description,fbd_2604.png,How many force arrows are shown in this diagram?,3
fbd_2604_q2,Basic Relational Reasoning,fbd_2604.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2604_q3,Comparative Reasoning,fbd_2604.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2604_q4,Compound Reasoning,fbd_2604.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 10.64, 'required_friction_coefficient': 0.12}"
fbd_2604_q5,Extrapolative/Counterfactual Reasoning,fbd_2604.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (263.1 degrees; 0=right, 90=up)"
fbd_2605_q1,Image Description,fbd_2605.png,How many force arrows are shown in this diagram?,3
fbd_2605_q2,Basic Relational Reasoning,fbd_2605.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2605_q3,Comparative Reasoning,fbd_2605.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2605_q4,Compound Reasoning,fbd_2605.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.41}"
fbd_2605_q5,Extrapolative/Counterfactual Reasoning,fbd_2605.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2606_q1,Image Description,fbd_2606.png,How many force arrows are shown in this diagram?,1
fbd_2606_q2,Basic Relational Reasoning,fbd_2606.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2606_q3,Comparative Reasoning,fbd_2606.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2606_q4,Compound Reasoning,fbd_2606.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 199.63}"
fbd_2606_q5,Extrapolative/Counterfactual Reasoning,fbd_2606.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2607_q1,Image Description,fbd_2607.png,How many force arrows are shown in this diagram?,3
fbd_2607_q2,Basic Relational Reasoning,fbd_2607.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2607_q3,Comparative Reasoning,fbd_2607.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2607_q4,Compound Reasoning,fbd_2607.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 89.57}"
fbd_2607_q5,Extrapolative/Counterfactual Reasoning,fbd_2607.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2608_q1,Image Description,fbd_2608.png,How many force arrows are shown in this diagram?,3
fbd_2608_q2,Basic Relational Reasoning,fbd_2608.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2608_q3,Comparative Reasoning,fbd_2608.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2608_q4,Compound Reasoning,fbd_2608.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 0.0}"
fbd_2608_q5,Extrapolative/Counterfactual Reasoning,fbd_2608.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2609_q1,Image Description,fbd_2609.png,How many force arrows are shown in this diagram?,1
fbd_2609_q2,Basic Relational Reasoning,fbd_2609.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2609_q3,Comparative Reasoning,fbd_2609.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2609_q4,Compound Reasoning,fbd_2609.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 65.63}"
fbd_2609_q5,Extrapolative/Counterfactual Reasoning,fbd_2609.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2610_q1,Image Description,fbd_2610.png,How many force arrows are shown in this diagram?,2
fbd_2610_q2,Basic Relational Reasoning,fbd_2610.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2610_q3,Comparative Reasoning,fbd_2610.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2610_q4,Compound Reasoning,fbd_2610.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_2610_q5,Extrapolative/Counterfactual Reasoning,fbd_2610.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_2611_q1,Image Description,fbd_2611.png,How many force arrows are shown in this diagram?,4
fbd_2611_q2,Basic Relational Reasoning,fbd_2611.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2611_q3,Comparative Reasoning,fbd_2611.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2611_q4,Compound Reasoning,fbd_2611.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.46, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 119.0, 'magnitude': 108.623045}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 154.0, 'magnitude': 108.623045}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2611_q5,Extrapolative/Counterfactual Reasoning,fbd_2611.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2612_q1,Image Description,fbd_2612.png,How many force arrows are shown in this diagram?,2
fbd_2612_q2,Basic Relational Reasoning,fbd_2612.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2612_q3,Comparative Reasoning,fbd_2612.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2612_q4,Compound Reasoning,fbd_2612.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 86.13, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 86.1318}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 120.58452}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2612_q5,Extrapolative/Counterfactual Reasoning,fbd_2612.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2613_q1,Image Description,fbd_2613.png,How many force arrows are shown in this diagram?,4
fbd_2613_q2,Basic Relational Reasoning,fbd_2613.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2613_q3,Comparative Reasoning,fbd_2613.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2613_q4,Compound Reasoning,fbd_2613.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 102.22, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 102.2202}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 102.2202}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2613_q5,Extrapolative/Counterfactual Reasoning,fbd_2613.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2614_q1,Image Description,fbd_2614.png,How many force arrows are shown in this diagram?,4
fbd_2614_q2,Basic Relational Reasoning,fbd_2614.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2614_q3,Comparative Reasoning,fbd_2614.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2614_q4,Compound Reasoning,fbd_2614.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.68, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 119.39}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 167.146}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2614_q5,Extrapolative/Counterfactual Reasoning,fbd_2614.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2615_q1,Image Description,fbd_2615.png,How many force arrows are shown in this diagram?,2
fbd_2615_q2,Basic Relational Reasoning,fbd_2615.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2615_q3,Comparative Reasoning,fbd_2615.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2615_q4,Compound Reasoning,fbd_2615.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 146.66, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 146.6595}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 146.6595}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2615_q5,Extrapolative/Counterfactual Reasoning,fbd_2615.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2616_q1,Image Description,fbd_2616.png,How many force arrows are shown in this diagram?,3
fbd_2616_q2,Basic Relational Reasoning,fbd_2616.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2616_q3,Comparative Reasoning,fbd_2616.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2616_q4,Compound Reasoning,fbd_2616.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 62.0, 'magnitude': 116.846547}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 62.0, 'magnitude': 163.585166}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2616_q5,Extrapolative/Counterfactual Reasoning,fbd_2616.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (242 degrees; 0=right, 90=up)"
fbd_2617_q1,Image Description,fbd_2617.png,How many force arrows are shown in this diagram?,4
fbd_2617_q2,Basic Relational Reasoning,fbd_2617.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2617_q3,Comparative Reasoning,fbd_2617.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2617_q4,Compound Reasoning,fbd_2617.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.48}"
fbd_2617_q5,Extrapolative/Counterfactual Reasoning,fbd_2617.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2618_q1,Image Description,fbd_2618.png,How many force arrows are shown in this diagram?,2
fbd_2618_q2,Basic Relational Reasoning,fbd_2618.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2618_q3,Comparative Reasoning,fbd_2618.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2618_q4,Compound Reasoning,fbd_2618.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 174.23}"
fbd_2618_q5,Extrapolative/Counterfactual Reasoning,fbd_2618.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2619_q1,Image Description,fbd_2619.png,How many force arrows are shown in this diagram?,4
fbd_2619_q2,Basic Relational Reasoning,fbd_2619.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2619_q3,Comparative Reasoning,fbd_2619.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2619_q4,Compound Reasoning,fbd_2619.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 211.31}"
fbd_2619_q5,Extrapolative/Counterfactual Reasoning,fbd_2619.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2620_q1,Image Description,fbd_2620.png,How many force arrows are shown in this diagram?,4
fbd_2620_q2,Basic Relational Reasoning,fbd_2620.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2620_q3,Comparative Reasoning,fbd_2620.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2620_q4,Compound Reasoning,fbd_2620.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0}"
fbd_2620_q5,Extrapolative/Counterfactual Reasoning,fbd_2620.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2621_q1,Image Description,fbd_2621.png,How many force arrows are shown in this diagram?,2
fbd_2621_q2,Basic Relational Reasoning,fbd_2621.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2621_q3,Comparative Reasoning,fbd_2621.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2621_q4,Compound Reasoning,fbd_2621.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 121.45}"
fbd_2621_q5,Extrapolative/Counterfactual Reasoning,fbd_2621.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2622_q1,Image Description,fbd_2622.png,How many force arrows are shown in this diagram?,3
fbd_2622_q2,Basic Relational Reasoning,fbd_2622.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2622_q3,Comparative Reasoning,fbd_2622.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2622_q4,Compound Reasoning,fbd_2622.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_2622_q5,Extrapolative/Counterfactual Reasoning,fbd_2622.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_2623_q1,Image Description,fbd_2623.png,How many force arrows are shown in this diagram?,4
fbd_2623_q2,Basic Relational Reasoning,fbd_2623.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2623_q3,Comparative Reasoning,fbd_2623.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2623_q4,Compound Reasoning,fbd_2623.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 58.62, 'required_friction_coefficient': 0.46}"
fbd_2623_q5,Extrapolative/Counterfactual Reasoning,fbd_2623.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2624_q1,Image Description,fbd_2624.png,How many force arrows are shown in this diagram?,2
fbd_2624_q2,Basic Relational Reasoning,fbd_2624.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2624_q3,Comparative Reasoning,fbd_2624.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2624_q4,Compound Reasoning,fbd_2624.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 21.18, 'tension_magnitude': 156.38}"
fbd_2624_q5,Extrapolative/Counterfactual Reasoning,fbd_2624.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2625_q1,Image Description,fbd_2625.png,How many force arrows are shown in this diagram?,4
fbd_2625_q2,Basic Relational Reasoning,fbd_2625.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2625_q3,Comparative Reasoning,fbd_2625.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2625_q4,Compound Reasoning,fbd_2625.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 17.43, 'tension_magnitude': 89.44}"
fbd_2625_q5,Extrapolative/Counterfactual Reasoning,fbd_2625.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2626_q1,Image Description,fbd_2626.png,How many force arrows are shown in this diagram?,4
fbd_2626_q2,Basic Relational Reasoning,fbd_2626.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2626_q3,Comparative Reasoning,fbd_2626.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2626_q4,Compound Reasoning,fbd_2626.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 107.18}"
fbd_2626_q5,Extrapolative/Counterfactual Reasoning,fbd_2626.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (339.1 degrees; 0=right, 90=up)"
fbd_2627_q1,Image Description,fbd_2627.png,How many force arrows are shown in this diagram?,2
fbd_2627_q2,Basic Relational Reasoning,fbd_2627.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2627_q3,Comparative Reasoning,fbd_2627.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2627_q4,Compound Reasoning,fbd_2627.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 24.21, 'support_force_magnitude': 135.2}"
fbd_2627_q5,Extrapolative/Counterfactual Reasoning,fbd_2627.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2628_q1,Image Description,fbd_2628.png,How many force arrows are shown in this diagram?,3
fbd_2628_q2,Basic Relational Reasoning,fbd_2628.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2628_q3,Comparative Reasoning,fbd_2628.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2628_q4,Compound Reasoning,fbd_2628.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 26.75, 'required_friction_coefficient': 0.21}"
fbd_2628_q5,Extrapolative/Counterfactual Reasoning,fbd_2628.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (258.3 degrees; 0=right, 90=up)"
fbd_2629_q1,Image Description,fbd_2629.png,How many force arrows are shown in this diagram?,3
fbd_2629_q2,Basic Relational Reasoning,fbd_2629.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2629_q3,Comparative Reasoning,fbd_2629.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2629_q4,Compound Reasoning,fbd_2629.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53}"
fbd_2629_q5,Extrapolative/Counterfactual Reasoning,fbd_2629.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2630_q1,Image Description,fbd_2630.png,How many force arrows are shown in this diagram?,1
fbd_2630_q2,Basic Relational Reasoning,fbd_2630.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2630_q3,Comparative Reasoning,fbd_2630.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2630_q4,Compound Reasoning,fbd_2630.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 178.15}"
fbd_2630_q5,Extrapolative/Counterfactual Reasoning,fbd_2630.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2631_q1,Image Description,fbd_2631.png,How many force arrows are shown in this diagram?,3
fbd_2631_q2,Basic Relational Reasoning,fbd_2631.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2631_q3,Comparative Reasoning,fbd_2631.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2631_q4,Compound Reasoning,fbd_2631.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 159.22}"
fbd_2631_q5,Extrapolative/Counterfactual Reasoning,fbd_2631.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2632_q1,Image Description,fbd_2632.png,How many force arrows are shown in this diagram?,3
fbd_2632_q2,Basic Relational Reasoning,fbd_2632.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2632_q3,Comparative Reasoning,fbd_2632.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2632_q4,Compound Reasoning,fbd_2632.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0}"
fbd_2632_q5,Extrapolative/Counterfactual Reasoning,fbd_2632.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2633_q1,Image Description,fbd_2633.png,How many force arrows are shown in this diagram?,1
fbd_2633_q2,Basic Relational Reasoning,fbd_2633.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2633_q3,Comparative Reasoning,fbd_2633.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2633_q4,Compound Reasoning,fbd_2633.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 138.62}"
fbd_2633_q5,Extrapolative/Counterfactual Reasoning,fbd_2633.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2634_q1,Image Description,fbd_2634.png,How many force arrows are shown in this diagram?,2
fbd_2634_q2,Basic Relational Reasoning,fbd_2634.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2634_q3,Comparative Reasoning,fbd_2634.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2634_q4,Compound Reasoning,fbd_2634.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_2634_q5,Extrapolative/Counterfactual Reasoning,fbd_2634.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_2635_q1,Image Description,fbd_2635.png,How many force arrows are shown in this diagram?,4
fbd_2635_q2,Basic Relational Reasoning,fbd_2635.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2635_q3,Comparative Reasoning,fbd_2635.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2635_q4,Compound Reasoning,fbd_2635.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.5, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 121.0, 'magnitude': 145.304258}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 156.0, 'magnitude': 145.304258}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2635_q5,Extrapolative/Counterfactual Reasoning,fbd_2635.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2636_q1,Image Description,fbd_2636.png,How many force arrows are shown in this diagram?,2
fbd_2636_q2,Basic Relational Reasoning,fbd_2636.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2636_q3,Comparative Reasoning,fbd_2636.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2636_q4,Compound Reasoning,fbd_2636.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 154.21, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 154.2132}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 215.89848}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2636_q5,Extrapolative/Counterfactual Reasoning,fbd_2636.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2637_q1,Image Description,fbd_2637.png,How many force arrows are shown in this diagram?,4
fbd_2637_q2,Basic Relational Reasoning,fbd_2637.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2637_q3,Comparative Reasoning,fbd_2637.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2637_q4,Compound Reasoning,fbd_2637.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 99.28, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 99.2772}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 99.2772}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2637_q5,Extrapolative/Counterfactual Reasoning,fbd_2637.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2638_q1,Image Description,fbd_2638.png,How many force arrows are shown in this diagram?,4
fbd_2638_q2,Basic Relational Reasoning,fbd_2638.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2638_q3,Comparative Reasoning,fbd_2638.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2638_q4,Compound Reasoning,fbd_2638.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 226.35}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 316.89}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2638_q5,Extrapolative/Counterfactual Reasoning,fbd_2638.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2639_q1,Image Description,fbd_2639.png,How many force arrows are shown in this diagram?,2
fbd_2639_q2,Basic Relational Reasoning,fbd_2639.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2639_q3,Comparative Reasoning,fbd_2639.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2639_q4,Compound Reasoning,fbd_2639.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 146.76, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 146.7576}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 146.7576}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2639_q5,Extrapolative/Counterfactual Reasoning,fbd_2639.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2640_q1,Image Description,fbd_2640.png,How many force arrows are shown in this diagram?,3
fbd_2640_q2,Basic Relational Reasoning,fbd_2640.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2640_q3,Comparative Reasoning,fbd_2640.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2640_q4,Compound Reasoning,fbd_2640.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 67.0, 'magnitude': 193.967678}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 67.0, 'magnitude': 271.554749}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2640_q5,Extrapolative/Counterfactual Reasoning,fbd_2640.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_2641_q1,Image Description,fbd_2641.png,How many force arrows are shown in this diagram?,4
fbd_2641_q2,Basic Relational Reasoning,fbd_2641.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2641_q3,Comparative Reasoning,fbd_2641.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2641_q4,Compound Reasoning,fbd_2641.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.63}"
fbd_2641_q5,Extrapolative/Counterfactual Reasoning,fbd_2641.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2642_q1,Image Description,fbd_2642.png,How many force arrows are shown in this diagram?,2
fbd_2642_q2,Basic Relational Reasoning,fbd_2642.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2642_q3,Comparative Reasoning,fbd_2642.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2642_q4,Compound Reasoning,fbd_2642.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 148.52}"
fbd_2642_q5,Extrapolative/Counterfactual Reasoning,fbd_2642.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2643_q1,Image Description,fbd_2643.png,How many force arrows are shown in this diagram?,4
fbd_2643_q2,Basic Relational Reasoning,fbd_2643.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2643_q3,Comparative Reasoning,fbd_2643.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2643_q4,Compound Reasoning,fbd_2643.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 208.56}"
fbd_2643_q5,Extrapolative/Counterfactual Reasoning,fbd_2643.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2644_q1,Image Description,fbd_2644.png,How many force arrows are shown in this diagram?,4
fbd_2644_q2,Basic Relational Reasoning,fbd_2644.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2644_q3,Comparative Reasoning,fbd_2644.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2644_q4,Compound Reasoning,fbd_2644.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 0.0}"
fbd_2644_q5,Extrapolative/Counterfactual Reasoning,fbd_2644.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2645_q1,Image Description,fbd_2645.png,How many force arrows are shown in this diagram?,2
fbd_2645_q2,Basic Relational Reasoning,fbd_2645.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2645_q3,Comparative Reasoning,fbd_2645.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2645_q4,Compound Reasoning,fbd_2645.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 202.18}"
fbd_2645_q5,Extrapolative/Counterfactual Reasoning,fbd_2645.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2646_q1,Image Description,fbd_2646.png,How many force arrows are shown in this diagram?,3
fbd_2646_q2,Basic Relational Reasoning,fbd_2646.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2646_q3,Comparative Reasoning,fbd_2646.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2646_q4,Compound Reasoning,fbd_2646.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_2646_q5,Extrapolative/Counterfactual Reasoning,fbd_2646.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_2647_q1,Image Description,fbd_2647.png,How many force arrows are shown in this diagram?,4
fbd_2647_q2,Basic Relational Reasoning,fbd_2647.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2647_q3,Comparative Reasoning,fbd_2647.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2647_q4,Compound Reasoning,fbd_2647.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 51.92, 'required_friction_coefficient': 0.65}"
fbd_2647_q5,Extrapolative/Counterfactual Reasoning,fbd_2647.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2648_q1,Image Description,fbd_2648.png,How many force arrows are shown in this diagram?,2
fbd_2648_q2,Basic Relational Reasoning,fbd_2648.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2648_q3,Comparative Reasoning,fbd_2648.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2648_q4,Compound Reasoning,fbd_2648.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 40.9, 'tension_magnitude': 158.73}"
fbd_2648_q5,Extrapolative/Counterfactual Reasoning,fbd_2648.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2649_q1,Image Description,fbd_2649.png,How many force arrows are shown in this diagram?,4
fbd_2649_q2,Basic Relational Reasoning,fbd_2649.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2649_q3,Comparative Reasoning,fbd_2649.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2649_q4,Compound Reasoning,fbd_2649.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 18.29, 'tension_magnitude': 97.95}"
fbd_2649_q5,Extrapolative/Counterfactual Reasoning,fbd_2649.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2650_q1,Image Description,fbd_2650.png,How many force arrows are shown in this diagram?,4
fbd_2650_q2,Basic Relational Reasoning,fbd_2650.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2650_q3,Comparative Reasoning,fbd_2650.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2650_q4,Compound Reasoning,fbd_2650.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.67, 'net_force_N': 101.98}"
fbd_2650_q5,Extrapolative/Counterfactual Reasoning,fbd_2650.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (337.7 degrees; 0=right, 90=up)"
fbd_2651_q1,Image Description,fbd_2651.png,How many force arrows are shown in this diagram?,2
fbd_2651_q2,Basic Relational Reasoning,fbd_2651.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2651_q3,Comparative Reasoning,fbd_2651.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2651_q4,Compound Reasoning,fbd_2651.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 40.74, 'support_force_magnitude': 192.7}"
fbd_2651_q5,Extrapolative/Counterfactual Reasoning,fbd_2651.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2652_q1,Image Description,fbd_2652.png,How many force arrows are shown in this diagram?,3
fbd_2652_q2,Basic Relational Reasoning,fbd_2652.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2652_q3,Comparative Reasoning,fbd_2652.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2652_q4,Compound Reasoning,fbd_2652.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 15.09, 'required_friction_coefficient': 0.19}"
fbd_2652_q5,Extrapolative/Counterfactual Reasoning,fbd_2652.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (259.3 degrees; 0=right, 90=up)"
fbd_2653_q1,Image Description,fbd_2653.png,How many force arrows are shown in this diagram?,3
fbd_2653_q2,Basic Relational Reasoning,fbd_2653.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2653_q3,Comparative Reasoning,fbd_2653.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2653_q4,Compound Reasoning,fbd_2653.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.41}"
fbd_2653_q5,Extrapolative/Counterfactual Reasoning,fbd_2653.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2654_q1,Image Description,fbd_2654.png,How many force arrows are shown in this diagram?,1
fbd_2654_q2,Basic Relational Reasoning,fbd_2654.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2654_q3,Comparative Reasoning,fbd_2654.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2654_q4,Compound Reasoning,fbd_2654.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 126.84}"
