AP Physics 1 MCQ Practice by Topic 2027
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There are 42 original multiple-choice questions for each of the 43 official AP Physics 1 topics, giving 1,806 topic MCQs with answers, explanations and lesson routing.
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- 1,806 topic MCQs total.
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All 43 official topics are available. Each MCQ bank contains 42 original questions and each FRQ bank contains four prompts aligned to the four current free-response task types.
Rolling Practice
All questions are original. Check each answer for immediate feedback and explanation, then use the lesson link inside the explanation when a concept needs repair.
The wheel in the representation is rotating while its contact point slides relative to the road. Which statement is correct?
Correct answer: C. Rolling while slipping combines translation and rotation but the contact point is sliding, so the no-slip constraint v_cm=Rω does not apply.
A rolling rigid body has M=2 kg, v_cm=3 m/s, I=0.50 kg·m², and ω=6 rad/s. What is its total kinetic energy?
Correct answer: B. K=½Mv²+½Iω²=½(2)(9)+½(0.5)(36)=9+9=18 J.
A tire translates and rotates, but the contact point slides on the road. Which relation may not be used as a constraint?
Correct answer: B. v_cm=Rω is specifically the rolling-without-slipping constraint; it does not generally hold while slipping.
A wheel of radius 0.5 m rotating at 4 rad/s rolls at 2 m/s. Which Topic 6.5 concept most directly explains this physical situation?
Correct answer: C. Kinematic constraint: Center-of-mass speed and angular speed satisfy v_cm=Rω.
Which statement best defines Kinematic constraint in Topic 6.5?
Correct answer: A. Correct definition: Center-of-mass speed and angular speed satisfy v_cm=Rω.
A second situation is observed: Larger radius requires lower ω for the same rolling speed. Which concept is being applied?
Correct answer: B. Kinematic constraint is the matching concept because Center-of-mass speed and angular speed satisfy v_cm=Rω.
A bowling ball has both ½Mv² and ½Iω². Which Topic 6.5 concept most directly explains this physical situation?
Correct answer: C. Combined kinetic energy: Rolling object has translational and rotational kinetic energy.
Which statement best defines Combined kinetic energy in Topic 6.5?
Correct answer: A. Correct definition: Rolling object has translational and rotational kinetic energy.
A second situation is observed: A hoop and disk at same v can have different total K because I differs. Which concept is being applied?
Correct answer: B. Combined kinetic energy is the matching concept because Rolling object has translational and rotational kinetic energy.
A cylinder rolling down an incline may need static friction to set its angular acceleration. Which Topic 6.5 concept most directly explains this physical situation?
Correct answer: C. Static friction role: Static friction can supply torque without necessarily dissipating mechanical energy.
Which statement best defines Static friction role in Topic 6.5?
Correct answer: A. Correct definition: Static friction can supply torque without necessarily dissipating mechanical energy.
A second situation is observed: A driven car tire pushes backward on road while road friction pushes tire forward. Which concept is being applied?
Correct answer: B. Static friction role is the matching concept because Static friction can supply torque without necessarily dissipating mechanical energy.
A bowling ball initially skids and spins before kinetic friction brings it toward rolling without slipping. Which Topic 6.5 concept most directly explains this physical situation?
Correct answer: C. Rolling while slipping: An object can translate and rotate while the contact point slips relative to the surface; then the no-slip constraint v_cm=Rω does not apply.
Which statement best defines Rolling while slipping in Topic 6.5?
Correct answer: A. Correct definition: An object can translate and rotate while the contact point slips relative to the surface; then the no-slip constraint v_cm=Rω does not apply.
A second situation is observed: A tire that locks during hard braking rotates too slowly for v_cm=Rω and slides across the road. Which concept is being applied?
Correct answer: B. Rolling while slipping is the matching concept because An object can translate and rotate while the contact point slips relative to the surface; then the no-slip constraint v_cm=Rω does not apply.
Which relationship best represents this Topic 6.5 idea: Rolling without slipping?
Correct answer: B. Use v_cm = Rω. Rolling without slipping.
In Topic 6.5, which variable-and-unit description belongs with v_cm = Rω?
Correct answer: C. For v_cm = Rω: v: m/s; R: m; ω: rad/s
For Topic 6.5, consider this real application: R=.25 m, ω=8 gives v=2 m/s. Which relationship supports that result?
Correct answer: A. The relevant relationship is v_cm = Rω.
Which relationship best represents this Topic 6.5 idea: No-slip rolling angular acceleration relation?
Correct answer: B. Use a_cm = Rα. No-slip rolling angular acceleration relation.
In Topic 6.5, which variable-and-unit description belongs with a_cm = Rα?
