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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Translational Kinetic Energy 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.
A 4.0 kg cart moves at 3.0 m/s. What is its translational kinetic energy?
Correct answer: C. K=½mv²=½(4)(3²)=18 J.
The speed of an object triples while its mass stays constant. By what factor does its translational kinetic energy change?
Correct answer: C. K is proportional to v², so tripling speed multiplies K by 3²=9.
Two equal-mass carts move at +5 m/s and −5 m/s. Which comparison is correct?
Correct answer: C. Each cart has the same speed magnitude, so each has the same K=½mv².
A car at 20 m/s has four times the kinetic energy it had at 10 m/s if mass is unchanged. Which Topic 3.1 concept most directly explains this physical situation?
Correct answer: C. Speed-squared dependence: Because K is proportional to v², doubling speed multiplies kinetic energy by four.
Which statement best defines Speed-squared dependence in Topic 3.1?
Correct answer: A. Correct definition: Because K is proportional to v², doubling speed multiplies kinetic energy by four.
A second situation is observed: A ball moving three times faster has nine times the kinetic energy. Which concept is being applied?
Correct answer: B. Speed-squared dependence is the matching concept because Because K is proportional to v², doubling speed multiplies kinetic energy by four.
A loaded truck and a bicycle at 15 m/s do not have the same kinetic energy. Which Topic 3.1 concept most directly explains this physical situation?
Correct answer: C. Mass dependence: At the same speed, the more massive object has more translational kinetic energy.
Which statement best defines Mass dependence in Topic 3.1?
Correct answer: A. Correct definition: At the same speed, the more massive object has more translational kinetic energy.
A second situation is observed: Two carts at equal speed: the 4 kg cart has twice the kinetic energy of a 2 kg cart. Which concept is being applied?
Correct answer: B. Mass dependence is the matching concept because At the same speed, the more massive object has more translational kinetic energy.
Cars moving east and west at the same speed and mass have equal kinetic energy. Which Topic 3.1 concept most directly explains this physical situation?
Correct answer: C. Scalar energy: Kinetic energy has magnitude but no direction, even though velocity is a vector.
Which statement best defines Scalar energy in Topic 3.1?
Correct answer: A. Correct definition: Kinetic energy has magnitude but no direction, even though velocity is a vector.
A second situation is observed: A thrown ball has positive kinetic energy while rising and while falling. Which concept is being applied?
Correct answer: B. Scalar energy is the matching concept because Kinetic energy has magnitude but no direction, even though velocity is a vector.
A rolling wheel has translational kinetic energy of its center of mass plus rotational kinetic energy. Which Topic 3.1 concept most directly explains this physical situation?
Correct answer: C. System center-of-mass motion: For an extended system, translational kinetic energy refers to whole-system motion and is distinct from rotational or internal energy.
Which statement best defines System center-of-mass motion in Topic 3.1?
Correct answer: A. Correct definition: For an extended system, translational kinetic energy refers to whole-system motion and is distinct from rotational or internal energy.
A second situation is observed: A vibrating cart can translate while also having internal motion. Which concept is being applied?
Correct answer: B. System center-of-mass motion is the matching concept because For an extended system, translational kinetic energy refers to whole-system motion and is distinct from rotational or internal energy.
Which relationship best represents this Topic 3.1 idea: Translational kinetic energy for a particle or object represented by its center-of-mass speed?
Correct answer: B. Use K = ½mv². Translational kinetic energy for a particle or object represented by its center-of-mass speed.
In Topic 3.1, which variable-and-unit description belongs with K = ½mv²?
Correct answer: C. For K = ½mv²: K: joule (J); m: kilogram (kg); v: speed (m/s)
For Topic 3.1, consider this real application: A 2 kg cart at 3 m/s has K = 9 J. Which relationship supports that result?
Correct answer: A. The relevant relationship is K = ½mv².
Which relationship best represents this Topic 3.1 idea: Quick comparison of energy when only speed changes?
Correct answer: B. Use K₂/K₁ = (v₂/v₁)². Quick comparison of energy when only speed changes.
In Topic 3.1, which variable-and-unit description belongs with K₂/K₁ = (v₂/v₁)²?
Correct answer: C. For K₂/K₁ = (v₂/v₁)²: dimensionless ratio when mass is unchanged
For Topic 3.1, consider this real application: Doubling speed gives K₂/K₁ = 4. Which relationship supports that result?