fbd_2654_q5,Extrapolative/Counterfactual Reasoning,fbd_2654.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2655_q1,Image Description,fbd_2655.png,How many force arrows are shown in this diagram?,3
fbd_2655_q2,Basic Relational Reasoning,fbd_2655.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2655_q3,Comparative Reasoning,fbd_2655.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2655_q4,Compound Reasoning,fbd_2655.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 78.77}"
fbd_2655_q5,Extrapolative/Counterfactual Reasoning,fbd_2655.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2656_q1,Image Description,fbd_2656.png,How many force arrows are shown in this diagram?,3
fbd_2656_q2,Basic Relational Reasoning,fbd_2656.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2656_q3,Comparative Reasoning,fbd_2656.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2656_q4,Compound Reasoning,fbd_2656.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.65, 'net_force_N': 0.0}"
fbd_2656_q5,Extrapolative/Counterfactual Reasoning,fbd_2656.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2657_q1,Image Description,fbd_2657.png,How many force arrows are shown in this diagram?,1
fbd_2657_q2,Basic Relational Reasoning,fbd_2657.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2657_q3,Comparative Reasoning,fbd_2657.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2657_q4,Compound Reasoning,fbd_2657.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 67.1}"
fbd_2657_q5,Extrapolative/Counterfactual Reasoning,fbd_2657.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2658_q1,Image Description,fbd_2658.png,How many force arrows are shown in this diagram?,2
fbd_2658_q2,Basic Relational Reasoning,fbd_2658.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2658_q3,Comparative Reasoning,fbd_2658.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2658_q4,Compound Reasoning,fbd_2658.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45}"
fbd_2658_q5,Extrapolative/Counterfactual Reasoning,fbd_2658.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (246 degrees; 0=right, 90=up)"
fbd_2659_q1,Image Description,fbd_2659.png,How many force arrows are shown in this diagram?,4
fbd_2659_q2,Basic Relational Reasoning,fbd_2659.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2659_q3,Comparative Reasoning,fbd_2659.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2659_q4,Compound Reasoning,fbd_2659.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 116.0, 'magnitude': 124.145748}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 151.0, 'magnitude': 124.145748}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2659_q5,Extrapolative/Counterfactual Reasoning,fbd_2659.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2660_q1,Image Description,fbd_2660.png,How many force arrows are shown in this diagram?,2
fbd_2660_q2,Basic Relational Reasoning,fbd_2660.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2660_q3,Comparative Reasoning,fbd_2660.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2660_q4,Compound Reasoning,fbd_2660.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 75.34, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 75.3408}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 105.47712}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2660_q5,Extrapolative/Counterfactual Reasoning,fbd_2660.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2661_q1,Image Description,fbd_2661.png,How many force arrows are shown in this diagram?,4
fbd_2661_q2,Basic Relational Reasoning,fbd_2661.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2661_q3,Comparative Reasoning,fbd_2661.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2661_q4,Compound Reasoning,fbd_2661.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 199.04, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 199.0449}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 199.0449}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2661_q5,Extrapolative/Counterfactual Reasoning,fbd_2661.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2662_q1,Image Description,fbd_2662.png,How many force arrows are shown in this diagram?,4
fbd_2662_q2,Basic Relational Reasoning,fbd_2662.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2662_q3,Comparative Reasoning,fbd_2662.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2662_q4,Compound Reasoning,fbd_2662.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 232.13}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 324.982}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2662_q5,Extrapolative/Counterfactual Reasoning,fbd_2662.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2663_q1,Image Description,fbd_2663.png,How many force arrows are shown in this diagram?,2
fbd_2663_q2,Basic Relational Reasoning,fbd_2663.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2663_q3,Comparative Reasoning,fbd_2663.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2663_q4,Compound Reasoning,fbd_2663.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 151.86, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 151.8588}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 151.8588}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2663_q5,Extrapolative/Counterfactual Reasoning,fbd_2663.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2664_q1,Image Description,fbd_2664.png,How many force arrows are shown in this diagram?,3
fbd_2664_q2,Basic Relational Reasoning,fbd_2664.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2664_q3,Comparative Reasoning,fbd_2664.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2664_q4,Compound Reasoning,fbd_2664.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 68.0, 'magnitude': 191.827757}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 68.0, 'magnitude': 268.55886}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2664_q5,Extrapolative/Counterfactual Reasoning,fbd_2664.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_2665_q1,Image Description,fbd_2665.png,How many force arrows are shown in this diagram?,4
fbd_2665_q2,Basic Relational Reasoning,fbd_2665.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2665_q3,Comparative Reasoning,fbd_2665.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2665_q4,Compound Reasoning,fbd_2665.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.61}"
fbd_2665_q5,Extrapolative/Counterfactual Reasoning,fbd_2665.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2666_q1,Image Description,fbd_2666.png,How many force arrows are shown in this diagram?,2
fbd_2666_q2,Basic Relational Reasoning,fbd_2666.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2666_q3,Comparative Reasoning,fbd_2666.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2666_q4,Compound Reasoning,fbd_2666.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 186.39}"
fbd_2666_q5,Extrapolative/Counterfactual Reasoning,fbd_2666.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2667_q1,Image Description,fbd_2667.png,How many force arrows are shown in this diagram?,4
fbd_2667_q2,Basic Relational Reasoning,fbd_2667.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2667_q3,Comparative Reasoning,fbd_2667.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2667_q4,Compound Reasoning,fbd_2667.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 76.71}"
fbd_2667_q5,Extrapolative/Counterfactual Reasoning,fbd_2667.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2668_q1,Image Description,fbd_2668.png,How many force arrows are shown in this diagram?,4
fbd_2668_q2,Basic Relational Reasoning,fbd_2668.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2668_q3,Comparative Reasoning,fbd_2668.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2668_q4,Compound Reasoning,fbd_2668.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 0.0}"
fbd_2668_q5,Extrapolative/Counterfactual Reasoning,fbd_2668.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2669_q1,Image Description,fbd_2669.png,How many force arrows are shown in this diagram?,2
fbd_2669_q2,Basic Relational Reasoning,fbd_2669.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2669_q3,Comparative Reasoning,fbd_2669.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2669_q4,Compound Reasoning,fbd_2669.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 102.71}"
fbd_2669_q5,Extrapolative/Counterfactual Reasoning,fbd_2669.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2670_q1,Image Description,fbd_2670.png,How many force arrows are shown in this diagram?,3
fbd_2670_q2,Basic Relational Reasoning,fbd_2670.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2670_q3,Comparative Reasoning,fbd_2670.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2670_q4,Compound Reasoning,fbd_2670.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_2670_q5,Extrapolative/Counterfactual Reasoning,fbd_2670.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (241 degrees; 0=right, 90=up)"
fbd_2671_q1,Image Description,fbd_2671.png,How many force arrows are shown in this diagram?,4
fbd_2671_q2,Basic Relational Reasoning,fbd_2671.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2671_q3,Comparative Reasoning,fbd_2671.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2671_q4,Compound Reasoning,fbd_2671.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 22.6, 'required_friction_coefficient': 0.5}"
fbd_2671_q5,Extrapolative/Counterfactual Reasoning,fbd_2671.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2672_q1,Image Description,fbd_2672.png,How many force arrows are shown in this diagram?,2
fbd_2672_q2,Basic Relational Reasoning,fbd_2672.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2672_q3,Comparative Reasoning,fbd_2672.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2672_q4,Compound Reasoning,fbd_2672.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 40.81, 'tension_magnitude': 169.91}"
fbd_2672_q5,Extrapolative/Counterfactual Reasoning,fbd_2672.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2673_q1,Image Description,fbd_2673.png,How many force arrows are shown in this diagram?,4
fbd_2673_q2,Basic Relational Reasoning,fbd_2673.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2673_q3,Comparative Reasoning,fbd_2673.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2673_q4,Compound Reasoning,fbd_2673.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 24.86, 'tension_magnitude': 116.97}"
fbd_2673_q5,Extrapolative/Counterfactual Reasoning,fbd_2673.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2674_q1,Image Description,fbd_2674.png,How many force arrows are shown in this diagram?,4
fbd_2674_q2,Basic Relational Reasoning,fbd_2674.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2674_q3,Comparative Reasoning,fbd_2674.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2674_q4,Compound Reasoning,fbd_2674.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 74.47}"
fbd_2674_q5,Extrapolative/Counterfactual Reasoning,fbd_2674.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (346.3 degrees; 0=right, 90=up)"
fbd_2675_q1,Image Description,fbd_2675.png,How many force arrows are shown in this diagram?,2
fbd_2675_q2,Basic Relational Reasoning,fbd_2675.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2675_q3,Comparative Reasoning,fbd_2675.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2675_q4,Compound Reasoning,fbd_2675.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 28.94, 'support_force_magnitude': 179.13}"
fbd_2675_q5,Extrapolative/Counterfactual Reasoning,fbd_2675.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2676_q1,Image Description,fbd_2676.png,How many force arrows are shown in this diagram?,3
fbd_2676_q2,Basic Relational Reasoning,fbd_2676.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2676_q3,Comparative Reasoning,fbd_2676.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2676_q4,Compound Reasoning,fbd_2676.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 26.65, 'required_friction_coefficient': 0.14}"
fbd_2676_q5,Extrapolative/Counterfactual Reasoning,fbd_2676.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (262.2 degrees; 0=right, 90=up)"
fbd_2677_q1,Image Description,fbd_2677.png,How many force arrows are shown in this diagram?,3
fbd_2677_q2,Basic Relational Reasoning,fbd_2677.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2677_q3,Comparative Reasoning,fbd_2677.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2677_q4,Compound Reasoning,fbd_2677.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45}"
fbd_2677_q5,Extrapolative/Counterfactual Reasoning,fbd_2677.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2678_q1,Image Description,fbd_2678.png,How many force arrows are shown in this diagram?,1
fbd_2678_q2,Basic Relational Reasoning,fbd_2678.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2678_q3,Comparative Reasoning,fbd_2678.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2678_q4,Compound Reasoning,fbd_2678.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 77.3}"
fbd_2678_q5,Extrapolative/Counterfactual Reasoning,fbd_2678.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2679_q1,Image Description,fbd_2679.png,How many force arrows are shown in this diagram?,3
fbd_2679_q2,Basic Relational Reasoning,fbd_2679.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2679_q3,Comparative Reasoning,fbd_2679.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2679_q4,Compound Reasoning,fbd_2679.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 187.76}"
fbd_2679_q5,Extrapolative/Counterfactual Reasoning,fbd_2679.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2680_q1,Image Description,fbd_2680.png,How many force arrows are shown in this diagram?,3
fbd_2680_q2,Basic Relational Reasoning,fbd_2680.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2680_q3,Comparative Reasoning,fbd_2680.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2680_q4,Compound Reasoning,fbd_2680.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 0.0}"
fbd_2680_q5,Extrapolative/Counterfactual Reasoning,fbd_2680.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2681_q1,Image Description,fbd_2681.png,How many force arrows are shown in this diagram?,1
fbd_2681_q2,Basic Relational Reasoning,fbd_2681.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2681_q3,Comparative Reasoning,fbd_2681.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2681_q4,Compound Reasoning,fbd_2681.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 68.38}"
fbd_2681_q5,Extrapolative/Counterfactual Reasoning,fbd_2681.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2682_q1,Image Description,fbd_2682.png,How many force arrows are shown in this diagram?,2
fbd_2682_q2,Basic Relational Reasoning,fbd_2682.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2682_q3,Comparative Reasoning,fbd_2682.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2682_q4,Compound Reasoning,fbd_2682.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_2682_q5,Extrapolative/Counterfactual Reasoning,fbd_2682.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_2683_q1,Image Description,fbd_2683.png,How many force arrows are shown in this diagram?,4
fbd_2683_q2,Basic Relational Reasoning,fbd_2683.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2683_q3,Comparative Reasoning,fbd_2683.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2683_q4,Compound Reasoning,fbd_2683.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.63, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 126.0, 'magnitude': 142.380033}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 161.0, 'magnitude': 142.380033}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2683_q5,Extrapolative/Counterfactual Reasoning,fbd_2683.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2684_q1,Image Description,fbd_2684.png,How many force arrows are shown in this diagram?,2
fbd_2684_q2,Basic Relational Reasoning,fbd_2684.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2684_q3,Comparative Reasoning,fbd_2684.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2684_q4,Compound Reasoning,fbd_2684.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 110.17, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 110.1663}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 154.23282}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2684_q5,Extrapolative/Counterfactual Reasoning,fbd_2684.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2685_q1,Image Description,fbd_2685.png,How many force arrows are shown in this diagram?,4
fbd_2685_q2,Basic Relational Reasoning,fbd_2685.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2685_q3,Comparative Reasoning,fbd_2685.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2685_q4,Compound Reasoning,fbd_2685.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 203.46, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 203.4594}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 203.4594}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2685_q5,Extrapolative/Counterfactual Reasoning,fbd_2685.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2686_q1,Image Description,fbd_2686.png,How many force arrows are shown in this diagram?,4
fbd_2686_q2,Basic Relational Reasoning,fbd_2686.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2686_q3,Comparative Reasoning,fbd_2686.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2686_q4,Compound Reasoning,fbd_2686.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 153.85}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 215.39}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2686_q5,Extrapolative/Counterfactual Reasoning,fbd_2686.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2687_q1,Image Description,fbd_2687.png,How many force arrows are shown in this diagram?,2
fbd_2687_q2,Basic Relational Reasoning,fbd_2687.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2687_q3,Comparative Reasoning,fbd_2687.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2687_q4,Compound Reasoning,fbd_2687.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 130.87, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 130.8654}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 130.8654}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2687_q5,Extrapolative/Counterfactual Reasoning,fbd_2687.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2688_q1,Image Description,fbd_2688.png,How many force arrows are shown in this diagram?,3
fbd_2688_q2,Basic Relational Reasoning,fbd_2688.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2688_q3,Comparative Reasoning,fbd_2688.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2688_q4,Compound Reasoning,fbd_2688.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 71.0, 'magnitude': 148.779617}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 71.0, 'magnitude': 208.291464}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2688_q5,Extrapolative/Counterfactual Reasoning,fbd_2688.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_2689_q1,Image Description,fbd_2689.png,How many force arrows are shown in this diagram?,4
fbd_2689_q2,Basic Relational Reasoning,fbd_2689.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2689_q3,Comparative Reasoning,fbd_2689.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2689_q4,Compound Reasoning,fbd_2689.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.41}"
fbd_2689_q5,Extrapolative/Counterfactual Reasoning,fbd_2689.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2690_q1,Image Description,fbd_2690.png,How many force arrows are shown in this diagram?,2
fbd_2690_q2,Basic Relational Reasoning,fbd_2690.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2690_q3,Comparative Reasoning,fbd_2690.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2690_q4,Compound Reasoning,fbd_2690.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 111.93}"
fbd_2690_q5,Extrapolative/Counterfactual Reasoning,fbd_2690.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2691_q1,Image Description,fbd_2691.png,How many force arrows are shown in this diagram?,4
fbd_2691_q2,Basic Relational Reasoning,fbd_2691.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2691_q3,Comparative Reasoning,fbd_2691.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2691_q4,Compound Reasoning,fbd_2691.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 114.38}"
fbd_2691_q5,Extrapolative/Counterfactual Reasoning,fbd_2691.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2692_q1,Image Description,fbd_2692.png,How many force arrows are shown in this diagram?,4
fbd_2692_q2,Basic Relational Reasoning,fbd_2692.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2692_q3,Comparative Reasoning,fbd_2692.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2692_q4,Compound Reasoning,fbd_2692.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0}"
fbd_2692_q5,Extrapolative/Counterfactual Reasoning,fbd_2692.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2693_q1,Image Description,fbd_2693.png,How many force arrows are shown in this diagram?,2
fbd_2693_q2,Basic Relational Reasoning,fbd_2693.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2693_q3,Comparative Reasoning,fbd_2693.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2693_q4,Compound Reasoning,fbd_2693.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 171.58}"
fbd_2693_q5,Extrapolative/Counterfactual Reasoning,fbd_2693.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2694_q1,Image Description,fbd_2694.png,How many force arrows are shown in this diagram?,3
fbd_2694_q2,Basic Relational Reasoning,fbd_2694.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2694_q3,Comparative Reasoning,fbd_2694.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2694_q4,Compound Reasoning,fbd_2694.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36}"
fbd_2694_q5,Extrapolative/Counterfactual Reasoning,fbd_2694.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_2695_q1,Image Description,fbd_2695.png,How many force arrows are shown in this diagram?,4
fbd_2695_q2,Basic Relational Reasoning,fbd_2695.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2695_q3,Comparative Reasoning,fbd_2695.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2695_q4,Compound Reasoning,fbd_2695.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 46.25, 'required_friction_coefficient': 0.54}"
fbd_2695_q5,Extrapolative/Counterfactual Reasoning,fbd_2695.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2696_q1,Image Description,fbd_2696.png,How many force arrows are shown in this diagram?,2
fbd_2696_q2,Basic Relational Reasoning,fbd_2696.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2696_q3,Comparative Reasoning,fbd_2696.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2696_q4,Compound Reasoning,fbd_2696.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 54.41, 'tension_magnitude': 148.55}"
fbd_2696_q5,Extrapolative/Counterfactual Reasoning,fbd_2696.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2697_q1,Image Description,fbd_2697.png,How many force arrows are shown in this diagram?,4
fbd_2697_q2,Basic Relational Reasoning,fbd_2697.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2697_q3,Comparative Reasoning,fbd_2697.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2697_q4,Compound Reasoning,fbd_2697.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 22.76, 'tension_magnitude': 198.75}"
fbd_2697_q5,Extrapolative/Counterfactual Reasoning,fbd_2697.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2698_q1,Image Description,fbd_2698.png,How many force arrows are shown in this diagram?,4
fbd_2698_q2,Basic Relational Reasoning,fbd_2698.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2698_q3,Comparative Reasoning,fbd_2698.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2698_q4,Compound Reasoning,fbd_2698.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 34.19}"
fbd_2698_q5,Extrapolative/Counterfactual Reasoning,fbd_2698.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (347.6 degrees; 0=right, 90=up)"
fbd_2699_q1,Image Description,fbd_2699.png,How many force arrows are shown in this diagram?,2
fbd_2699_q2,Basic Relational Reasoning,fbd_2699.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2699_q3,Comparative Reasoning,fbd_2699.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2699_q4,Compound Reasoning,fbd_2699.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 41.56, 'support_force_magnitude': 100.0}"
fbd_2699_q5,Extrapolative/Counterfactual Reasoning,fbd_2699.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2700_q1,Image Description,fbd_2700.png,How many force arrows are shown in this diagram?,3
fbd_2700_q2,Basic Relational Reasoning,fbd_2700.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2700_q3,Comparative Reasoning,fbd_2700.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2700_q4,Compound Reasoning,fbd_2700.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 33.55, 'required_friction_coefficient': 0.3}"
fbd_2700_q5,Extrapolative/Counterfactual Reasoning,fbd_2700.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253.2 degrees; 0=right, 90=up)"
fbd_2701_q1,Image Description,fbd_2701.png,How many force arrows are shown in this diagram?,3
fbd_2701_q2,Basic Relational Reasoning,fbd_2701.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2701_q3,Comparative Reasoning,fbd_2701.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2701_q4,Compound Reasoning,fbd_2701.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.63}"
fbd_2701_q5,Extrapolative/Counterfactual Reasoning,fbd_2701.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2702_q1,Image Description,fbd_2702.png,How many force arrows are shown in this diagram?,1
fbd_2702_q2,Basic Relational Reasoning,fbd_2702.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2702_q3,Comparative Reasoning,fbd_2702.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2702_q4,Compound Reasoning,fbd_2702.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 85.64}"
fbd_2702_q5,Extrapolative/Counterfactual Reasoning,fbd_2702.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2703_q1,Image Description,fbd_2703.png,How many force arrows are shown in this diagram?,3
fbd_2703_q2,Basic Relational Reasoning,fbd_2703.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2703_q3,Comparative Reasoning,fbd_2703.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2703_q4,Compound Reasoning,fbd_2703.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 123.8}"
fbd_2703_q5,Extrapolative/Counterfactual Reasoning,fbd_2703.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2704_q1,Image Description,fbd_2704.png,How many force arrows are shown in this diagram?,3
fbd_2704_q2,Basic Relational Reasoning,fbd_2704.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2704_q3,Comparative Reasoning,fbd_2704.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2704_q4,Compound Reasoning,fbd_2704.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 0.0}"
fbd_2704_q5,Extrapolative/Counterfactual Reasoning,fbd_2704.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2705_q1,Image Description,fbd_2705.png,How many force arrows are shown in this diagram?,1