Correct answer: C. For a_cm = Rα: a: m/s²; R: m; α: rad/s²
For Topic 6.5, consider this real application: R=.5, α=4 gives a=2 m/s². Which relationship supports that result?
Correct answer: A. The relevant relationship is a_cm = Rα.
Which relationship best represents this Topic 6.5 idea: Total kinetic energy of a rigid body that both translates and rotates?
Correct answer: B. Use K = ½Mv_cm² + ½Iω². Total kinetic energy of a rigid body that both translates and rotates.
In Topic 6.5, which variable-and-unit description belongs with K = ½Mv_cm² + ½Iω²?
Correct answer: C. For K = ½Mv_cm² + ½Iω²: K: J; M: kg; v_cm: m/s; I: kg·m²; ω: rad/s
For Topic 6.5, consider this real application: Use with energy conservation for a rigid body rolling down a ramp. Which relationship supports that result?
Correct answer: A. The relevant relationship is K = ½Mv_cm² + ½Iω².
In Topic 6.5, analyze this situation: Ball rolls along lane without slipping. Which conclusion is most consistent with the physics?
Correct answer: C. Its center translates while it rotates; both kinetic-energy terms matter.
Which Topic 6.5 worked example best illustrates this reasoning: “Its center translates while it rotates; both kinetic-energy terms matter”?
Correct answer: B. Bowling ball: Ball rolls along lane without slipping.
A student is deciding how to begin the “Bowling ball” situation. What is the best first move?
Correct answer: B. Start with the physical model. Its center translates while it rotates; both kinetic-energy terms matter.
In Topic 6.5, analyze this situation: Solid disk rolls from rest down incline. Which conclusion is most consistent with the physics?
Correct answer: C. Gravitational potential energy becomes translational + rotational kinetic energy.
Which Topic 6.5 worked example best illustrates this reasoning: “Gravitational potential energy becomes translational + rotational kinetic energy”?
Correct answer: B. Disk down ramp: Solid disk rolls from rest down incline.
A student is deciding how to begin the “Disk down ramp” situation. What is the best first move?
Correct answer: B. Start with the physical model. Gravitational potential energy becomes translational + rotational kinetic energy.
In Topic 6.5, analyze this situation: Driven tire accelerates vehicle. Which conclusion is most consistent with the physics?
Correct answer: C. Static friction at contact can point forward on the driven tire and provide translational force/torque relationship.
Which Topic 6.5 worked example best illustrates this reasoning: “Static friction at contact can point forward on the driven tire and provide translational force/torque relationship”?
Correct answer: B. Car tire: Driven tire accelerates vehicle.
A student is deciding how to begin the “Car tire” situation. What is the best first move?
Correct answer: B. Start with the physical model. Static friction at contact can point forward on the driven tire and provide translational force/torque relationship.
In Topic 6.5, a student claims: “Rolling automatically means no slipping.” Which correction is best?
Correct answer: B. An object can roll while also slipping; no-slip must be stated/justified.
Which statement should replace this misconception in a Topic 6.5 solution: “Rolling automatically means no slipping.”?
Correct answer: A. An object can roll while also slipping; no-slip must be stated/justified.
In Topic 6.5, a student claims: “Static friction always removes mechanical energy.” Which correction is best?
Correct answer: B. Static friction in ideal rolling can do no dissipative work at the instantaneous contact.
Which statement should replace this misconception in a Topic 6.5 solution: “Static friction always removes mechanical energy.”?
Correct answer: A. Static friction in ideal rolling can do no dissipative work at the instantaneous contact.
In Topic 6.5, a student claims: “All shapes roll down a ramp with the same acceleration.” Which correction is best?
Correct answer: B. Acceleration depends on rotational inertia distribution.
Which statement should replace this misconception in a Topic 6.5 solution: “All shapes roll down a ramp with the same acceleration.”?
Correct answer: A. Acceleration depends on rotational inertia distribution.
What should a student identify before calculating in Topic 6.5?
Correct answer: B. Distinguish rolling without slipping from rolling while slipping, use v_cm=Rω and a_cm=Rα only for the no-slip case, combine translational and rotational energy, and reason about friction and rolling dynamics.
Which statement best describes the AP Physics 1 scope for Topic 6.5?
Correct answer: B. AP Physics 1 requires quantitative rolling-without-slipping relationships and qualitative reasoning about rolling while slipping. During slipping, kinetic friction dissipates mechanical energy; quantitative slipping relations between translation and rotation are beyond scope, and rolling resistance is not required.
Which study sequence best matches this Topic 6.5 lesson?
Correct answer: B. The lesson is intentionally definition-first and explains terminology on the same page before equations and practice.