Correct answer: A. The relevant relationship is K₂/K₁ = (v₂/v₁)².
Which relationship best represents this Topic 3.1 idea: Compare two objects at equal speed?
Correct answer: B. Use K₂/K₁ = m₂/m₁. Compare two objects at equal speed.
In Topic 3.1, which variable-and-unit description belongs with K₂/K₁ = m₂/m₁?
Correct answer: C. For K₂/K₁ = m₂/m₁: dimensionless ratio when speed is unchanged
For Topic 3.1, consider this real application: A 6 kg cart has three times the K of a 2 kg cart at the same speed. Which relationship supports that result?
Correct answer: A. The relevant relationship is K₂/K₁ = m₂/m₁.
In Topic 3.1, analyze this situation: A car increases speed from 10 m/s to 20 m/s without changing mass. Which conclusion is most consistent with the physics?
Correct answer: C. K depends on v², so its translational kinetic energy becomes four times as large.
Which Topic 3.1 worked example best illustrates this reasoning: “K depends on v², so its translational kinetic energy becomes four times as large”?
Correct answer: B. Car-speed comparison: A car increases speed from 10 m/s to 20 m/s without changing mass.
A student is deciding how to begin the “Car-speed comparison” situation. What is the best first move?
Correct answer: B. Start with the physical model. K depends on v², so its translational kinetic energy becomes four times as large.
In Topic 3.1, analyze this situation: Two identical carts move at +4 m/s and −4 m/s. Which conclusion is most consistent with the physics?
Correct answer: C. Their velocities differ, but their speeds are equal, so their kinetic energies are equal.
Which Topic 3.1 worked example best illustrates this reasoning: “Their velocities differ, but their speeds are equal, so their kinetic energies are equal”?
Correct answer: B. Opposite directions: Two identical carts move at +4 m/s and −4 m/s.
A student is deciding how to begin the “Opposite directions” situation. What is the best first move?
Correct answer: B. Start with the physical model. Their velocities differ, but their speeds are equal, so their kinetic energies are equal.
In Topic 3.1, analyze this situation: A bicycle wheel rolls down a road. Which conclusion is most consistent with the physics?
Correct answer: C. Its center of mass translates, so it has translational kinetic energy; its rotation is additional energy treated later in Unit 6.
Which Topic 3.1 worked example best illustrates this reasoning: “Its center of mass translates, so it has translational kinetic energy; its rotation is additional energy treated later in Unit 6”?
Correct answer: B. Rolling wheel: A bicycle wheel rolls down a road.
A student is deciding how to begin the “Rolling wheel” situation. What is the best first move?
Correct answer: B. Start with the physical model. Its center of mass translates, so it has translational kinetic energy; its rotation is additional energy treated later in Unit 6.
In Topic 3.1, a student claims: “Kinetic energy can be negative when velocity is negative.” Which correction is best?
Correct answer: B. No. K uses v² and is nonnegative.
Which statement should replace this misconception in a Topic 3.1 solution: “Kinetic energy can be negative when velocity is negative.”?
Correct answer: A. No. K uses v² and is nonnegative.
In Topic 3.1, a student claims: “Twice the speed means twice the kinetic energy.” Which correction is best?
Correct answer: B. Twice the speed means four times the kinetic energy.
Which statement should replace this misconception in a Topic 3.1 solution: “Twice the speed means twice the kinetic energy.”?
Correct answer: A. Twice the speed means four times the kinetic energy.
In Topic 3.1, a student claims: “All motion energy is translational kinetic energy.” Which correction is best?
Correct answer: B. Rotation and internal motion can contribute other forms of kinetic energy.
Which statement should replace this misconception in a Topic 3.1 solution: “All motion energy is translational kinetic energy.”?
Correct answer: A. Rotation and internal motion can contribute other forms of kinetic energy.
What should a student identify before calculating in Topic 3.1?
Correct answer: B. Connect motion to energy, distinguish speed from velocity in kinetic energy, and compare how changes in mass or speed change translational kinetic energy.
Which statement best describes the AP Physics 1 scope for Topic 3.1?
Correct answer: B. Topic 3.1 focuses on translational kinetic energy. Rotational kinetic energy is treated in Topic 6.1.
Which study sequence best matches this Topic 3.1 lesson?
Correct answer: B. The lesson is intentionally definition-first and explains terminology on the same page before equations and practice.