fbd_2705_q2,Basic Relational Reasoning,fbd_2705.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2705_q3,Comparative Reasoning,fbd_2705.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2705_q4,Compound Reasoning,fbd_2705.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 86.43}"
fbd_2705_q5,Extrapolative/Counterfactual Reasoning,fbd_2705.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2706_q1,Image Description,fbd_2706.png,How many force arrows are shown in this diagram?,2
fbd_2706_q2,Basic Relational Reasoning,fbd_2706.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2706_q3,Comparative Reasoning,fbd_2706.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2706_q4,Compound Reasoning,fbd_2706.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34}"
fbd_2706_q5,Extrapolative/Counterfactual Reasoning,fbd_2706.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_2707_q1,Image Description,fbd_2707.png,How many force arrows are shown in this diagram?,4
fbd_2707_q2,Basic Relational Reasoning,fbd_2707.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2707_q3,Comparative Reasoning,fbd_2707.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2707_q4,Compound Reasoning,fbd_2707.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.7, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 128.0, 'magnitude': 90.290903}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 163.0, 'magnitude': 90.290903}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2707_q5,Extrapolative/Counterfactual Reasoning,fbd_2707.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2708_q1,Image Description,fbd_2708.png,How many force arrows are shown in this diagram?,2
fbd_2708_q2,Basic Relational Reasoning,fbd_2708.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2708_q3,Comparative Reasoning,fbd_2708.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2708_q4,Compound Reasoning,fbd_2708.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 201.69, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 201.6936}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 282.37104}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2708_q5,Extrapolative/Counterfactual Reasoning,fbd_2708.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2709_q1,Image Description,fbd_2709.png,How many force arrows are shown in this diagram?,4
fbd_2709_q2,Basic Relational Reasoning,fbd_2709.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2709_q3,Comparative Reasoning,fbd_2709.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2709_q4,Compound Reasoning,fbd_2709.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 160.39, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 160.3935}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 160.3935}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2709_q5,Extrapolative/Counterfactual Reasoning,fbd_2709.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2710_q1,Image Description,fbd_2710.png,How many force arrows are shown in this diagram?,4
fbd_2710_q2,Basic Relational Reasoning,fbd_2710.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2710_q3,Comparative Reasoning,fbd_2710.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2710_q4,Compound Reasoning,fbd_2710.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 254.03}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 355.642}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2710_q5,Extrapolative/Counterfactual Reasoning,fbd_2710.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2711_q1,Image Description,fbd_2711.png,How many force arrows are shown in this diagram?,2
fbd_2711_q2,Basic Relational Reasoning,fbd_2711.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2711_q3,Comparative Reasoning,fbd_2711.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2711_q4,Compound Reasoning,fbd_2711.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 99.38, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 99.3753}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 99.3753}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2711_q5,Extrapolative/Counterfactual Reasoning,fbd_2711.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2712_q1,Image Description,fbd_2712.png,How many force arrows are shown in this diagram?,3
fbd_2712_q2,Basic Relational Reasoning,fbd_2712.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2712_q3,Comparative Reasoning,fbd_2712.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2712_q4,Compound Reasoning,fbd_2712.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 60.0, 'magnitude': 171.443412}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 60.0, 'magnitude': 240.020777}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2712_q5,Extrapolative/Counterfactual Reasoning,fbd_2712.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_2713_q1,Image Description,fbd_2713.png,How many force arrows are shown in this diagram?,4
fbd_2713_q2,Basic Relational Reasoning,fbd_2713.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2713_q3,Comparative Reasoning,fbd_2713.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2713_q4,Compound Reasoning,fbd_2713.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.46}"
fbd_2713_q5,Extrapolative/Counterfactual Reasoning,fbd_2713.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2714_q1,Image Description,fbd_2714.png,How many force arrows are shown in this diagram?,2
fbd_2714_q2,Basic Relational Reasoning,fbd_2714.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2714_q3,Comparative Reasoning,fbd_2714.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2714_q4,Compound Reasoning,fbd_2714.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 128.51}"
fbd_2714_q5,Extrapolative/Counterfactual Reasoning,fbd_2714.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2715_q1,Image Description,fbd_2715.png,How many force arrows are shown in this diagram?,4
fbd_2715_q2,Basic Relational Reasoning,fbd_2715.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2715_q3,Comparative Reasoning,fbd_2715.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2715_q4,Compound Reasoning,fbd_2715.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 168.44}"
fbd_2715_q5,Extrapolative/Counterfactual Reasoning,fbd_2715.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2716_q1,Image Description,fbd_2716.png,How many force arrows are shown in this diagram?,4
fbd_2716_q2,Basic Relational Reasoning,fbd_2716.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2716_q3,Comparative Reasoning,fbd_2716.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2716_q4,Compound Reasoning,fbd_2716.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0}"
fbd_2716_q5,Extrapolative/Counterfactual Reasoning,fbd_2716.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2717_q1,Image Description,fbd_2717.png,How many force arrows are shown in this diagram?,2
fbd_2717_q2,Basic Relational Reasoning,fbd_2717.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2717_q3,Comparative Reasoning,fbd_2717.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2717_q4,Compound Reasoning,fbd_2717.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 156.67}"
fbd_2717_q5,Extrapolative/Counterfactual Reasoning,fbd_2717.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2718_q1,Image Description,fbd_2718.png,How many force arrows are shown in this diagram?,3
fbd_2718_q2,Basic Relational Reasoning,fbd_2718.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2718_q3,Comparative Reasoning,fbd_2718.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2718_q4,Compound Reasoning,fbd_2718.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38}"
fbd_2718_q5,Extrapolative/Counterfactual Reasoning,fbd_2718.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_2719_q1,Image Description,fbd_2719.png,How many force arrows are shown in this diagram?,4
fbd_2719_q2,Basic Relational Reasoning,fbd_2719.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2719_q3,Comparative Reasoning,fbd_2719.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['A'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2719_q4,Compound Reasoning,fbd_2719.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 68.72, 'required_friction_coefficient': 0.54}"
fbd_2719_q5,Extrapolative/Counterfactual Reasoning,fbd_2719.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2720_q1,Image Description,fbd_2720.png,How many force arrows are shown in this diagram?,2
fbd_2720_q2,Basic Relational Reasoning,fbd_2720.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2720_q3,Comparative Reasoning,fbd_2720.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2720_q4,Compound Reasoning,fbd_2720.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 19.58, 'tension_magnitude': 70.18}"
fbd_2720_q5,Extrapolative/Counterfactual Reasoning,fbd_2720.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2721_q1,Image Description,fbd_2721.png,How many force arrows are shown in this diagram?,4
fbd_2721_q2,Basic Relational Reasoning,fbd_2721.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2721_q3,Comparative Reasoning,fbd_2721.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2721_q4,Compound Reasoning,fbd_2721.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 27.81, 'tension_magnitude': 171.63}"
fbd_2721_q5,Extrapolative/Counterfactual Reasoning,fbd_2721.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2722_q1,Image Description,fbd_2722.png,How many force arrows are shown in this diagram?,4
fbd_2722_q2,Basic Relational Reasoning,fbd_2722.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2722_q3,Comparative Reasoning,fbd_2722.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2722_q4,Compound Reasoning,fbd_2722.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 58.96}"
fbd_2722_q5,Extrapolative/Counterfactual Reasoning,fbd_2722.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (342 degrees; 0=right, 90=up)"
fbd_2723_q1,Image Description,fbd_2723.png,How many force arrows are shown in this diagram?,2
fbd_2723_q2,Basic Relational Reasoning,fbd_2723.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2723_q3,Comparative Reasoning,fbd_2723.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2723_q4,Compound Reasoning,fbd_2723.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 29.37, 'support_force_magnitude': 162.71}"
fbd_2723_q5,Extrapolative/Counterfactual Reasoning,fbd_2723.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2724_q1,Image Description,fbd_2724.png,How many force arrows are shown in this diagram?,3
fbd_2724_q2,Basic Relational Reasoning,fbd_2724.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2724_q3,Comparative Reasoning,fbd_2724.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2724_q4,Compound Reasoning,fbd_2724.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 40.41, 'required_friction_coefficient': 0.22}"
fbd_2724_q5,Extrapolative/Counterfactual Reasoning,fbd_2724.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (257.7 degrees; 0=right, 90=up)"
fbd_2725_q1,Image Description,fbd_2725.png,How many force arrows are shown in this diagram?,3
fbd_2725_q2,Basic Relational Reasoning,fbd_2725.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2725_q3,Comparative Reasoning,fbd_2725.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2725_q4,Compound Reasoning,fbd_2725.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_2725_q5,Extrapolative/Counterfactual Reasoning,fbd_2725.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2726_q1,Image Description,fbd_2726.png,How many force arrows are shown in this diagram?,1
fbd_2726_q2,Basic Relational Reasoning,fbd_2726.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2726_q3,Comparative Reasoning,fbd_2726.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2726_q4,Compound Reasoning,fbd_2726.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 85.84}"
fbd_2726_q5,Extrapolative/Counterfactual Reasoning,fbd_2726.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2727_q1,Image Description,fbd_2727.png,How many force arrows are shown in this diagram?,3
fbd_2727_q2,Basic Relational Reasoning,fbd_2727.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2727_q3,Comparative Reasoning,fbd_2727.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2727_q4,Compound Reasoning,fbd_2727.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 103.5}"
fbd_2727_q5,Extrapolative/Counterfactual Reasoning,fbd_2727.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2728_q1,Image Description,fbd_2728.png,How many force arrows are shown in this diagram?,3
fbd_2728_q2,Basic Relational Reasoning,fbd_2728.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2728_q3,Comparative Reasoning,fbd_2728.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2728_q4,Compound Reasoning,fbd_2728.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 0.0}"
fbd_2728_q5,Extrapolative/Counterfactual Reasoning,fbd_2728.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2729_q1,Image Description,fbd_2729.png,How many force arrows are shown in this diagram?,1
fbd_2729_q2,Basic Relational Reasoning,fbd_2729.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2729_q3,Comparative Reasoning,fbd_2729.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2729_q4,Compound Reasoning,fbd_2729.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 80.64}"
fbd_2729_q5,Extrapolative/Counterfactual Reasoning,fbd_2729.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2730_q1,Image Description,fbd_2730.png,How many force arrows are shown in this diagram?,2
fbd_2730_q2,Basic Relational Reasoning,fbd_2730.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2730_q3,Comparative Reasoning,fbd_2730.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2730_q4,Compound Reasoning,fbd_2730.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_2730_q5,Extrapolative/Counterfactual Reasoning,fbd_2730.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_2731_q1,Image Description,fbd_2731.png,How many force arrows are shown in this diagram?,4
fbd_2731_q2,Basic Relational Reasoning,fbd_2731.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2731_q3,Comparative Reasoning,fbd_2731.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2731_q4,Compound Reasoning,fbd_2731.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.54, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 123.0, 'magnitude': 135.833685}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 158.0, 'magnitude': 135.833685}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2731_q5,Extrapolative/Counterfactual Reasoning,fbd_2731.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2732_q1,Image Description,fbd_2732.png,How many force arrows are shown in this diagram?,2
fbd_2732_q2,Basic Relational Reasoning,fbd_2732.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2732_q3,Comparative Reasoning,fbd_2732.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2732_q4,Compound Reasoning,fbd_2732.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 171.87, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 171.8712}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 240.61968}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2732_q5,Extrapolative/Counterfactual Reasoning,fbd_2732.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2733_q1,Image Description,fbd_2733.png,How many force arrows are shown in this diagram?,4
fbd_2733_q2,Basic Relational Reasoning,fbd_2733.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2733_q3,Comparative Reasoning,fbd_2733.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2733_q4,Compound Reasoning,fbd_2733.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 171.77, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 171.7731}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 171.7731}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2733_q5,Extrapolative/Counterfactual Reasoning,fbd_2733.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2734_q1,Image Description,fbd_2734.png,How many force arrows are shown in this diagram?,4
fbd_2734_q2,Basic Relational Reasoning,fbd_2734.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2734_q3,Comparative Reasoning,fbd_2734.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2734_q4,Compound Reasoning,fbd_2734.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.63, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 94.14}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 131.796}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2734_q5,Extrapolative/Counterfactual Reasoning,fbd_2734.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2735_q1,Image Description,fbd_2735.png,How many force arrows are shown in this diagram?,2
fbd_2735_q2,Basic Relational Reasoning,fbd_2735.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2735_q3,Comparative Reasoning,fbd_2735.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2735_q4,Compound Reasoning,fbd_2735.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 100.55, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 100.5525}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 100.5525}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2735_q5,Extrapolative/Counterfactual Reasoning,fbd_2735.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2736_q1,Image Description,fbd_2736.png,How many force arrows are shown in this diagram?,3
fbd_2736_q2,Basic Relational Reasoning,fbd_2736.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2736_q3,Comparative Reasoning,fbd_2736.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2736_q4,Compound Reasoning,fbd_2736.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 68.0, 'magnitude': 63.396845}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 68.0, 'magnitude': 88.755583}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2736_q5,Extrapolative/Counterfactual Reasoning,fbd_2736.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_2737_q1,Image Description,fbd_2737.png,How many force arrows are shown in this diagram?,4
fbd_2737_q2,Basic Relational Reasoning,fbd_2737.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2737_q3,Comparative Reasoning,fbd_2737.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2737_q4,Compound Reasoning,fbd_2737.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.61}"
fbd_2737_q5,Extrapolative/Counterfactual Reasoning,fbd_2737.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2738_q1,Image Description,fbd_2738.png,How many force arrows are shown in this diagram?,2
fbd_2738_q2,Basic Relational Reasoning,fbd_2738.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2738_q3,Comparative Reasoning,fbd_2738.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2738_q4,Compound Reasoning,fbd_2738.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 121.25}"
fbd_2738_q5,Extrapolative/Counterfactual Reasoning,fbd_2738.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2739_q1,Image Description,fbd_2739.png,How many force arrows are shown in this diagram?,4
fbd_2739_q2,Basic Relational Reasoning,fbd_2739.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2739_q3,Comparative Reasoning,fbd_2739.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2739_q4,Compound Reasoning,fbd_2739.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 211.5}"
fbd_2739_q5,Extrapolative/Counterfactual Reasoning,fbd_2739.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2740_q1,Image Description,fbd_2740.png,How many force arrows are shown in this diagram?,4
fbd_2740_q2,Basic Relational Reasoning,fbd_2740.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2740_q3,Comparative Reasoning,fbd_2740.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2740_q4,Compound Reasoning,fbd_2740.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0}"
fbd_2740_q5,Extrapolative/Counterfactual Reasoning,fbd_2740.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2741_q1,Image Description,fbd_2741.png,How many force arrows are shown in this diagram?,2
fbd_2741_q2,Basic Relational Reasoning,fbd_2741.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2741_q3,Comparative Reasoning,fbd_2741.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2741_q4,Compound Reasoning,fbd_2741.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 196.49}"
fbd_2741_q5,Extrapolative/Counterfactual Reasoning,fbd_2741.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2742_q1,Image Description,fbd_2742.png,How many force arrows are shown in this diagram?,3
fbd_2742_q2,Basic Relational Reasoning,fbd_2742.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2742_q3,Comparative Reasoning,fbd_2742.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2742_q4,Compound Reasoning,fbd_2742.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_2742_q5,Extrapolative/Counterfactual Reasoning,fbd_2742.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (241 degrees; 0=right, 90=up)"
fbd_2743_q1,Image Description,fbd_2743.png,How many force arrows are shown in this diagram?,4
fbd_2743_q2,Basic Relational Reasoning,fbd_2743.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2743_q3,Comparative Reasoning,fbd_2743.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2743_q4,Compound Reasoning,fbd_2743.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 21.13, 'required_friction_coefficient': 0.39}"
fbd_2743_q5,Extrapolative/Counterfactual Reasoning,fbd_2743.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2744_q1,Image Description,fbd_2744.png,How many force arrows are shown in this diagram?,2
fbd_2744_q2,Basic Relational Reasoning,fbd_2744.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2744_q3,Comparative Reasoning,fbd_2744.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2744_q4,Compound Reasoning,fbd_2744.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 61.89, 'tension_magnitude': 128.43}"
fbd_2744_q5,Extrapolative/Counterfactual Reasoning,fbd_2744.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2745_q1,Image Description,fbd_2745.png,How many force arrows are shown in this diagram?,4
fbd_2745_q2,Basic Relational Reasoning,fbd_2745.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2745_q3,Comparative Reasoning,fbd_2745.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2745_q4,Compound Reasoning,fbd_2745.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 18.15, 'tension_magnitude': 152.15}"
fbd_2745_q5,Extrapolative/Counterfactual Reasoning,fbd_2745.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2746_q1,Image Description,fbd_2746.png,How many force arrows are shown in this diagram?,4
fbd_2746_q2,Basic Relational Reasoning,fbd_2746.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2746_q3,Comparative Reasoning,fbd_2746.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2746_q4,Compound Reasoning,fbd_2746.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 37.31}"
fbd_2746_q5,Extrapolative/Counterfactual Reasoning,fbd_2746.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (343.8 degrees; 0=right, 90=up)"
fbd_2747_q1,Image Description,fbd_2747.png,How many force arrows are shown in this diagram?,2
fbd_2747_q2,Basic Relational Reasoning,fbd_2747.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2747_q3,Comparative Reasoning,fbd_2747.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2747_q4,Compound Reasoning,fbd_2747.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 26.51, 'support_force_magnitude': 122.85}"
fbd_2747_q5,Extrapolative/Counterfactual Reasoning,fbd_2747.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2748_q1,Image Description,fbd_2748.png,How many force arrows are shown in this diagram?,3
fbd_2748_q2,Basic Relational Reasoning,fbd_2748.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2748_q3,Comparative Reasoning,fbd_2748.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2748_q4,Compound Reasoning,fbd_2748.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 54.38, 'required_friction_coefficient': 0.06}"
fbd_2748_q5,Extrapolative/Counterfactual Reasoning,fbd_2748.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (266.3 degrees; 0=right, 90=up)"
fbd_2749_q1,Image Description,fbd_2749.png,How many force arrows are shown in this diagram?,3
fbd_2749_q2,Basic Relational Reasoning,fbd_2749.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2749_q3,Comparative Reasoning,fbd_2749.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2749_q4,Compound Reasoning,fbd_2749.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.63}"
fbd_2749_q5,Extrapolative/Counterfactual Reasoning,fbd_2749.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2750_q1,Image Description,fbd_2750.png,How many force arrows are shown in this diagram?,1
fbd_2750_q2,Basic Relational Reasoning,fbd_2750.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2750_q3,Comparative Reasoning,fbd_2750.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2750_q4,Compound Reasoning,fbd_2750.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 81.52}"
fbd_2750_q5,Extrapolative/Counterfactual Reasoning,fbd_2750.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2751_q1,Image Description,fbd_2751.png,How many force arrows are shown in this diagram?,3
fbd_2751_q2,Basic Relational Reasoning,fbd_2751.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2751_q3,Comparative Reasoning,fbd_2751.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2751_q4,Compound Reasoning,fbd_2751.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 184.53}"
fbd_2751_q5,Extrapolative/Counterfactual Reasoning,fbd_2751.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2752_q1,Image Description,fbd_2752.png,How many force arrows are shown in this diagram?,3
fbd_2752_q2,Basic Relational Reasoning,fbd_2752.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2752_q3,Comparative Reasoning,fbd_2752.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2752_q4,Compound Reasoning,fbd_2752.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0}"
fbd_2752_q5,Extrapolative/Counterfactual Reasoning,fbd_2752.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2753_q1,Image Description,fbd_2753.png,How many force arrows are shown in this diagram?,1
fbd_2753_q2,Basic Relational Reasoning,fbd_2753.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2753_q3,Comparative Reasoning,fbd_2753.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2753_q4,Compound Reasoning,fbd_2753.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 92.02}"
fbd_2753_q5,Extrapolative/Counterfactual Reasoning,fbd_2753.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2754_q1,Image Description,fbd_2754.png,How many force arrows are shown in this diagram?,2
fbd_2754_q2,Basic Relational Reasoning,fbd_2754.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2754_q3,Comparative Reasoning,fbd_2754.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2754_q4,Compound Reasoning,fbd_2754.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_2754_q5,Extrapolative/Counterfactual Reasoning,fbd_2754.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_2755_q1,Image Description,fbd_2755.png,How many force arrows are shown in this diagram?,4
fbd_2755_q2,Basic Relational Reasoning,fbd_2755.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2755_q3,Comparative Reasoning,fbd_2755.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2755_q4,Compound Reasoning,fbd_2755.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.52, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 122.0, 'magnitude': 171.378648}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 157.0, 'magnitude': 171.378648}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2755_q5,Extrapolative/Counterfactual Reasoning,fbd_2755.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2756_q1,Image Description,fbd_2756.png,How many force arrows are shown in this diagram?,2
fbd_2756_q2,Basic Relational Reasoning,fbd_2756.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2756_q3,Comparative Reasoning,fbd_2756.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2756_q4,Compound Reasoning,fbd_2756.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 202.28, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 202.2822}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 283.19508}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2756_q5,Extrapolative/Counterfactual Reasoning,fbd_2756.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2757_q1,Image Description,fbd_2757.png,How many force arrows are shown in this diagram?,4
fbd_2757_q2,Basic Relational Reasoning,fbd_2757.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2757_q3,Comparative Reasoning,fbd_2757.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2757_q4,Compound Reasoning,fbd_2757.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 114.09, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 114.0903}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 114.0903}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2757_q5,Extrapolative/Counterfactual Reasoning,fbd_2757.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2758_q1,Image Description,fbd_2758.png,How many force arrows are shown in this diagram?,4
fbd_2758_q2,Basic Relational Reasoning,fbd_2758.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2758_q3,Comparative Reasoning,fbd_2758.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2758_q4,Compound Reasoning,fbd_2758.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 169.64}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 237.496}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2758_q5,Extrapolative/Counterfactual Reasoning,fbd_2758.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2759_q1,Image Description,fbd_2759.png,How many force arrows are shown in this diagram?,2
fbd_2759_q2,Basic Relational Reasoning,fbd_2759.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2759_q3,Comparative Reasoning,fbd_2759.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2759_q4,Compound Reasoning,fbd_2759.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 90.55, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 90.5463}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 90.5463}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2759_q5,Extrapolative/Counterfactual Reasoning,fbd_2759.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2760_q1,Image Description,fbd_2760.png,How many force arrows are shown in this diagram?,3
fbd_2760_q2,Basic Relational Reasoning,fbd_2760.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2760_q3,Comparative Reasoning,fbd_2760.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2760_q4,Compound Reasoning,fbd_2760.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 64.0, 'magnitude': 188.863773}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 64.0, 'magnitude': 264.409282}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2760_q5,Extrapolative/Counterfactual Reasoning,fbd_2760.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_2761_q1,Image Description,fbd_2761.png,How many force arrows are shown in this diagram?,4
fbd_2761_q2,Basic Relational Reasoning,fbd_2761.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2761_q3,Comparative Reasoning,fbd_2761.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2761_q4,Compound Reasoning,fbd_2761.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.5}"
fbd_2761_q5,Extrapolative/Counterfactual Reasoning,fbd_2761.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2762_q1,Image Description,fbd_2762.png,How many force arrows are shown in this diagram?,2
fbd_2762_q2,Basic Relational Reasoning,fbd_2762.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2762_q3,Comparative Reasoning,fbd_2762.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2762_q4,Compound Reasoning,fbd_2762.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 188.74}"
fbd_2762_q5,Extrapolative/Counterfactual Reasoning,fbd_2762.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2763_q1,Image Description,fbd_2763.png,How many force arrows are shown in this diagram?,4
fbd_2763_q2,Basic Relational Reasoning,fbd_2763.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2763_q3,Comparative Reasoning,fbd_2763.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2763_q4,Compound Reasoning,fbd_2763.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 200.42}"
fbd_2763_q5,Extrapolative/Counterfactual Reasoning,fbd_2763.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2764_q1,Image Description,fbd_2764.png,How many force arrows are shown in this diagram?,4
fbd_2764_q2,Basic Relational Reasoning,fbd_2764.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2764_q3,Comparative Reasoning,fbd_2764.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2764_q4,Compound Reasoning,fbd_2764.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0}"
fbd_2764_q5,Extrapolative/Counterfactual Reasoning,fbd_2764.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2765_q1,Image Description,fbd_2765.png,How many force arrows are shown in this diagram?,2
fbd_2765_q2,Basic Relational Reasoning,fbd_2765.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2765_q3,Comparative Reasoning,fbd_2765.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2765_q4,Compound Reasoning,fbd_2765.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 69.75}"
fbd_2765_q5,Extrapolative/Counterfactual Reasoning,fbd_2765.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2766_q1,Image Description,fbd_2766.png,How many force arrows are shown in this diagram?,3
fbd_2766_q2,Basic Relational Reasoning,fbd_2766.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2766_q3,Comparative Reasoning,fbd_2766.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2766_q4,Compound Reasoning,fbd_2766.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_2766_q5,Extrapolative/Counterfactual Reasoning,fbd_2766.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_2767_q1,Image Description,fbd_2767.png,How many force arrows are shown in this diagram?,4
fbd_2767_q2,Basic Relational Reasoning,fbd_2767.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2767_q3,Comparative Reasoning,fbd_2767.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2767_q4,Compound Reasoning,fbd_2767.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 40.12, 'required_friction_coefficient': 0.47}"
fbd_2767_q5,Extrapolative/Counterfactual Reasoning,fbd_2767.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2768_q1,Image Description,fbd_2768.png,How many force arrows are shown in this diagram?,2
fbd_2768_q2,Basic Relational Reasoning,fbd_2768.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2768_q3,Comparative Reasoning,fbd_2768.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2768_q4,Compound Reasoning,fbd_2768.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 19.04, 'tension_magnitude': 158.82}"
fbd_2768_q5,Extrapolative/Counterfactual Reasoning,fbd_2768.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2769_q1,Image Description,fbd_2769.png,How many force arrows are shown in this diagram?,4
fbd_2769_q2,Basic Relational Reasoning,fbd_2769.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2769_q3,Comparative Reasoning,fbd_2769.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2769_q4,Compound Reasoning,fbd_2769.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 14.75, 'tension_magnitude': 100.58}"
fbd_2769_q5,Extrapolative/Counterfactual Reasoning,fbd_2769.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2770_q1,Image Description,fbd_2770.png,How many force arrows are shown in this diagram?,4
fbd_2770_q2,Basic Relational Reasoning,fbd_2770.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2770_q3,Comparative Reasoning,fbd_2770.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2770_q4,Compound Reasoning,fbd_2770.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 32.49}"
fbd_2770_q5,Extrapolative/Counterfactual Reasoning,fbd_2770.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (343.2 degrees; 0=right, 90=up)"
fbd_2771_q1,Image Description,fbd_2771.png,How many force arrows are shown in this diagram?,2
fbd_2771_q2,Basic Relational Reasoning,fbd_2771.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2771_q3,Comparative Reasoning,fbd_2771.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2771_q4,Compound Reasoning,fbd_2771.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 26.83, 'support_force_magnitude': 64.89}"
fbd_2771_q5,Extrapolative/Counterfactual Reasoning,fbd_2771.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2772_q1,Image Description,fbd_2772.png,How many force arrows are shown in this diagram?,3
fbd_2772_q2,Basic Relational Reasoning,fbd_2772.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2772_q3,Comparative Reasoning,fbd_2772.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2772_q4,Compound Reasoning,fbd_2772.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 39.03, 'required_friction_coefficient': 0.18}"
fbd_2772_q5,Extrapolative/Counterfactual Reasoning,fbd_2772.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (260 degrees; 0=right, 90=up)"
fbd_2773_q1,Image Description,fbd_2773.png,How many force arrows are shown in this diagram?,3
fbd_2773_q2,Basic Relational Reasoning,fbd_2773.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2773_q3,Comparative Reasoning,fbd_2773.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2773_q4,Compound Reasoning,fbd_2773.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.57}"
fbd_2773_q5,Extrapolative/Counterfactual Reasoning,fbd_2773.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2774_q1,Image Description,fbd_2774.png,How many force arrows are shown in this diagram?,1
fbd_2774_q2,Basic Relational Reasoning,fbd_2774.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2774_q3,Comparative Reasoning,fbd_2774.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2774_q4,Compound Reasoning,fbd_2774.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 150.29}"
fbd_2774_q5,Extrapolative/Counterfactual Reasoning,fbd_2774.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2775_q1,Image Description,fbd_2775.png,How many force arrows are shown in this diagram?,3
fbd_2775_q2,Basic Relational Reasoning,fbd_2775.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2775_q3,Comparative Reasoning,fbd_2775.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2775_q4,Compound Reasoning,fbd_2775.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 161.67}"
fbd_2775_q5,Extrapolative/Counterfactual Reasoning,fbd_2775.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2776_q1,Image Description,fbd_2776.png,How many force arrows are shown in this diagram?,3
fbd_2776_q2,Basic Relational Reasoning,fbd_2776.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2776_q3,Comparative Reasoning,fbd_2776.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2776_q4,Compound Reasoning,fbd_2776.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 0.0}"
fbd_2776_q5,Extrapolative/Counterfactual Reasoning,fbd_2776.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2777_q1,Image Description,fbd_2777.png,How many force arrows are shown in this diagram?,1
fbd_2777_q2,Basic Relational Reasoning,fbd_2777.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2777_q3,Comparative Reasoning,fbd_2777.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2777_q4,Compound Reasoning,fbd_2777.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 151.86}"
fbd_2777_q5,Extrapolative/Counterfactual Reasoning,fbd_2777.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2778_q1,Image Description,fbd_2778.png,How many force arrows are shown in this diagram?,2
fbd_2778_q2,Basic Relational Reasoning,fbd_2778.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2778_q3,Comparative Reasoning,fbd_2778.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2778_q4,Compound Reasoning,fbd_2778.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_2778_q5,Extrapolative/Counterfactual Reasoning,fbd_2778.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_2779_q1,Image Description,fbd_2779.png,How many force arrows are shown in this diagram?,4
fbd_2779_q2,Basic Relational Reasoning,fbd_2779.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2779_q3,Comparative Reasoning,fbd_2779.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2779_q4,Compound Reasoning,fbd_2779.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.46, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 118.0, 'magnitude': 149.674451}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 153.0, 'magnitude': 149.674451}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2779_q5,Extrapolative/Counterfactual Reasoning,fbd_2779.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2780_q1,Image Description,fbd_2780.png,How many force arrows are shown in this diagram?,2
fbd_2780_q2,Basic Relational Reasoning,fbd_2780.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2780_q3,Comparative Reasoning,fbd_2780.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2780_q4,Compound Reasoning,fbd_2780.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 149.5, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 149.5044}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 209.30616}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2780_q5,Extrapolative/Counterfactual Reasoning,fbd_2780.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2781_q1,Image Description,fbd_2781.png,How many force arrows are shown in this diagram?,4
fbd_2781_q2,Basic Relational Reasoning,fbd_2781.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2781_q3,Comparative Reasoning,fbd_2781.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2781_q4,Compound Reasoning,fbd_2781.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 102.42, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 102.4164}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 102.4164}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2781_q5,Extrapolative/Counterfactual Reasoning,fbd_2781.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2782_q1,Image Description,fbd_2782.png,How many force arrows are shown in this diagram?,4
fbd_2782_q2,Basic Relational Reasoning,fbd_2782.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2782_q3,Comparative Reasoning,fbd_2782.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2782_q4,Compound Reasoning,fbd_2782.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 186.23}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 260.722}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2782_q5,Extrapolative/Counterfactual Reasoning,fbd_2782.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2783_q1,Image Description,fbd_2783.png,How many force arrows are shown in this diagram?,2
fbd_2783_q2,Basic Relational Reasoning,fbd_2783.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2783_q3,Comparative Reasoning,fbd_2783.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2783_q4,Compound Reasoning,fbd_2783.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 156.86, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 156.8619}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 156.8619}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2783_q5,Extrapolative/Counterfactual Reasoning,fbd_2783.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2784_q1,Image Description,fbd_2784.png,How many force arrows are shown in this diagram?,3
fbd_2784_q2,Basic Relational Reasoning,fbd_2784.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2784_q3,Comparative Reasoning,fbd_2784.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2784_q4,Compound Reasoning,fbd_2784.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 74.0, 'magnitude': 74.119621}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 74.0, 'magnitude': 103.767469}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2784_q5,Extrapolative/Counterfactual Reasoning,fbd_2784.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_2785_q1,Image Description,fbd_2785.png,How many force arrows are shown in this diagram?,4
fbd_2785_q2,Basic Relational Reasoning,fbd_2785.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2785_q3,Comparative Reasoning,fbd_2785.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2785_q4,Compound Reasoning,fbd_2785.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.6}"
fbd_2785_q5,Extrapolative/Counterfactual Reasoning,fbd_2785.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2786_q1,Image Description,fbd_2786.png,How many force arrows are shown in this diagram?,2
fbd_2786_q2,Basic Relational Reasoning,fbd_2786.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2786_q3,Comparative Reasoning,fbd_2786.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2786_q4,Compound Reasoning,fbd_2786.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 191.59}"
fbd_2786_q5,Extrapolative/Counterfactual Reasoning,fbd_2786.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2787_q1,Image Description,fbd_2787.png,How many force arrows are shown in this diagram?,4
fbd_2787_q2,Basic Relational Reasoning,fbd_2787.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2787_q3,Comparative Reasoning,fbd_2787.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2787_q4,Compound Reasoning,fbd_2787.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 166.87}"
fbd_2787_q5,Extrapolative/Counterfactual Reasoning,fbd_2787.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2788_q1,Image Description,fbd_2788.png,How many force arrows are shown in this diagram?,4
fbd_2788_q2,Basic Relational Reasoning,fbd_2788.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2788_q3,Comparative Reasoning,fbd_2788.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2788_q4,Compound Reasoning,fbd_2788.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 0.0}"
fbd_2788_q5,Extrapolative/Counterfactual Reasoning,fbd_2788.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2789_q1,Image Description,fbd_2789.png,How many force arrows are shown in this diagram?,2
fbd_2789_q2,Basic Relational Reasoning,fbd_2789.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2789_q3,Comparative Reasoning,fbd_2789.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2789_q4,Compound Reasoning,fbd_2789.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 179.72}"
fbd_2789_q5,Extrapolative/Counterfactual Reasoning,fbd_2789.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2790_q1,Image Description,fbd_2790.png,How many force arrows are shown in this diagram?,3
fbd_2790_q2,Basic Relational Reasoning,fbd_2790.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2790_q3,Comparative Reasoning,fbd_2790.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2790_q4,Compound Reasoning,fbd_2790.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53}"
fbd_2790_q5,Extrapolative/Counterfactual Reasoning,fbd_2790.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (242 degrees; 0=right, 90=up)"
fbd_2791_q1,Image Description,fbd_2791.png,How many force arrows are shown in this diagram?,4
fbd_2791_q2,Basic Relational Reasoning,fbd_2791.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2791_q3,Comparative Reasoning,fbd_2791.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2791_q4,Compound Reasoning,fbd_2791.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 58.32, 'required_friction_coefficient': 0.58}"
fbd_2791_q5,Extrapolative/Counterfactual Reasoning,fbd_2791.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2792_q1,Image Description,fbd_2792.png,How many force arrows are shown in this diagram?,2
fbd_2792_q2,Basic Relational Reasoning,fbd_2792.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2792_q3,Comparative Reasoning,fbd_2792.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2792_q4,Compound Reasoning,fbd_2792.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 13.04, 'tension_magnitude': 65.93}"
fbd_2792_q5,Extrapolative/Counterfactual Reasoning,fbd_2792.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2793_q1,Image Description,fbd_2793.png,How many force arrows are shown in this diagram?,4
fbd_2793_q2,Basic Relational Reasoning,fbd_2793.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2793_q3,Comparative Reasoning,fbd_2793.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2793_q4,Compound Reasoning,fbd_2793.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 23.11, 'tension_magnitude': 91.38}"
fbd_2793_q5,Extrapolative/Counterfactual Reasoning,fbd_2793.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2794_q1,Image Description,fbd_2794.png,How many force arrows are shown in this diagram?,4
fbd_2794_q2,Basic Relational Reasoning,fbd_2794.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2794_q3,Comparative Reasoning,fbd_2794.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2794_q4,Compound Reasoning,fbd_2794.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.7, 'net_force_N': 27.16}"
fbd_2794_q5,Extrapolative/Counterfactual Reasoning,fbd_2794.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (343.6 degrees; 0=right, 90=up)"
fbd_2795_q1,Image Description,fbd_2795.png,How many force arrows are shown in this diagram?,2
fbd_2795_q2,Basic Relational Reasoning,fbd_2795.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2795_q3,Comparative Reasoning,fbd_2795.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2795_q4,Compound Reasoning,fbd_2795.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 36.75, 'support_force_magnitude': 199.89}"
fbd_2795_q5,Extrapolative/Counterfactual Reasoning,fbd_2795.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2796_q1,Image Description,fbd_2796.png,How many force arrows are shown in this diagram?,3
fbd_2796_q2,Basic Relational Reasoning,fbd_2796.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2796_q3,Comparative Reasoning,fbd_2796.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2796_q4,Compound Reasoning,fbd_2796.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 28.1, 'required_friction_coefficient': 0.16}"
fbd_2796_q5,Extrapolative/Counterfactual Reasoning,fbd_2796.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (261.1 degrees; 0=right, 90=up)"
fbd_2797_q1,Image Description,fbd_2797.png,How many force arrows are shown in this diagram?,3
fbd_2797_q2,Basic Relational Reasoning,fbd_2797.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2797_q3,Comparative Reasoning,fbd_2797.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2797_q4,Compound Reasoning,fbd_2797.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.63}"
fbd_2797_q5,Extrapolative/Counterfactual Reasoning,fbd_2797.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2798_q1,Image Description,fbd_2798.png,How many force arrows are shown in this diagram?,1
fbd_2798_q2,Basic Relational Reasoning,fbd_2798.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2798_q3,Comparative Reasoning,fbd_2798.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2798_q4,Compound Reasoning,fbd_2798.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 170.79}"
fbd_2798_q5,Extrapolative/Counterfactual Reasoning,fbd_2798.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2799_q1,Image Description,fbd_2799.png,How many force arrows are shown in this diagram?,3
fbd_2799_q2,Basic Relational Reasoning,fbd_2799.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2799_q3,Comparative Reasoning,fbd_2799.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2799_q4,Compound Reasoning,fbd_2799.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 182.86}"
fbd_2799_q5,Extrapolative/Counterfactual Reasoning,fbd_2799.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2800_q1,Image Description,fbd_2800.png,How many force arrows are shown in this diagram?,3
fbd_2800_q2,Basic Relational Reasoning,fbd_2800.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2800_q3,Comparative Reasoning,fbd_2800.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2800_q4,Compound Reasoning,fbd_2800.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0}"
fbd_2800_q5,Extrapolative/Counterfactual Reasoning,fbd_2800.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2801_q1,Image Description,fbd_2801.png,How many force arrows are shown in this diagram?,1
fbd_2801_q2,Basic Relational Reasoning,fbd_2801.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2801_q3,Comparative Reasoning,fbd_2801.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2801_q4,Compound Reasoning,fbd_2801.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 132.14}"
fbd_2801_q5,Extrapolative/Counterfactual Reasoning,fbd_2801.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2802_q1,Image Description,fbd_2802.png,How many force arrows are shown in this diagram?,2
fbd_2802_q2,Basic Relational Reasoning,fbd_2802.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2802_q3,Comparative Reasoning,fbd_2802.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2802_q4,Compound Reasoning,fbd_2802.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_2802_q5,Extrapolative/Counterfactual Reasoning,fbd_2802.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_2803_q1,Image Description,fbd_2803.png,How many force arrows are shown in this diagram?,4
fbd_2803_q2,Basic Relational Reasoning,fbd_2803.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2803_q3,Comparative Reasoning,fbd_2803.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2803_q4,Compound Reasoning,fbd_2803.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 116.0, 'magnitude': 156.328417}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 151.0, 'magnitude': 156.328417}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2803_q5,Extrapolative/Counterfactual Reasoning,fbd_2803.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2804_q1,Image Description,fbd_2804.png,How many force arrows are shown in this diagram?,2
fbd_2804_q2,Basic Relational Reasoning,fbd_2804.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2804_q3,Comparative Reasoning,fbd_2804.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2804_q4,Compound Reasoning,fbd_2804.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 105.36, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 105.3594}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 147.50316}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2804_q5,Extrapolative/Counterfactual Reasoning,fbd_2804.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2805_q1,Image Description,fbd_2805.png,How many force arrows are shown in this diagram?,4
fbd_2805_q2,Basic Relational Reasoning,fbd_2805.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2805_q3,Comparative Reasoning,fbd_2805.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2805_q4,Compound Reasoning,fbd_2805.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 80.54, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 80.5401}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 80.5401}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2805_q5,Extrapolative/Counterfactual Reasoning,fbd_2805.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2806_q1,Image Description,fbd_2806.png,How many force arrows are shown in this diagram?,4
fbd_2806_q2,Basic Relational Reasoning,fbd_2806.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2806_q3,Comparative Reasoning,fbd_2806.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2806_q4,Compound Reasoning,fbd_2806.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.73, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 210.96}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 295.344}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2806_q5,Extrapolative/Counterfactual Reasoning,fbd_2806.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2807_q1,Image Description,fbd_2807.png,How many force arrows are shown in this diagram?,2
fbd_2807_q2,Basic Relational Reasoning,fbd_2807.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2807_q3,Comparative Reasoning,fbd_2807.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2807_q4,Compound Reasoning,fbd_2807.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 145.68, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 145.6785}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 145.6785}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2807_q5,Extrapolative/Counterfactual Reasoning,fbd_2807.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2808_q1,Image Description,fbd_2808.png,How many force arrows are shown in this diagram?,3
fbd_2808_q2,Basic Relational Reasoning,fbd_2808.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2808_q3,Comparative Reasoning,fbd_2808.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2808_q4,Compound Reasoning,fbd_2808.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 73.0, 'magnitude': 79.553845}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 73.0, 'magnitude': 111.375383}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2808_q5,Extrapolative/Counterfactual Reasoning,fbd_2808.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_2809_q1,Image Description,fbd_2809.png,How many force arrows are shown in this diagram?,4
fbd_2809_q2,Basic Relational Reasoning,fbd_2809.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2809_q3,Comparative Reasoning,fbd_2809.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2809_q4,Compound Reasoning,fbd_2809.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.6}"
fbd_2809_q5,Extrapolative/Counterfactual Reasoning,fbd_2809.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2810_q1,Image Description,fbd_2810.png,How many force arrows are shown in this diagram?,2
fbd_2810_q2,Basic Relational Reasoning,fbd_2810.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2810_q3,Comparative Reasoning,fbd_2810.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2810_q4,Compound Reasoning,fbd_2810.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 119.0}"
fbd_2810_q5,Extrapolative/Counterfactual Reasoning,fbd_2810.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2811_q1,Image Description,fbd_2811.png,How many force arrows are shown in this diagram?,4
fbd_2811_q2,Basic Relational Reasoning,fbd_2811.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2811_q3,Comparative Reasoning,fbd_2811.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2811_q4,Compound Reasoning,fbd_2811.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 61.7}"
fbd_2811_q5,Extrapolative/Counterfactual Reasoning,fbd_2811.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2812_q1,Image Description,fbd_2812.png,How many force arrows are shown in this diagram?,4
fbd_2812_q2,Basic Relational Reasoning,fbd_2812.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2812_q3,Comparative Reasoning,fbd_2812.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2812_q4,Compound Reasoning,fbd_2812.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 0.0}"
fbd_2812_q5,Extrapolative/Counterfactual Reasoning,fbd_2812.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2813_q1,Image Description,fbd_2813.png,How many force arrows are shown in this diagram?,2
fbd_2813_q2,Basic Relational Reasoning,fbd_2813.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2813_q3,Comparative Reasoning,fbd_2813.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2813_q4,Compound Reasoning,fbd_2813.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 148.82}"
fbd_2813_q5,Extrapolative/Counterfactual Reasoning,fbd_2813.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2814_q1,Image Description,fbd_2814.png,How many force arrows are shown in this diagram?,3
fbd_2814_q2,Basic Relational Reasoning,fbd_2814.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2814_q3,Comparative Reasoning,fbd_2814.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2814_q4,Compound Reasoning,fbd_2814.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_2814_q5,Extrapolative/Counterfactual Reasoning,fbd_2814.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_2815_q1,Image Description,fbd_2815.png,How many force arrows are shown in this diagram?,4
fbd_2815_q2,Basic Relational Reasoning,fbd_2815.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2815_q3,Comparative Reasoning,fbd_2815.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2815_q4,Compound Reasoning,fbd_2815.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 73.23, 'required_friction_coefficient': 0.66}"
fbd_2815_q5,Extrapolative/Counterfactual Reasoning,fbd_2815.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2816_q1,Image Description,fbd_2816.png,How many force arrows are shown in this diagram?,2
fbd_2816_q2,Basic Relational Reasoning,fbd_2816.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2816_q3,Comparative Reasoning,fbd_2816.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2816_q4,Compound Reasoning,fbd_2816.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 22.99, 'tension_magnitude': 106.6}"
fbd_2816_q5,Extrapolative/Counterfactual Reasoning,fbd_2816.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2817_q1,Image Description,fbd_2817.png,How many force arrows are shown in this diagram?,4
fbd_2817_q2,Basic Relational Reasoning,fbd_2817.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2817_q3,Comparative Reasoning,fbd_2817.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2817_q4,Compound Reasoning,fbd_2817.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 23.94, 'tension_magnitude': 210.33}"
fbd_2817_q5,Extrapolative/Counterfactual Reasoning,fbd_2817.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2818_q1,Image Description,fbd_2818.png,How many force arrows are shown in this diagram?,4
fbd_2818_q2,Basic Relational Reasoning,fbd_2818.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2818_q3,Comparative Reasoning,fbd_2818.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2818_q4,Compound Reasoning,fbd_2818.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.71, 'net_force_N': 40.8}"
fbd_2818_q5,Extrapolative/Counterfactual Reasoning,fbd_2818.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (337.7 degrees; 0=right, 90=up)"
fbd_2819_q1,Image Description,fbd_2819.png,How many force arrows are shown in this diagram?,2
fbd_2819_q2,Basic Relational Reasoning,fbd_2819.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2819_q3,Comparative Reasoning,fbd_2819.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2819_q4,Compound Reasoning,fbd_2819.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 18.75, 'support_force_magnitude': 116.06}"
fbd_2819_q5,Extrapolative/Counterfactual Reasoning,fbd_2819.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2820_q1,Image Description,fbd_2820.png,How many force arrows are shown in this diagram?,3
fbd_2820_q2,Basic Relational Reasoning,fbd_2820.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2820_q3,Comparative Reasoning,fbd_2820.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2820_q4,Compound Reasoning,fbd_2820.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 28.56, 'required_friction_coefficient': 0.2}"
fbd_2820_q5,Extrapolative/Counterfactual Reasoning,fbd_2820.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (258.6 degrees; 0=right, 90=up)"
fbd_2821_q1,Image Description,fbd_2821.png,How many force arrows are shown in this diagram?,3
fbd_2821_q2,Basic Relational Reasoning,fbd_2821.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2821_q3,Comparative Reasoning,fbd_2821.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2821_q4,Compound Reasoning,fbd_2821.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.44}"
fbd_2821_q5,Extrapolative/Counterfactual Reasoning,fbd_2821.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2822_q1,Image Description,fbd_2822.png,How many force arrows are shown in this diagram?,1
fbd_2822_q2,Basic Relational Reasoning,fbd_2822.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2822_q3,Comparative Reasoning,fbd_2822.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2822_q4,Compound Reasoning,fbd_2822.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 120.56}"
fbd_2822_q5,Extrapolative/Counterfactual Reasoning,fbd_2822.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2823_q1,Image Description,fbd_2823.png,How many force arrows are shown in this diagram?,3
fbd_2823_q2,Basic Relational Reasoning,fbd_2823.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2823_q3,Comparative Reasoning,fbd_2823.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2823_q4,Compound Reasoning,fbd_2823.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 103.1}"
fbd_2823_q5,Extrapolative/Counterfactual Reasoning,fbd_2823.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2824_q1,Image Description,fbd_2824.png,How many force arrows are shown in this diagram?,3
fbd_2824_q2,Basic Relational Reasoning,fbd_2824.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2824_q3,Comparative Reasoning,fbd_2824.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2824_q4,Compound Reasoning,fbd_2824.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 0.0}"
fbd_2824_q5,Extrapolative/Counterfactual Reasoning,fbd_2824.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2825_q1,Image Description,fbd_2825.png,How many force arrows are shown in this diagram?,1
fbd_2825_q2,Basic Relational Reasoning,fbd_2825.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2825_q3,Comparative Reasoning,fbd_2825.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2825_q4,Compound Reasoning,fbd_2825.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 87.6}"
fbd_2825_q5,Extrapolative/Counterfactual Reasoning,fbd_2825.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2826_q1,Image Description,fbd_2826.png,How many force arrows are shown in this diagram?,2
fbd_2826_q2,Basic Relational Reasoning,fbd_2826.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2826_q3,Comparative Reasoning,fbd_2826.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2826_q4,Compound Reasoning,fbd_2826.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_2826_q5,Extrapolative/Counterfactual Reasoning,fbd_2826.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_2827_q1,Image Description,fbd_2827.png,How many force arrows are shown in this diagram?,4
fbd_2827_q2,Basic Relational Reasoning,fbd_2827.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2827_q3,Comparative Reasoning,fbd_2827.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2827_q4,Compound Reasoning,fbd_2827.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.64, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 127.0, 'magnitude': 60.796607}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 162.0, 'magnitude': 60.796607}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2827_q5,Extrapolative/Counterfactual Reasoning,fbd_2827.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2828_q1,Image Description,fbd_2828.png,How many force arrows are shown in this diagram?,2
fbd_2828_q2,Basic Relational Reasoning,fbd_2828.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2828_q3,Comparative Reasoning,fbd_2828.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2828_q4,Compound Reasoning,fbd_2828.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 125.76, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 125.7642}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 176.06988}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2828_q5,Extrapolative/Counterfactual Reasoning,fbd_2828.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2829_q1,Image Description,fbd_2829.png,How many force arrows are shown in this diagram?,4
fbd_2829_q2,Basic Relational Reasoning,fbd_2829.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2829_q3,Comparative Reasoning,fbd_2829.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2829_q4,Compound Reasoning,fbd_2829.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 98.98, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 98.9829}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 98.9829}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2829_q5,Extrapolative/Counterfactual Reasoning,fbd_2829.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2830_q1,Image Description,fbd_2830.png,How many force arrows are shown in this diagram?,4
fbd_2830_q2,Basic Relational Reasoning,fbd_2830.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2830_q3,Comparative Reasoning,fbd_2830.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2830_q4,Compound Reasoning,fbd_2830.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 291.31}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 407.834}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2830_q5,Extrapolative/Counterfactual Reasoning,fbd_2830.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2831_q1,Image Description,fbd_2831.png,How many force arrows are shown in this diagram?,2
fbd_2831_q2,Basic Relational Reasoning,fbd_2831.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2831_q3,Comparative Reasoning,fbd_2831.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2831_q4,Compound Reasoning,fbd_2831.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 137.14, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 137.1438}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 137.1438}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2831_q5,Extrapolative/Counterfactual Reasoning,fbd_2831.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2832_q1,Image Description,fbd_2832.png,How many force arrows are shown in this diagram?,3
fbd_2832_q2,Basic Relational Reasoning,fbd_2832.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2832_q3,Comparative Reasoning,fbd_2832.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2832_q4,Compound Reasoning,fbd_2832.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.29, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 74.0, 'magnitude': 181.338462}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 74.0, 'magnitude': 253.873847}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2832_q5,Extrapolative/Counterfactual Reasoning,fbd_2832.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (254 degrees; 0=right, 90=up)"
fbd_2833_q1,Image Description,fbd_2833.png,How many force arrows are shown in this diagram?,4
fbd_2833_q2,Basic Relational Reasoning,fbd_2833.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2833_q3,Comparative Reasoning,fbd_2833.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2833_q4,Compound Reasoning,fbd_2833.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_2833_q5,Extrapolative/Counterfactual Reasoning,fbd_2833.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2834_q1,Image Description,fbd_2834.png,How many force arrows are shown in this diagram?,2
fbd_2834_q2,Basic Relational Reasoning,fbd_2834.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2834_q3,Comparative Reasoning,fbd_2834.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2834_q4,Compound Reasoning,fbd_2834.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 133.71}"
fbd_2834_q5,Extrapolative/Counterfactual Reasoning,fbd_2834.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2835_q1,Image Description,fbd_2835.png,How many force arrows are shown in this diagram?,4
fbd_2835_q2,Basic Relational Reasoning,fbd_2835.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2835_q3,Comparative Reasoning,fbd_2835.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2835_q4,Compound Reasoning,fbd_2835.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 91.82}"
fbd_2835_q5,Extrapolative/Counterfactual Reasoning,fbd_2835.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2836_q1,Image Description,fbd_2836.png,How many force arrows are shown in this diagram?,4
fbd_2836_q2,Basic Relational Reasoning,fbd_2836.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2836_q3,Comparative Reasoning,fbd_2836.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2836_q4,Compound Reasoning,fbd_2836.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 0.0}"
fbd_2836_q5,Extrapolative/Counterfactual Reasoning,fbd_2836.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2837_q1,Image Description,fbd_2837.png,How many force arrows are shown in this diagram?,2
fbd_2837_q2,Basic Relational Reasoning,fbd_2837.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2837_q3,Comparative Reasoning,fbd_2837.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2837_q4,Compound Reasoning,fbd_2837.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 106.24}"
fbd_2837_q5,Extrapolative/Counterfactual Reasoning,fbd_2837.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2838_q1,Image Description,fbd_2838.png,How many force arrows are shown in this diagram?,3
fbd_2838_q2,Basic Relational Reasoning,fbd_2838.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2838_q3,Comparative Reasoning,fbd_2838.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2838_q4,Compound Reasoning,fbd_2838.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.49}"
fbd_2838_q5,Extrapolative/Counterfactual Reasoning,fbd_2838.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (244 degrees; 0=right, 90=up)"
fbd_2839_q1,Image Description,fbd_2839.png,How many force arrows are shown in this diagram?,4
fbd_2839_q2,Basic Relational Reasoning,fbd_2839.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2839_q3,Comparative Reasoning,fbd_2839.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2839_q4,Compound Reasoning,fbd_2839.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 49.29, 'required_friction_coefficient': 0.7}"
fbd_2839_q5,Extrapolative/Counterfactual Reasoning,fbd_2839.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2840_q1,Image Description,fbd_2840.png,How many force arrows are shown in this diagram?,2
fbd_2840_q2,Basic Relational Reasoning,fbd_2840.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2840_q3,Comparative Reasoning,fbd_2840.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2840_q4,Compound Reasoning,fbd_2840.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 51.69, 'tension_magnitude': 124.99}"
fbd_2840_q5,Extrapolative/Counterfactual Reasoning,fbd_2840.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2841_q1,Image Description,fbd_2841.png,How many force arrows are shown in this diagram?,4
fbd_2841_q2,Basic Relational Reasoning,fbd_2841.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2841_q3,Comparative Reasoning,fbd_2841.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2841_q4,Compound Reasoning,fbd_2841.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 27.79, 'tension_magnitude': 142.37}"
fbd_2841_q5,Extrapolative/Counterfactual Reasoning,fbd_2841.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2842_q1,Image Description,fbd_2842.png,How many force arrows are shown in this diagram?,4
fbd_2842_q2,Basic Relational Reasoning,fbd_2842.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2842_q3,Comparative Reasoning,fbd_2842.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2842_q4,Compound Reasoning,fbd_2842.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.66, 'net_force_N': 28.27}"
fbd_2842_q5,Extrapolative/Counterfactual Reasoning,fbd_2842.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (342.6 degrees; 0=right, 90=up)"
fbd_2843_q1,Image Description,fbd_2843.png,How many force arrows are shown in this diagram?,2
fbd_2843_q2,Basic Relational Reasoning,fbd_2843.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2843_q3,Comparative Reasoning,fbd_2843.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2843_q4,Compound Reasoning,fbd_2843.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 34.46, 'support_force_magnitude': 113.18}"
fbd_2843_q5,Extrapolative/Counterfactual Reasoning,fbd_2843.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2844_q1,Image Description,fbd_2844.png,How many force arrows are shown in this diagram?,3
fbd_2844_q2,Basic Relational Reasoning,fbd_2844.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2844_q3,Comparative Reasoning,fbd_2844.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2844_q4,Compound Reasoning,fbd_2844.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 28.11, 'required_friction_coefficient': 0.12}"
fbd_2844_q5,Extrapolative/Counterfactual Reasoning,fbd_2844.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (263.4 degrees; 0=right, 90=up)"
fbd_2845_q1,Image Description,fbd_2845.png,How many force arrows are shown in this diagram?,3
fbd_2845_q2,Basic Relational Reasoning,fbd_2845.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2845_q3,Comparative Reasoning,fbd_2845.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2845_q4,Compound Reasoning,fbd_2845.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.52}"
fbd_2845_q5,Extrapolative/Counterfactual Reasoning,fbd_2845.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2846_q1,Image Description,fbd_2846.png,How many force arrows are shown in this diagram?,1
fbd_2846_q2,Basic Relational Reasoning,fbd_2846.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2846_q3,Comparative Reasoning,fbd_2846.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2846_q4,Compound Reasoning,fbd_2846.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 117.52}"
fbd_2846_q5,Extrapolative/Counterfactual Reasoning,fbd_2846.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2847_q1,Image Description,fbd_2847.png,How many force arrows are shown in this diagram?,3
fbd_2847_q2,Basic Relational Reasoning,fbd_2847.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2847_q3,Comparative Reasoning,fbd_2847.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2847_q4,Compound Reasoning,fbd_2847.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 168.83}"
fbd_2847_q5,Extrapolative/Counterfactual Reasoning,fbd_2847.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2848_q1,Image Description,fbd_2848.png,How many force arrows are shown in this diagram?,3
fbd_2848_q2,Basic Relational Reasoning,fbd_2848.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2848_q3,Comparative Reasoning,fbd_2848.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2848_q4,Compound Reasoning,fbd_2848.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.7, 'net_force_N': 0.0}"
fbd_2848_q5,Extrapolative/Counterfactual Reasoning,fbd_2848.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2849_q1,Image Description,fbd_2849.png,How many force arrows are shown in this diagram?,1
fbd_2849_q2,Basic Relational Reasoning,fbd_2849.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2849_q3,Comparative Reasoning,fbd_2849.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2849_q4,Compound Reasoning,fbd_2849.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 128.61}"
fbd_2849_q5,Extrapolative/Counterfactual Reasoning,fbd_2849.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2850_q1,Image Description,fbd_2850.png,How many force arrows are shown in this diagram?,2
fbd_2850_q2,Basic Relational Reasoning,fbd_2850.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2850_q3,Comparative Reasoning,fbd_2850.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2850_q4,Compound Reasoning,fbd_2850.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_2850_q5,Extrapolative/Counterfactual Reasoning,fbd_2850.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_2851_q1,Image Description,fbd_2851.png,How many force arrows are shown in this diagram?,4
fbd_2851_q2,Basic Relational Reasoning,fbd_2851.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2851_q3,Comparative Reasoning,fbd_2851.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2851_q4,Compound Reasoning,fbd_2851.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.61, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 126.0, 'magnitude': 88.570857}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 161.0, 'magnitude': 88.570857}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2851_q5,Extrapolative/Counterfactual Reasoning,fbd_2851.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2852_q1,Image Description,fbd_2852.png,How many force arrows are shown in this diagram?,2
fbd_2852_q2,Basic Relational Reasoning,fbd_2852.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2852_q3,Comparative Reasoning,fbd_2852.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2852_q4,Compound Reasoning,fbd_2852.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 67.2, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 67.1985}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 94.0779}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2852_q5,Extrapolative/Counterfactual Reasoning,fbd_2852.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2853_q1,Image Description,fbd_2853.png,How many force arrows are shown in this diagram?,4
fbd_2853_q2,Basic Relational Reasoning,fbd_2853.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2853_q3,Comparative Reasoning,fbd_2853.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2853_q4,Compound Reasoning,fbd_2853.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 83.68, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 83.6793}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 83.6793}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2853_q5,Extrapolative/Counterfactual Reasoning,fbd_2853.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2854_q1,Image Description,fbd_2854.png,How many force arrows are shown in this diagram?,4
fbd_2854_q2,Basic Relational Reasoning,fbd_2854.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2854_q3,Comparative Reasoning,fbd_2854.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2854_q4,Compound Reasoning,fbd_2854.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 134.89}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 188.846}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2854_q5,Extrapolative/Counterfactual Reasoning,fbd_2854.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2855_q1,Image Description,fbd_2855.png,How many force arrows are shown in this diagram?,2
fbd_2855_q2,Basic Relational Reasoning,fbd_2855.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2855_q3,Comparative Reasoning,fbd_2855.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2855_q4,Compound Reasoning,fbd_2855.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 139.01, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 139.0077}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 139.0077}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2855_q5,Extrapolative/Counterfactual Reasoning,fbd_2855.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2856_q1,Image Description,fbd_2856.png,How many force arrows are shown in this diagram?,3
fbd_2856_q2,Basic Relational Reasoning,fbd_2856.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2856_q3,Comparative Reasoning,fbd_2856.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2856_q4,Compound Reasoning,fbd_2856.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.53, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 62.0, 'magnitude': 137.20158}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 62.0, 'magnitude': 192.082212}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2856_q5,Extrapolative/Counterfactual Reasoning,fbd_2856.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (242 degrees; 0=right, 90=up)"
fbd_2857_q1,Image Description,fbd_2857.png,How many force arrows are shown in this diagram?,4
fbd_2857_q2,Basic Relational Reasoning,fbd_2857.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2857_q3,Comparative Reasoning,fbd_2857.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2857_q4,Compound Reasoning,fbd_2857.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.43}"
fbd_2857_q5,Extrapolative/Counterfactual Reasoning,fbd_2857.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2858_q1,Image Description,fbd_2858.png,How many force arrows are shown in this diagram?,2
fbd_2858_q2,Basic Relational Reasoning,fbd_2858.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2858_q3,Comparative Reasoning,fbd_2858.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2858_q4,Compound Reasoning,fbd_2858.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 153.23}"
fbd_2858_q5,Extrapolative/Counterfactual Reasoning,fbd_2858.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2859_q1,Image Description,fbd_2859.png,How many force arrows are shown in this diagram?,4
fbd_2859_q2,Basic Relational Reasoning,fbd_2859.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2859_q3,Comparative Reasoning,fbd_2859.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2859_q4,Compound Reasoning,fbd_2859.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 134.99}"
fbd_2859_q5,Extrapolative/Counterfactual Reasoning,fbd_2859.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2860_q1,Image Description,fbd_2860.png,How many force arrows are shown in this diagram?,4
fbd_2860_q2,Basic Relational Reasoning,fbd_2860.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2860_q3,Comparative Reasoning,fbd_2860.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2860_q4,Compound Reasoning,fbd_2860.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.74, 'net_force_N': 0.0}"
fbd_2860_q5,Extrapolative/Counterfactual Reasoning,fbd_2860.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2861_q1,Image Description,fbd_2861.png,How many force arrows are shown in this diagram?,2
fbd_2861_q2,Basic Relational Reasoning,fbd_2861.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2861_q3,Comparative Reasoning,fbd_2861.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2861_q4,Compound Reasoning,fbd_2861.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 110.36}"
fbd_2861_q5,Extrapolative/Counterfactual Reasoning,fbd_2861.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2862_q1,Image Description,fbd_2862.png,How many force arrows are shown in this diagram?,3
fbd_2862_q2,Basic Relational Reasoning,fbd_2862.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2862_q3,Comparative Reasoning,fbd_2862.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2862_q4,Compound Reasoning,fbd_2862.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}"
fbd_2862_q5,Extrapolative/Counterfactual Reasoning,fbd_2862.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (248 degrees; 0=right, 90=up)"
fbd_2863_q1,Image Description,fbd_2863.png,How many force arrows are shown in this diagram?,4
fbd_2863_q2,Basic Relational Reasoning,fbd_2863.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2863_q3,Comparative Reasoning,fbd_2863.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2863_q4,Compound Reasoning,fbd_2863.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 53.22, 'required_friction_coefficient': 0.38}"
fbd_2863_q5,Extrapolative/Counterfactual Reasoning,fbd_2863.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2864_q1,Image Description,fbd_2864.png,How many force arrows are shown in this diagram?,2
fbd_2864_q2,Basic Relational Reasoning,fbd_2864.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2864_q3,Comparative Reasoning,fbd_2864.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2864_q4,Compound Reasoning,fbd_2864.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 38.25, 'tension_magnitude': 106.64}"
fbd_2864_q5,Extrapolative/Counterfactual Reasoning,fbd_2864.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2865_q1,Image Description,fbd_2865.png,How many force arrows are shown in this diagram?,4
fbd_2865_q2,Basic Relational Reasoning,fbd_2865.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2865_q3,Comparative Reasoning,fbd_2865.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2865_q4,Compound Reasoning,fbd_2865.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 34.0, 'tension_magnitude': 187.82}"
fbd_2865_q5,Extrapolative/Counterfactual Reasoning,fbd_2865.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2866_q1,Image Description,fbd_2866.png,How many force arrows are shown in this diagram?,4
fbd_2866_q2,Basic Relational Reasoning,fbd_2866.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2866_q3,Comparative Reasoning,fbd_2866.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2866_q4,Compound Reasoning,fbd_2866.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.64, 'net_force_N': 56.17}"
fbd_2866_q5,Extrapolative/Counterfactual Reasoning,fbd_2866.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (344.9 degrees; 0=right, 90=up)"
fbd_2867_q1,Image Description,fbd_2867.png,How many force arrows are shown in this diagram?,2
fbd_2867_q2,Basic Relational Reasoning,fbd_2867.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2867_q3,Comparative Reasoning,fbd_2867.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2867_q4,Compound Reasoning,fbd_2867.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 18.56, 'support_force_magnitude': 46.48}"
fbd_2867_q5,Extrapolative/Counterfactual Reasoning,fbd_2867.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2868_q1,Image Description,fbd_2868.png,How many force arrows are shown in this diagram?,3
fbd_2868_q2,Basic Relational Reasoning,fbd_2868.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2868_q3,Comparative Reasoning,fbd_2868.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2868_q4,Compound Reasoning,fbd_2868.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 38.04, 'required_friction_coefficient': 0.18}"
fbd_2868_q5,Extrapolative/Counterfactual Reasoning,fbd_2868.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (259.9 degrees; 0=right, 90=up)"
fbd_2869_q1,Image Description,fbd_2869.png,How many force arrows are shown in this diagram?,3
fbd_2869_q2,Basic Relational Reasoning,fbd_2869.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2869_q3,Comparative Reasoning,fbd_2869.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2869_q4,Compound Reasoning,fbd_2869.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.57}"
fbd_2869_q5,Extrapolative/Counterfactual Reasoning,fbd_2869.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2870_q1,Image Description,fbd_2870.png,How many force arrows are shown in this diagram?,1
fbd_2870_q2,Basic Relational Reasoning,fbd_2870.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2870_q3,Comparative Reasoning,fbd_2870.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2870_q4,Compound Reasoning,fbd_2870.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 124.49}"
fbd_2870_q5,Extrapolative/Counterfactual Reasoning,fbd_2870.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2871_q1,Image Description,fbd_2871.png,How many force arrows are shown in this diagram?,3
fbd_2871_q2,Basic Relational Reasoning,fbd_2871.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2871_q3,Comparative Reasoning,fbd_2871.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2871_q4,Compound Reasoning,fbd_2871.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 164.12}"
fbd_2871_q5,Extrapolative/Counterfactual Reasoning,fbd_2871.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2872_q1,Image Description,fbd_2872.png,How many force arrows are shown in this diagram?,3
fbd_2872_q2,Basic Relational Reasoning,fbd_2872.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2872_q3,Comparative Reasoning,fbd_2872.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2872_q4,Compound Reasoning,fbd_2872.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.74, 'net_force_N': 0.0}"
fbd_2872_q5,Extrapolative/Counterfactual Reasoning,fbd_2872.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2873_q1,Image Description,fbd_2873.png,How many force arrows are shown in this diagram?,1
fbd_2873_q2,Basic Relational Reasoning,fbd_2873.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2873_q3,Comparative Reasoning,fbd_2873.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2873_q4,Compound Reasoning,fbd_2873.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 161.28}"
fbd_2873_q5,Extrapolative/Counterfactual Reasoning,fbd_2873.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2874_q1,Image Description,fbd_2874.png,How many force arrows are shown in this diagram?,2
fbd_2874_q2,Basic Relational Reasoning,fbd_2874.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2874_q3,Comparative Reasoning,fbd_2874.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2874_q4,Compound Reasoning,fbd_2874.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36}"
fbd_2874_q5,Extrapolative/Counterfactual Reasoning,fbd_2874.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_2875_q1,Image Description,fbd_2875.png,How many force arrows are shown in this diagram?,4
fbd_2875_q2,Basic Relational Reasoning,fbd_2875.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2875_q3,Comparative Reasoning,fbd_2875.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2875_q4,Compound Reasoning,fbd_2875.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.63, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 125.0, 'magnitude': 70.394322}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 160.0, 'magnitude': 70.394322}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2875_q5,Extrapolative/Counterfactual Reasoning,fbd_2875.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2876_q1,Image Description,fbd_2876.png,How many force arrows are shown in this diagram?,2
fbd_2876_q2,Basic Relational Reasoning,fbd_2876.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2876_q3,Comparative Reasoning,fbd_2876.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2876_q4,Compound Reasoning,fbd_2876.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 143.81, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 143.8146}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 201.34044}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2876_q5,Extrapolative/Counterfactual Reasoning,fbd_2876.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2877_q1,Image Description,fbd_2877.png,How many force arrows are shown in this diagram?,4
fbd_2877_q2,Basic Relational Reasoning,fbd_2877.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2877_q3,Comparative Reasoning,fbd_2877.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2877_q4,Compound Reasoning,fbd_2877.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 118.6, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 118.6029}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 118.6029}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2877_q5,Extrapolative/Counterfactual Reasoning,fbd_2877.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2878_q1,Image Description,fbd_2878.png,How many force arrows are shown in this diagram?,4
fbd_2878_q2,Basic Relational Reasoning,fbd_2878.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2878_q3,Comparative Reasoning,fbd_2878.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2878_q4,Compound Reasoning,fbd_2878.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.65, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 128.39}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 179.746}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2878_q5,Extrapolative/Counterfactual Reasoning,fbd_2878.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2879_q1,Image Description,fbd_2879.png,How many force arrows are shown in this diagram?,2
fbd_2879_q2,Basic Relational Reasoning,fbd_2879.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2879_q3,Comparative Reasoning,fbd_2879.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2879_q4,Compound Reasoning,fbd_2879.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 63.27, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 63.2745}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 63.2745}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2879_q5,Extrapolative/Counterfactual Reasoning,fbd_2879.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2880_q1,Image Description,fbd_2880.png,How many force arrows are shown in this diagram?,3
fbd_2880_q2,Basic Relational Reasoning,fbd_2880.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2880_q3,Comparative Reasoning,fbd_2880.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2880_q4,Compound Reasoning,fbd_2880.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.34, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 71.0, 'magnitude': 128.373435}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 71.0, 'magnitude': 179.722809}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2880_q5,Extrapolative/Counterfactual Reasoning,fbd_2880.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (251 degrees; 0=right, 90=up)"
fbd_2881_q1,Image Description,fbd_2881.png,How many force arrows are shown in this diagram?,4
fbd_2881_q2,Basic Relational Reasoning,fbd_2881.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2881_q3,Comparative Reasoning,fbd_2881.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2881_q4,Compound Reasoning,fbd_2881.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_2881_q5,Extrapolative/Counterfactual Reasoning,fbd_2881.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2882_q1,Image Description,fbd_2882.png,How many force arrows are shown in this diagram?,2
fbd_2882_q2,Basic Relational Reasoning,fbd_2882.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2882_q3,Comparative Reasoning,fbd_2882.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2882_q4,Compound Reasoning,fbd_2882.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 82.6}"
fbd_2882_q5,Extrapolative/Counterfactual Reasoning,fbd_2882.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2883_q1,Image Description,fbd_2883.png,How many force arrows are shown in this diagram?,4
fbd_2883_q2,Basic Relational Reasoning,fbd_2883.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2883_q3,Comparative Reasoning,fbd_2883.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2883_q4,Compound Reasoning,fbd_2883.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 202.87}"
fbd_2883_q5,Extrapolative/Counterfactual Reasoning,fbd_2883.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2884_q1,Image Description,fbd_2884.png,How many force arrows are shown in this diagram?,4
fbd_2884_q2,Basic Relational Reasoning,fbd_2884.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2884_q3,Comparative Reasoning,fbd_2884.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2884_q4,Compound Reasoning,fbd_2884.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 0.0}"
fbd_2884_q5,Extrapolative/Counterfactual Reasoning,fbd_2884.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2885_q1,Image Description,fbd_2885.png,How many force arrows are shown in this diagram?,2
fbd_2885_q2,Basic Relational Reasoning,fbd_2885.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2885_q3,Comparative Reasoning,fbd_2885.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2885_q4,Compound Reasoning,fbd_2885.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 68.18}"
fbd_2885_q5,Extrapolative/Counterfactual Reasoning,fbd_2885.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2886_q1,Image Description,fbd_2886.png,How many force arrows are shown in this diagram?,3
fbd_2886_q2,Basic Relational Reasoning,fbd_2886.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2886_q3,Comparative Reasoning,fbd_2886.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2886_q4,Compound Reasoning,fbd_2886.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42}"
fbd_2886_q5,Extrapolative/Counterfactual Reasoning,fbd_2886.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_2887_q1,Image Description,fbd_2887.png,How many force arrows are shown in this diagram?,4
fbd_2887_q2,Basic Relational Reasoning,fbd_2887.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2887_q3,Comparative Reasoning,fbd_2887.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2887_q4,Compound Reasoning,fbd_2887.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 41.66, 'required_friction_coefficient': 0.41}"
fbd_2887_q5,Extrapolative/Counterfactual Reasoning,fbd_2887.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2888_q1,Image Description,fbd_2888.png,How many force arrows are shown in this diagram?,2
fbd_2888_q2,Basic Relational Reasoning,fbd_2888.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2888_q3,Comparative Reasoning,fbd_2888.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2888_q4,Compound Reasoning,fbd_2888.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 24.63, 'tension_magnitude': 80.43}"
fbd_2888_q5,Extrapolative/Counterfactual Reasoning,fbd_2888.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2889_q1,Image Description,fbd_2889.png,How many force arrows are shown in this diagram?,4
fbd_2889_q2,Basic Relational Reasoning,fbd_2889.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2889_q3,Comparative Reasoning,fbd_2889.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2889_q4,Compound Reasoning,fbd_2889.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 28.96, 'tension_magnitude': 175.43}"
fbd_2889_q5,Extrapolative/Counterfactual Reasoning,fbd_2889.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2890_q1,Image Description,fbd_2890.png,How many force arrows are shown in this diagram?,4
fbd_2890_q2,Basic Relational Reasoning,fbd_2890.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2890_q3,Comparative Reasoning,fbd_2890.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2890_q4,Compound Reasoning,fbd_2890.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.73, 'net_force_N': 68.25}"
fbd_2890_q5,Extrapolative/Counterfactual Reasoning,fbd_2890.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (333.7 degrees; 0=right, 90=up)"
fbd_2891_q1,Image Description,fbd_2891.png,How many force arrows are shown in this diagram?,2
fbd_2891_q2,Basic Relational Reasoning,fbd_2891.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2891_q3,Comparative Reasoning,fbd_2891.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2891_q4,Compound Reasoning,fbd_2891.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 21.06, 'support_force_magnitude': 223.64}"
fbd_2891_q5,Extrapolative/Counterfactual Reasoning,fbd_2891.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2892_q1,Image Description,fbd_2892.png,How many force arrows are shown in this diagram?,3
fbd_2892_q2,Basic Relational Reasoning,fbd_2892.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2892_q3,Comparative Reasoning,fbd_2892.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2892_q4,Compound Reasoning,fbd_2892.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 32.26, 'required_friction_coefficient': 0.29}"
fbd_2892_q5,Extrapolative/Counterfactual Reasoning,fbd_2892.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253.6 degrees; 0=right, 90=up)"
fbd_2893_q1,Image Description,fbd_2893.png,How many force arrows are shown in this diagram?,3
fbd_2893_q2,Basic Relational Reasoning,fbd_2893.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2893_q3,Comparative Reasoning,fbd_2893.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2893_q4,Compound Reasoning,fbd_2893.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.62}"
fbd_2893_q5,Extrapolative/Counterfactual Reasoning,fbd_2893.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2894_q1,Image Description,fbd_2894.png,How many force arrows are shown in this diagram?,1
fbd_2894_q2,Basic Relational Reasoning,fbd_2894.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2894_q3,Comparative Reasoning,fbd_2894.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2894_q4,Compound Reasoning,fbd_2894.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 147.35}"
fbd_2894_q5,Extrapolative/Counterfactual Reasoning,fbd_2894.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2895_q1,Image Description,fbd_2895.png,How many force arrows are shown in this diagram?,3
fbd_2895_q2,Basic Relational Reasoning,fbd_2895.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2895_q3,Comparative Reasoning,fbd_2895.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2895_q4,Compound Reasoning,fbd_2895.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 149.31}"
fbd_2895_q5,Extrapolative/Counterfactual Reasoning,fbd_2895.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2896_q1,Image Description,fbd_2896.png,How many force arrows are shown in this diagram?,3
fbd_2896_q2,Basic Relational Reasoning,fbd_2896.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2896_q3,Comparative Reasoning,fbd_2896.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2896_q4,Compound Reasoning,fbd_2896.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 0.0}"
fbd_2896_q5,Extrapolative/Counterfactual Reasoning,fbd_2896.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2897_q1,Image Description,fbd_2897.png,How many force arrows are shown in this diagram?,1
fbd_2897_q2,Basic Relational Reasoning,fbd_2897.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2897_q3,Comparative Reasoning,fbd_2897.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2897_q4,Compound Reasoning,fbd_2897.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 95.26}"
fbd_2897_q5,Extrapolative/Counterfactual Reasoning,fbd_2897.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2898_q1,Image Description,fbd_2898.png,How many force arrows are shown in this diagram?,2
fbd_2898_q2,Basic Relational Reasoning,fbd_2898.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2898_q3,Comparative Reasoning,fbd_2898.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2898_q4,Compound Reasoning,fbd_2898.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36}"
fbd_2898_q5,Extrapolative/Counterfactual Reasoning,fbd_2898.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_2899_q1,Image Description,fbd_2899.png,How many force arrows are shown in this diagram?,4
fbd_2899_q2,Basic Relational Reasoning,fbd_2899.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2899_q3,Comparative Reasoning,fbd_2899.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2899_q4,Compound Reasoning,fbd_2899.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.46, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 119.0, 'magnitude': 123.380678}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 154.0, 'magnitude': 123.380678}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2899_q5,Extrapolative/Counterfactual Reasoning,fbd_2899.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2900_q1,Image Description,fbd_2900.png,How many force arrows are shown in this diagram?,2
fbd_2900_q2,Basic Relational Reasoning,fbd_2900.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2900_q3,Comparative Reasoning,fbd_2900.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2900_q4,Compound Reasoning,fbd_2900.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 204.73, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 204.7347}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 286.62858}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2900_q5,Extrapolative/Counterfactual Reasoning,fbd_2900.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2901_q1,Image Description,fbd_2901.png,How many force arrows are shown in this diagram?,4
fbd_2901_q2,Basic Relational Reasoning,fbd_2901.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2901_q3,Comparative Reasoning,fbd_2901.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2901_q4,Compound Reasoning,fbd_2901.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 75.14, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 75.1446}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 75.1446}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2901_q5,Extrapolative/Counterfactual Reasoning,fbd_2901.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2902_q1,Image Description,fbd_2902.png,How many force arrows are shown in this diagram?,4
fbd_2902_q2,Basic Relational Reasoning,fbd_2902.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2902_q3,Comparative Reasoning,fbd_2902.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2902_q4,Compound Reasoning,fbd_2902.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.6, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 353.23}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 494.522}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2902_q5,Extrapolative/Counterfactual Reasoning,fbd_2902.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2903_q1,Image Description,fbd_2903.png,How many force arrows are shown in this diagram?,2
fbd_2903_q2,Basic Relational Reasoning,fbd_2903.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2903_q3,Comparative Reasoning,fbd_2903.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2903_q4,Compound Reasoning,fbd_2903.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 189.82, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 189.8235}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 189.8235}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2903_q5,Extrapolative/Counterfactual Reasoning,fbd_2903.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2904_q1,Image Description,fbd_2904.png,How many force arrows are shown in this diagram?,3
fbd_2904_q2,Basic Relational Reasoning,fbd_2904.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2904_q3,Comparative Reasoning,fbd_2904.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2904_q4,Compound Reasoning,fbd_2904.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 69.0, 'magnitude': 156.792219}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 69.0, 'magnitude': 219.509107}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2904_q5,Extrapolative/Counterfactual Reasoning,fbd_2904.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_2905_q1,Image Description,fbd_2905.png,How many force arrows are shown in this diagram?,4
fbd_2905_q2,Basic Relational Reasoning,fbd_2905.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2905_q3,Comparative Reasoning,fbd_2905.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2905_q4,Compound Reasoning,fbd_2905.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.71}"
fbd_2905_q5,Extrapolative/Counterfactual Reasoning,fbd_2905.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2906_q1,Image Description,fbd_2906.png,How many force arrows are shown in this diagram?,2
fbd_2906_q2,Basic Relational Reasoning,fbd_2906.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2906_q3,Comparative Reasoning,fbd_2906.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2906_q4,Compound Reasoning,fbd_2906.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 77.89}"
fbd_2906_q5,Extrapolative/Counterfactual Reasoning,fbd_2906.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2907_q1,Image Description,fbd_2907.png,How many force arrows are shown in this diagram?,4
fbd_2907_q2,Basic Relational Reasoning,fbd_2907.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2907_q3,Comparative Reasoning,fbd_2907.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2907_q4,Compound Reasoning,fbd_2907.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 144.11}"
fbd_2907_q5,Extrapolative/Counterfactual Reasoning,fbd_2907.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2908_q1,Image Description,fbd_2908.png,How many force arrows are shown in this diagram?,4
fbd_2908_q2,Basic Relational Reasoning,fbd_2908.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2908_q3,Comparative Reasoning,fbd_2908.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2908_q4,Compound Reasoning,fbd_2908.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 0.0}"
fbd_2908_q5,Extrapolative/Counterfactual Reasoning,fbd_2908.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2909_q1,Image Description,fbd_2909.png,How many force arrows are shown in this diagram?,2
fbd_2909_q2,Basic Relational Reasoning,fbd_2909.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2909_q3,Comparative Reasoning,fbd_2909.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2909_q4,Compound Reasoning,fbd_2909.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 172.85}"
fbd_2909_q5,Extrapolative/Counterfactual Reasoning,fbd_2909.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2910_q1,Image Description,fbd_2910.png,How many force arrows are shown in this diagram?,3
fbd_2910_q2,Basic Relational Reasoning,fbd_2910.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2910_q3,Comparative Reasoning,fbd_2910.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2910_q4,Compound Reasoning,fbd_2910.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_2910_q5,Extrapolative/Counterfactual Reasoning,fbd_2910.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_2911_q1,Image Description,fbd_2911.png,How many force arrows are shown in this diagram?,4
fbd_2911_q2,Basic Relational Reasoning,fbd_2911.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2911_q3,Comparative Reasoning,fbd_2911.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2911_q4,Compound Reasoning,fbd_2911.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 61.76, 'required_friction_coefficient': 0.58}"
fbd_2911_q5,Extrapolative/Counterfactual Reasoning,fbd_2911.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2912_q1,Image Description,fbd_2912.png,How many force arrows are shown in this diagram?,2
fbd_2912_q2,Basic Relational Reasoning,fbd_2912.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2912_q3,Comparative Reasoning,fbd_2912.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2912_q4,Compound Reasoning,fbd_2912.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 21.42, 'tension_magnitude': 169.58}"
fbd_2912_q5,Extrapolative/Counterfactual Reasoning,fbd_2912.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2913_q1,Image Description,fbd_2913.png,How many force arrows are shown in this diagram?,4
fbd_2913_q2,Basic Relational Reasoning,fbd_2913.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2913_q3,Comparative Reasoning,fbd_2913.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2913_q4,Compound Reasoning,fbd_2913.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 17.85, 'tension_magnitude': 121.05}"
fbd_2913_q5,Extrapolative/Counterfactual Reasoning,fbd_2913.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2914_q1,Image Description,fbd_2914.png,How many force arrows are shown in this diagram?,4
fbd_2914_q2,Basic Relational Reasoning,fbd_2914.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2914_q3,Comparative Reasoning,fbd_2914.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2914_q4,Compound Reasoning,fbd_2914.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.57, 'net_force_N': 72.16}"
fbd_2914_q5,Extrapolative/Counterfactual Reasoning,fbd_2914.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (346.9 degrees; 0=right, 90=up)"
fbd_2915_q1,Image Description,fbd_2915.png,How many force arrows are shown in this diagram?,2
fbd_2915_q2,Basic Relational Reasoning,fbd_2915.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2915_q3,Comparative Reasoning,fbd_2915.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2915_q4,Compound Reasoning,fbd_2915.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 34.49, 'support_force_magnitude': 223.53}"
fbd_2915_q5,Extrapolative/Counterfactual Reasoning,fbd_2915.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2916_q1,Image Description,fbd_2916.png,How many force arrows are shown in this diagram?,3
fbd_2916_q2,Basic Relational Reasoning,fbd_2916.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2916_q3,Comparative Reasoning,fbd_2916.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2916_q4,Compound Reasoning,fbd_2916.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 33.52, 'required_friction_coefficient': 0.06}"
fbd_2916_q5,Extrapolative/Counterfactual Reasoning,fbd_2916.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (266.8 degrees; 0=right, 90=up)"
fbd_2917_q1,Image Description,fbd_2917.png,How many force arrows are shown in this diagram?,3
fbd_2917_q2,Basic Relational Reasoning,fbd_2917.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2917_q3,Comparative Reasoning,fbd_2917.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2917_q4,Compound Reasoning,fbd_2917.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.57}"
fbd_2917_q5,Extrapolative/Counterfactual Reasoning,fbd_2917.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2918_q1,Image Description,fbd_2918.png,How many force arrows are shown in this diagram?,1
fbd_2918_q2,Basic Relational Reasoning,fbd_2918.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2918_q3,Comparative Reasoning,fbd_2918.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2918_q4,Compound Reasoning,fbd_2918.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 214.25}"
fbd_2918_q5,Extrapolative/Counterfactual Reasoning,fbd_2918.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2919_q1,Image Description,fbd_2919.png,How many force arrows are shown in this diagram?,3
fbd_2919_q2,Basic Relational Reasoning,fbd_2919.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2919_q3,Comparative Reasoning,fbd_2919.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2919_q4,Compound Reasoning,fbd_2919.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 76.32}"
fbd_2919_q5,Extrapolative/Counterfactual Reasoning,fbd_2919.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2920_q1,Image Description,fbd_2920.png,How many force arrows are shown in this diagram?,3
fbd_2920_q2,Basic Relational Reasoning,fbd_2920.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2920_q3,Comparative Reasoning,fbd_2920.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2920_q4,Compound Reasoning,fbd_2920.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 0.0}"
fbd_2920_q5,Extrapolative/Counterfactual Reasoning,fbd_2920.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2921_q1,Image Description,fbd_2921.png,How many force arrows are shown in this diagram?,1
fbd_2921_q2,Basic Relational Reasoning,fbd_2921.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2921_q3,Comparative Reasoning,fbd_2921.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2921_q4,Compound Reasoning,fbd_2921.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 69.36}"
fbd_2921_q5,Extrapolative/Counterfactual Reasoning,fbd_2921.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2922_q1,Image Description,fbd_2922.png,How many force arrows are shown in this diagram?,2
fbd_2922_q2,Basic Relational Reasoning,fbd_2922.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2922_q3,Comparative Reasoning,fbd_2922.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2922_q4,Compound Reasoning,fbd_2922.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.31}"
fbd_2922_q5,Extrapolative/Counterfactual Reasoning,fbd_2922.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (253 degrees; 0=right, 90=up)"
fbd_2923_q1,Image Description,fbd_2923.png,How many force arrows are shown in this diagram?,4
fbd_2923_q2,Basic Relational Reasoning,fbd_2923.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2923_q3,Comparative Reasoning,fbd_2923.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2923_q4,Compound Reasoning,fbd_2923.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.62, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 126.0, 'magnitude': 149.364115}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 161.0, 'magnitude': 149.364115}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2923_q5,Extrapolative/Counterfactual Reasoning,fbd_2923.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2924_q1,Image Description,fbd_2924.png,How many force arrows are shown in this diagram?,2
fbd_2924_q2,Basic Relational Reasoning,fbd_2924.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2924_q3,Comparative Reasoning,fbd_2924.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2924_q4,Compound Reasoning,fbd_2924.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 121.64, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 121.644}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 170.3016}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2924_q5,Extrapolative/Counterfactual Reasoning,fbd_2924.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2925_q1,Image Description,fbd_2925.png,How many force arrows are shown in this diagram?,4
fbd_2925_q2,Basic Relational Reasoning,fbd_2925.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2925_q3,Comparative Reasoning,fbd_2925.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2925_q4,Compound Reasoning,fbd_2925.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 158.92, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 158.922}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 158.922}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2925_q5,Extrapolative/Counterfactual Reasoning,fbd_2925.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2926_q1,Image Description,fbd_2926.png,How many force arrows are shown in this diagram?,4
fbd_2926_q2,Basic Relational Reasoning,fbd_2926.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2926_q3,Comparative Reasoning,fbd_2926.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2926_q4,Compound Reasoning,fbd_2926.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 317.78}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 444.892}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2926_q5,Extrapolative/Counterfactual Reasoning,fbd_2926.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2927_q1,Image Description,fbd_2927.png,How many force arrows are shown in this diagram?,2
fbd_2927_q2,Basic Relational Reasoning,fbd_2927.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2927_q3,Comparative Reasoning,fbd_2927.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2927_q4,Compound Reasoning,fbd_2927.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 151.17, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 151.1721}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 151.1721}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2927_q5,Extrapolative/Counterfactual Reasoning,fbd_2927.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2928_q1,Image Description,fbd_2928.png,How many force arrows are shown in this diagram?,3
fbd_2928_q2,Basic Relational Reasoning,fbd_2928.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2928_q3,Comparative Reasoning,fbd_2928.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2928_q4,Compound Reasoning,fbd_2928.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 65.0, 'magnitude': 185.374835}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 65.0, 'magnitude': 259.524769}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2928_q5,Extrapolative/Counterfactual Reasoning,fbd_2928.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_2929_q1,Image Description,fbd_2929.png,How many force arrows are shown in this diagram?,4
fbd_2929_q2,Basic Relational Reasoning,fbd_2929.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2929_q3,Comparative Reasoning,fbd_2929.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2929_q4,Compound Reasoning,fbd_2929.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.67}"
fbd_2929_q5,Extrapolative/Counterfactual Reasoning,fbd_2929.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2930_q1,Image Description,fbd_2930.png,How many force arrows are shown in this diagram?,2
fbd_2930_q2,Basic Relational Reasoning,fbd_2930.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2930_q3,Comparative Reasoning,fbd_2930.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2930_q4,Compound Reasoning,fbd_2930.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 183.64}"
fbd_2930_q5,Extrapolative/Counterfactual Reasoning,fbd_2930.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2931_q1,Image Description,fbd_2931.png,How many force arrows are shown in this diagram?,4
fbd_2931_q2,Basic Relational Reasoning,fbd_2931.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2931_q3,Comparative Reasoning,fbd_2931.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2931_q4,Compound Reasoning,fbd_2931.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 112.62}"
fbd_2931_q5,Extrapolative/Counterfactual Reasoning,fbd_2931.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2932_q1,Image Description,fbd_2932.png,How many force arrows are shown in this diagram?,4
fbd_2932_q2,Basic Relational Reasoning,fbd_2932.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2932_q3,Comparative Reasoning,fbd_2932.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2932_q4,Compound Reasoning,fbd_2932.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.73, 'net_force_N': 0.0}"
fbd_2932_q5,Extrapolative/Counterfactual Reasoning,fbd_2932.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2933_q1,Image Description,fbd_2933.png,How many force arrows are shown in this diagram?,2
fbd_2933_q2,Basic Relational Reasoning,fbd_2933.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2933_q3,Comparative Reasoning,fbd_2933.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2933_q4,Compound Reasoning,fbd_2933.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 104.57}"
fbd_2933_q5,Extrapolative/Counterfactual Reasoning,fbd_2933.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2934_q1,Image Description,fbd_2934.png,How many force arrows are shown in this diagram?,3
fbd_2934_q2,Basic Relational Reasoning,fbd_2934.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2934_q3,Comparative Reasoning,fbd_2934.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2934_q4,Compound Reasoning,fbd_2934.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55}"
fbd_2934_q5,Extrapolative/Counterfactual Reasoning,fbd_2934.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (241 degrees; 0=right, 90=up)"
fbd_2935_q1,Image Description,fbd_2935.png,How many force arrows are shown in this diagram?,4
fbd_2935_q2,Basic Relational Reasoning,fbd_2935.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2935_q3,Comparative Reasoning,fbd_2935.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2935_q4,Compound Reasoning,fbd_2935.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 22.31, 'required_friction_coefficient': 0.51}"
fbd_2935_q5,Extrapolative/Counterfactual Reasoning,fbd_2935.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2936_q1,Image Description,fbd_2936.png,How many force arrows are shown in this diagram?,2
fbd_2936_q2,Basic Relational Reasoning,fbd_2936.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2936_q3,Comparative Reasoning,fbd_2936.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2936_q4,Compound Reasoning,fbd_2936.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 29.7, 'tension_magnitude': 122.85}"
fbd_2936_q5,Extrapolative/Counterfactual Reasoning,fbd_2936.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2937_q1,Image Description,fbd_2937.png,How many force arrows are shown in this diagram?,4
fbd_2937_q2,Basic Relational Reasoning,fbd_2937.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2937_q3,Comparative Reasoning,fbd_2937.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2937_q4,Compound Reasoning,fbd_2937.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 27.56, 'tension_magnitude': 194.53}"
fbd_2937_q5,Extrapolative/Counterfactual Reasoning,fbd_2937.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2938_q1,Image Description,fbd_2938.png,How many force arrows are shown in this diagram?,4
fbd_2938_q2,Basic Relational Reasoning,fbd_2938.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2938_q3,Comparative Reasoning,fbd_2938.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2938_q4,Compound Reasoning,fbd_2938.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.67, 'net_force_N': 39.77}"
fbd_2938_q5,Extrapolative/Counterfactual Reasoning,fbd_2938.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (339.5 degrees; 0=right, 90=up)"
fbd_2939_q1,Image Description,fbd_2939.png,How many force arrows are shown in this diagram?,2
fbd_2939_q2,Basic Relational Reasoning,fbd_2939.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2939_q3,Comparative Reasoning,fbd_2939.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2939_q4,Compound Reasoning,fbd_2939.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 57.45, 'support_force_magnitude': 260.91}"
fbd_2939_q5,Extrapolative/Counterfactual Reasoning,fbd_2939.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2940_q1,Image Description,fbd_2940.png,How many force arrows are shown in this diagram?,3
fbd_2940_q2,Basic Relational Reasoning,fbd_2940.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2940_q3,Comparative Reasoning,fbd_2940.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2940_q4,Compound Reasoning,fbd_2940.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 39.88, 'required_friction_coefficient': 0.05}"
fbd_2940_q5,Extrapolative/Counterfactual Reasoning,fbd_2940.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (267.2 degrees; 0=right, 90=up)"
fbd_2941_q1,Image Description,fbd_2941.png,How many force arrows are shown in this diagram?,3
fbd_2941_q2,Basic Relational Reasoning,fbd_2941.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2941_q3,Comparative Reasoning,fbd_2941.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2941_q4,Compound Reasoning,fbd_2941.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.54}"
fbd_2941_q5,Extrapolative/Counterfactual Reasoning,fbd_2941.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2942_q1,Image Description,fbd_2942.png,How many force arrows are shown in this diagram?,1
fbd_2942_q2,Basic Relational Reasoning,fbd_2942.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2942_q3,Comparative Reasoning,fbd_2942.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2942_q4,Compound Reasoning,fbd_2942.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 157.65}"
fbd_2942_q5,Extrapolative/Counterfactual Reasoning,fbd_2942.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2943_q1,Image Description,fbd_2943.png,How many force arrows are shown in this diagram?,3
fbd_2943_q2,Basic Relational Reasoning,fbd_2943.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2943_q3,Comparative Reasoning,fbd_2943.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2943_q4,Compound Reasoning,fbd_2943.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 201.69}"
fbd_2943_q5,Extrapolative/Counterfactual Reasoning,fbd_2943.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2944_q1,Image Description,fbd_2944.png,How many force arrows are shown in this diagram?,3
fbd_2944_q2,Basic Relational Reasoning,fbd_2944.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2944_q3,Comparative Reasoning,fbd_2944.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2944_q4,Compound Reasoning,fbd_2944.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.55, 'net_force_N': 0.0}"
fbd_2944_q5,Extrapolative/Counterfactual Reasoning,fbd_2944.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2945_q1,Image Description,fbd_2945.png,How many force arrows are shown in this diagram?,1
fbd_2945_q2,Basic Relational Reasoning,fbd_2945.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2945_q3,Comparative Reasoning,fbd_2945.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2945_q4,Compound Reasoning,fbd_2945.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 175.4}"
fbd_2945_q5,Extrapolative/Counterfactual Reasoning,fbd_2945.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2946_q1,Image Description,fbd_2946.png,How many force arrows are shown in this diagram?,2
fbd_2946_q2,Basic Relational Reasoning,fbd_2946.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2946_q3,Comparative Reasoning,fbd_2946.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2946_q4,Compound Reasoning,fbd_2946.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36}"
fbd_2946_q5,Extrapolative/Counterfactual Reasoning,fbd_2946.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"
fbd_2947_q1,Image Description,fbd_2947.png,How many force arrows are shown in this diagram?,4
fbd_2947_q2,Basic Relational Reasoning,fbd_2947.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2947_q3,Comparative Reasoning,fbd_2947.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2947_q4,Compound Reasoning,fbd_2947.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.55, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 122.0, 'magnitude': 82.27839}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 157.0, 'magnitude': 82.27839}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2947_q5,Extrapolative/Counterfactual Reasoning,fbd_2947.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2948_q1,Image Description,fbd_2948.png,How many force arrows are shown in this diagram?,2
fbd_2948_q2,Basic Relational Reasoning,fbd_2948.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2948_q3,Comparative Reasoning,fbd_2948.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2948_q4,Compound Reasoning,fbd_2948.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 102.61, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 102.6126}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 143.65764}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2948_q5,Extrapolative/Counterfactual Reasoning,fbd_2948.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2949_q1,Image Description,fbd_2949.png,How many force arrows are shown in this diagram?,4
fbd_2949_q2,Basic Relational Reasoning,fbd_2949.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2949_q3,Comparative Reasoning,fbd_2949.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2949_q4,Compound Reasoning,fbd_2949.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 179.52, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 179.523}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 179.523}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2949_q5,Extrapolative/Counterfactual Reasoning,fbd_2949.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2950_q1,Image Description,fbd_2950.png,How many force arrows are shown in this diagram?,4
fbd_2950_q2,Basic Relational Reasoning,fbd_2950.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2950_q3,Comparative Reasoning,fbd_2950.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2950_q4,Compound Reasoning,fbd_2950.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.53, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 392.57}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 549.598}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2950_q5,Extrapolative/Counterfactual Reasoning,fbd_2950.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2951_q1,Image Description,fbd_2951.png,How many force arrows are shown in this diagram?,2
fbd_2951_q2,Basic Relational Reasoning,fbd_2951.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2951_q3,Comparative Reasoning,fbd_2951.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2951_q4,Compound Reasoning,fbd_2951.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 175.4, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 175.4028}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 175.4028}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2951_q5,Extrapolative/Counterfactual Reasoning,fbd_2951.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2952_q1,Image Description,fbd_2952.png,How many force arrows are shown in this diagram?,3
fbd_2952_q2,Basic Relational Reasoning,fbd_2952.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2952_q3,Comparative Reasoning,fbd_2952.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2952_q4,Compound Reasoning,fbd_2952.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 60.0, 'magnitude': 67.031146}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 60.0, 'magnitude': 93.843604}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2952_q5,Extrapolative/Counterfactual Reasoning,fbd_2952.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (240 degrees; 0=right, 90=up)"
fbd_2953_q1,Image Description,fbd_2953.png,How many force arrows are shown in this diagram?,4
fbd_2953_q2,Basic Relational Reasoning,fbd_2953.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2953_q3,Comparative Reasoning,fbd_2953.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2953_q4,Compound Reasoning,fbd_2953.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.62}"
fbd_2953_q5,Extrapolative/Counterfactual Reasoning,fbd_2953.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2954_q1,Image Description,fbd_2954.png,How many force arrows are shown in this diagram?,2
fbd_2954_q2,Basic Relational Reasoning,fbd_2954.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2954_q3,Comparative Reasoning,fbd_2954.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2954_q4,Compound Reasoning,fbd_2954.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 201.69}"
fbd_2954_q5,Extrapolative/Counterfactual Reasoning,fbd_2954.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2955_q1,Image Description,fbd_2955.png,How many force arrows are shown in this diagram?,4
fbd_2955_q2,Basic Relational Reasoning,fbd_2955.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2955_q3,Comparative Reasoning,fbd_2955.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2955_q4,Compound Reasoning,fbd_2955.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 160.88}"
fbd_2955_q5,Extrapolative/Counterfactual Reasoning,fbd_2955.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2956_q1,Image Description,fbd_2956.png,How many force arrows are shown in this diagram?,4
fbd_2956_q2,Basic Relational Reasoning,fbd_2956.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2956_q3,Comparative Reasoning,fbd_2956.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2956_q4,Compound Reasoning,fbd_2956.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.67, 'net_force_N': 0.0}"
fbd_2956_q5,Extrapolative/Counterfactual Reasoning,fbd_2956.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2957_q1,Image Description,fbd_2957.png,How many force arrows are shown in this diagram?,2
fbd_2957_q2,Basic Relational Reasoning,fbd_2957.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2957_q3,Comparative Reasoning,fbd_2957.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2957_q4,Compound Reasoning,fbd_2957.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 63.37}"
fbd_2957_q5,Extrapolative/Counterfactual Reasoning,fbd_2957.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2958_q1,Image Description,fbd_2958.png,How many force arrows are shown in this diagram?,3
fbd_2958_q2,Basic Relational Reasoning,fbd_2958.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2958_q3,Comparative Reasoning,fbd_2958.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2958_q4,Compound Reasoning,fbd_2958.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.51}"
fbd_2958_q5,Extrapolative/Counterfactual Reasoning,fbd_2958.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (243 degrees; 0=right, 90=up)"
fbd_2959_q1,Image Description,fbd_2959.png,How many force arrows are shown in this diagram?,4
fbd_2959_q2,Basic Relational Reasoning,fbd_2959.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2959_q3,Comparative Reasoning,fbd_2959.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2959_q4,Compound Reasoning,fbd_2959.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 53.28, 'required_friction_coefficient': 0.43}"
fbd_2959_q5,Extrapolative/Counterfactual Reasoning,fbd_2959.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2960_q1,Image Description,fbd_2960.png,How many force arrows are shown in this diagram?,2
fbd_2960_q2,Basic Relational Reasoning,fbd_2960.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2960_q3,Comparative Reasoning,fbd_2960.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2960_q4,Compound Reasoning,fbd_2960.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 13.74, 'tension_magnitude': 56.11}"
fbd_2960_q5,Extrapolative/Counterfactual Reasoning,fbd_2960.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2961_q1,Image Description,fbd_2961.png,How many force arrows are shown in this diagram?,4
fbd_2961_q2,Basic Relational Reasoning,fbd_2961.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2961_q3,Comparative Reasoning,fbd_2961.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2961_q4,Compound Reasoning,fbd_2961.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 21.26, 'tension_magnitude': 129.76}"
fbd_2961_q5,Extrapolative/Counterfactual Reasoning,fbd_2961.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2962_q1,Image Description,fbd_2962.png,How many force arrows are shown in this diagram?,4
fbd_2962_q2,Basic Relational Reasoning,fbd_2962.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2962_q3,Comparative Reasoning,fbd_2962.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2962_q4,Compound Reasoning,fbd_2962.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.69, 'net_force_N': 35.82}"
fbd_2962_q5,Extrapolative/Counterfactual Reasoning,fbd_2962.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (343.3 degrees; 0=right, 90=up)"
fbd_2963_q1,Image Description,fbd_2963.png,How many force arrows are shown in this diagram?,2
fbd_2963_q2,Basic Relational Reasoning,fbd_2963.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2963_q3,Comparative Reasoning,fbd_2963.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2963_q4,Compound Reasoning,fbd_2963.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 22.43, 'support_force_magnitude': 152.19}"
fbd_2963_q5,Extrapolative/Counterfactual Reasoning,fbd_2963.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2964_q1,Image Description,fbd_2964.png,How many force arrows are shown in this diagram?,3
fbd_2964_q2,Basic Relational Reasoning,fbd_2964.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2964_q3,Comparative Reasoning,fbd_2964.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2964_q4,Compound Reasoning,fbd_2964.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 28.62, 'required_friction_coefficient': 0.11}"
fbd_2964_q5,Extrapolative/Counterfactual Reasoning,fbd_2964.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (264 degrees; 0=right, 90=up)"
fbd_2965_q1,Image Description,fbd_2965.png,How many force arrows are shown in this diagram?,3
fbd_2965_q2,Basic Relational Reasoning,fbd_2965.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2965_q3,Comparative Reasoning,fbd_2965.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2965_q4,Compound Reasoning,fbd_2965.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.72}"
fbd_2965_q5,Extrapolative/Counterfactual Reasoning,fbd_2965.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2966_q1,Image Description,fbd_2966.png,How many force arrows are shown in this diagram?,1
fbd_2966_q2,Basic Relational Reasoning,fbd_2966.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2966_q3,Comparative Reasoning,fbd_2966.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2966_q4,Compound Reasoning,fbd_2966.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 152.55}"
fbd_2966_q5,Extrapolative/Counterfactual Reasoning,fbd_2966.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2967_q1,Image Description,fbd_2967.png,How many force arrows are shown in this diagram?,3
fbd_2967_q2,Basic Relational Reasoning,fbd_2967.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2967_q3,Comparative Reasoning,fbd_2967.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2967_q4,Compound Reasoning,fbd_2967.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 179.82}"
fbd_2967_q5,Extrapolative/Counterfactual Reasoning,fbd_2967.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2968_q1,Image Description,fbd_2968.png,How many force arrows are shown in this diagram?,3
fbd_2968_q2,Basic Relational Reasoning,fbd_2968.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2968_q3,Comparative Reasoning,fbd_2968.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2968_q4,Compound Reasoning,fbd_2968.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.62, 'net_force_N': 0.0}"
fbd_2968_q5,Extrapolative/Counterfactual Reasoning,fbd_2968.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2969_q1,Image Description,fbd_2969.png,How many force arrows are shown in this diagram?,1
fbd_2969_q2,Basic Relational Reasoning,fbd_2969.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2969_q3,Comparative Reasoning,fbd_2969.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2969_q4,Compound Reasoning,fbd_2969.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 208.46}"
fbd_2969_q5,Extrapolative/Counterfactual Reasoning,fbd_2969.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2970_q1,Image Description,fbd_2970.png,How many force arrows are shown in this diagram?,2
fbd_2970_q2,Basic Relational Reasoning,fbd_2970.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2970_q3,Comparative Reasoning,fbd_2970.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2970_q4,Compound Reasoning,fbd_2970.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.47}"
fbd_2970_q5,Extrapolative/Counterfactual Reasoning,fbd_2970.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (245 degrees; 0=right, 90=up)"
fbd_2971_q1,Image Description,fbd_2971.png,How many force arrows are shown in this diagram?,4
fbd_2971_q2,Basic Relational Reasoning,fbd_2971.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2971_q3,Comparative Reasoning,fbd_2971.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2971_q4,Compound Reasoning,fbd_2971.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.71, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 128.0, 'magnitude': 118.584113}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 163.0, 'magnitude': 118.584113}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2971_q5,Extrapolative/Counterfactual Reasoning,fbd_2971.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",no
fbd_2972_q1,Image Description,fbd_2972.png,How many force arrows are shown in this diagram?,2
fbd_2972_q2,Basic Relational Reasoning,fbd_2972.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2972_q3,Comparative Reasoning,fbd_2972.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2972_q4,Compound Reasoning,fbd_2972.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 186.88, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 186.8805}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 261.6327}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2972_q5,Extrapolative/Counterfactual Reasoning,fbd_2972.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2973_q1,Image Description,fbd_2973.png,How many force arrows are shown in this diagram?,4
fbd_2973_q2,Basic Relational Reasoning,fbd_2973.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2973_q3,Comparative Reasoning,fbd_2973.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2973_q4,Compound Reasoning,fbd_2973.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 181.39, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 181.3869}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 181.3869}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2973_q5,Extrapolative/Counterfactual Reasoning,fbd_2973.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2974_q1,Image Description,fbd_2974.png,How many force arrows are shown in this diagram?,4
fbd_2974_q2,Basic Relational Reasoning,fbd_2974.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2974_q3,Comparative Reasoning,fbd_2974.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2974_q4,Compound Reasoning,fbd_2974.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.56, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 114.76}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 160.664}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2974_q5,Extrapolative/Counterfactual Reasoning,fbd_2974.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2975_q1,Image Description,fbd_2975.png,How many force arrows are shown in this diagram?,2
fbd_2975_q2,Basic Relational Reasoning,fbd_2975.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2975_q3,Comparative Reasoning,fbd_2975.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2975_q4,Compound Reasoning,fbd_2975.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 163.24, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 163.2384}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 163.2384}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2975_q5,Extrapolative/Counterfactual Reasoning,fbd_2975.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2976_q1,Image Description,fbd_2976.png,How many force arrows are shown in this diagram?,3
fbd_2976_q2,Basic Relational Reasoning,fbd_2976.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2976_q3,Comparative Reasoning,fbd_2976.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2976_q4,Compound Reasoning,fbd_2976.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.42, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 67.0, 'magnitude': 99.060774}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 67.0, 'magnitude': 138.685084}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2976_q5,Extrapolative/Counterfactual Reasoning,fbd_2976.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (247 degrees; 0=right, 90=up)"
fbd_2977_q1,Image Description,fbd_2977.png,How many force arrows are shown in this diagram?,4
fbd_2977_q2,Basic Relational Reasoning,fbd_2977.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2977_q3,Comparative Reasoning,fbd_2977.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2977_q4,Compound Reasoning,fbd_2977.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.59}"
fbd_2977_q5,Extrapolative/Counterfactual Reasoning,fbd_2977.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2978_q1,Image Description,fbd_2978.png,How many force arrows are shown in this diagram?,2
fbd_2978_q2,Basic Relational Reasoning,fbd_2978.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2978_q3,Comparative Reasoning,fbd_2978.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2978_q4,Compound Reasoning,fbd_2978.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 148.43}"
fbd_2978_q5,Extrapolative/Counterfactual Reasoning,fbd_2978.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2979_q1,Image Description,fbd_2979.png,How many force arrows are shown in this diagram?,4
fbd_2979_q2,Basic Relational Reasoning,fbd_2979.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2979_q3,Comparative Reasoning,fbd_2979.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2979_q4,Compound Reasoning,fbd_2979.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 82.6}"
fbd_2979_q5,Extrapolative/Counterfactual Reasoning,fbd_2979.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2980_q1,Image Description,fbd_2980.png,How many force arrows are shown in this diagram?,4
fbd_2980_q2,Basic Relational Reasoning,fbd_2980.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2980_q3,Comparative Reasoning,fbd_2980.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2980_q4,Compound Reasoning,fbd_2980.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.59, 'net_force_N': 0.0}"
fbd_2980_q5,Extrapolative/Counterfactual Reasoning,fbd_2980.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2981_q1,Image Description,fbd_2981.png,How many force arrows are shown in this diagram?,2
fbd_2981_q2,Basic Relational Reasoning,fbd_2981.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2981_q3,Comparative Reasoning,fbd_2981.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2981_q4,Compound Reasoning,fbd_2981.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 160.3}"
fbd_2981_q5,Extrapolative/Counterfactual Reasoning,fbd_2981.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2982_q1,Image Description,fbd_2982.png,How many force arrows are shown in this diagram?,3
fbd_2982_q2,Basic Relational Reasoning,fbd_2982.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2982_q3,Comparative Reasoning,fbd_2982.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2982_q4,Compound Reasoning,fbd_2982.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38}"
fbd_2982_q5,Extrapolative/Counterfactual Reasoning,fbd_2982.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_2983_q1,Image Description,fbd_2983.png,How many force arrows are shown in this diagram?,4
fbd_2983_q2,Basic Relational Reasoning,fbd_2983.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2983_q3,Comparative Reasoning,fbd_2983.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2983_q4,Compound Reasoning,fbd_2983.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 29.0, 'required_friction_coefficient': 0.5}"
fbd_2983_q5,Extrapolative/Counterfactual Reasoning,fbd_2983.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2984_q1,Image Description,fbd_2984.png,How many force arrows are shown in this diagram?,2
fbd_2984_q2,Basic Relational Reasoning,fbd_2984.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2984_q3,Comparative Reasoning,fbd_2984.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['T']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2984_q4,Compound Reasoning,fbd_2984.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 20.59, 'tension_magnitude': 55.05}"
fbd_2984_q5,Extrapolative/Counterfactual Reasoning,fbd_2984.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2985_q1,Image Description,fbd_2985.png,How many force arrows are shown in this diagram?,4
fbd_2985_q2,Basic Relational Reasoning,fbd_2985.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2985_q3,Comparative Reasoning,fbd_2985.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W2'], ['T1', 'T2'], ['W1']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2985_q4,Compound Reasoning,fbd_2985.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 23.8, 'tension_magnitude': 237.46}"
fbd_2985_q5,Extrapolative/Counterfactual Reasoning,fbd_2985.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2986_q1,Image Description,fbd_2986.png,How many force arrows are shown in this diagram?,4
fbd_2986_q2,Basic Relational Reasoning,fbd_2986.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2986_q3,Comparative Reasoning,fbd_2986.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A', 'N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2986_q4,Compound Reasoning,fbd_2986.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.58, 'net_force_N': 24.93}"
fbd_2986_q5,Extrapolative/Counterfactual Reasoning,fbd_2986.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (348.9 degrees; 0=right, 90=up)"
fbd_2987_q1,Image Description,fbd_2987.png,How many force arrows are shown in this diagram?,2
fbd_2987_q2,Basic Relational Reasoning,fbd_2987.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2987_q3,Comparative Reasoning,fbd_2987.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'no'}"
fbd_2987_q4,Compound Reasoning,fbd_2987.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 13.31, 'support_force_magnitude': 75.8}"
fbd_2987_q5,Extrapolative/Counterfactual Reasoning,fbd_2987.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2988_q1,Image Description,fbd_2988.png,How many force arrows are shown in this diagram?,3
fbd_2988_q2,Basic Relational Reasoning,fbd_2988.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2988_q3,Comparative Reasoning,fbd_2988.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'no', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2988_q4,Compound Reasoning,fbd_2988.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 36.74, 'required_friction_coefficient': 0.08}"
fbd_2988_q5,Extrapolative/Counterfactual Reasoning,fbd_2988.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (265.6 degrees; 0=right, 90=up)"
fbd_2989_q1,Image Description,fbd_2989.png,How many force arrows are shown in this diagram?,3
fbd_2989_q2,Basic Relational Reasoning,fbd_2989.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2989_q3,Comparative Reasoning,fbd_2989.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2989_q4,Compound Reasoning,fbd_2989.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.58}"
fbd_2989_q5,Extrapolative/Counterfactual Reasoning,fbd_2989.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2990_q1,Image Description,fbd_2990.png,How many force arrows are shown in this diagram?,1
fbd_2990_q2,Basic Relational Reasoning,fbd_2990.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'tension'}"
fbd_2990_q3,Comparative Reasoning,fbd_2990.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2990_q4,Compound Reasoning,fbd_2990.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 69.85}"
fbd_2990_q5,Extrapolative/Counterfactual Reasoning,fbd_2990.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2991_q1,Image Description,fbd_2991.png,How many force arrows are shown in this diagram?,3
fbd_2991_q2,Basic Relational Reasoning,fbd_2991.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W1', 'missing_force': 'tension'}"
fbd_2991_q3,Comparative Reasoning,fbd_2991.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2991_q4,Compound Reasoning,fbd_2991.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'tension_magnitude': 149.11}"
fbd_2991_q5,Extrapolative/Counterfactual Reasoning,fbd_2991.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2992_q1,Image Description,fbd_2992.png,How many force arrows are shown in this diagram?,3
fbd_2992_q2,Basic Relational Reasoning,fbd_2992.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'F', 'missing_force': 'normal'}"
fbd_2992_q3,Comparative Reasoning,fbd_2992.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2992_q4,Compound Reasoning,fbd_2992.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values.","{'minimum_friction_coefficient': 0.61, 'net_force_N': 0.0}"
fbd_2992_q5,Extrapolative/Counterfactual Reasoning,fbd_2992.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2993_q1,Image Description,fbd_2993.png,How many force arrows are shown in this diagram?,1
fbd_2993_q2,Basic Relational Reasoning,fbd_2993.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2993_q3,Comparative Reasoning,fbd_2993.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2993_q4,Compound Reasoning,fbd_2993.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values.","{'net_force_N': 0.0, 'support_force_magnitude': 194.04}"
fbd_2993_q5,Extrapolative/Counterfactual Reasoning,fbd_2993.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2994_q1,Image Description,fbd_2994.png,How many force arrows are shown in this diagram?,2
fbd_2994_q2,Basic Relational Reasoning,fbd_2994.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label. Also identify which required force is missing from the diagram.,"{'arrow_label': 'W', 'missing_force': 'normal'}"
fbd_2994_q3,Comparative Reasoning,fbd_2994.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2994_q4,Compound Reasoning,fbd_2994.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.38}"
fbd_2994_q5,Extrapolative/Counterfactual Reasoning,fbd_2994.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (249 degrees; 0=right, 90=up)"
fbd_2995_q1,Image Description,fbd_2995.png,How many force arrows are shown in this diagram?,4
fbd_2995_q2,Basic Relational Reasoning,fbd_2995.png,Which labeled arrow represents the applied force on the analyzed body? Answer with the arrow label.,A
fbd_2995_q3,Comparative Reasoning,fbd_2995.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['W'], ['N'], ['F'], ['A']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2995_q4,Compound Reasoning,fbd_2995.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.45, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 117.0, 'magnitude': 100.95594}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 152.0, 'magnitude': 100.95594}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2995_q5,Extrapolative/Counterfactual Reasoning,fbd_2995.png,"If the incline angle were increased to 40 degrees while mass, applied force, and friction coefficient stayed unchanged, would the block slip? Answer yes or no.",yes
fbd_2996_q1,Image Description,fbd_2996.png,How many force arrows are shown in this diagram?,2
fbd_2996_q2,Basic Relational Reasoning,fbd_2996.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_2996_q3,Comparative Reasoning,fbd_2996.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2996_q4,Compound Reasoning,fbd_2996.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 207.58, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 207.5796}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 290.61144}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}"
fbd_2996_q5,Extrapolative/Counterfactual Reasoning,fbd_2996.png,"If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2997_q1,Image Description,fbd_2997.png,How many force arrows are shown in this diagram?,4
fbd_2997_q2,Basic Relational Reasoning,fbd_2997.png,Which labeled arrow represents the tension force on the analyzed body? Answer with the arrow label.,T1
fbd_2997_q3,Comparative Reasoning,fbd_2997.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['T1', 'T2', 'W1', 'W2']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2997_q4,Compound Reasoning,fbd_2997.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'tension_magnitude': 66.22, 'wrong_force_details': {'arrow_label': 'T1', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 66.2175}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 66.2175}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'tension_left'}}"
fbd_2997_q5,Extrapolative/Counterfactual Reasoning,fbd_2997.png,"If force T1 were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_2998_q1,Image Description,fbd_2998.png,How many force arrows are shown in this diagram?,4
fbd_2998_q2,Basic Relational Reasoning,fbd_2998.png,Which labeled arrow represents the friction force on the analyzed body? Answer with the arrow label.,F
fbd_2998_q3,Comparative Reasoning,fbd_2998.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['A'], ['F', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}"
fbd_2998_q4,Compound Reasoning,fbd_2998.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the minimum friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'minimum_friction_coefficient': 0.54, 'net_force_N': 0.0, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 180.0, 'magnitude': 222.65}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 180.0, 'magnitude': 311.71}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_2998_q5,Extrapolative/Counterfactual Reasoning,fbd_2998.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","right (0 degrees; 0=right, 90=up)"
fbd_2999_q1,Image Description,fbd_2999.png,How many force arrows are shown in this diagram?,2
fbd_2999_q2,Basic Relational Reasoning,fbd_2999.png,Which labeled arrow represents the normal force on the analyzed body? Answer with the arrow label.,N
fbd_2999_q3,Comparative Reasoning,fbd_2999.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_2999_q4,Compound Reasoning,fbd_2999.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the support force magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'support_force_magnitude': 164.91, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 164.9061}, 'error_kind': 'direction', 'shown_value': {'direction_degrees': 125.0, 'magnitude': 164.9061}, 'whats_wrong': 'direction is rotated 35 degrees from its physically required direction', 'which_force': 'normal'}}"
fbd_2999_q5,Extrapolative/Counterfactual Reasoning,fbd_2999.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","downward (270 degrees; 0=right, 90=up)"
fbd_3000_q1,Image Description,fbd_3000.png,How many force arrows are shown in this diagram?,3
fbd_3000_q2,Basic Relational Reasoning,fbd_3000.png,Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.,W
fbd_3000_q3,Comparative Reasoning,fbd_3000.png,"Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.","{'magnitude_ranking': [['N'], ['W'], ['F']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}"
fbd_3000_q4,Compound Reasoning,fbd_3000.png,"Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the required friction coefficient for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.","{'net_force_N': 0.0, 'required_friction_coefficient': 0.36, 'wrong_force_details': {'arrow_label': 'N', 'correct_value': {'direction_degrees': 70.0, 'magnitude': 149.522198}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 70.0, 'magnitude': 209.331077}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'normal'}}"
fbd_3000_q5,Extrapolative/Counterfactual Reasoning,fbd_3000.png,"If force N were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.","direction (250 degrees; 0=right, 90=up)"