AP Physics 1 MCQ Practice by Topic 2027
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- 1,806 topic MCQs total.
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Defining Simple Harmonic Motion (SHM) 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.
An ideal spring has k=100 N/m and is stretched 0.20 m to the right of equilibrium. What spring force acts on the mass?
Correct answer: B. F=−kx=−(100)(0.20)=−20 N, so the force is 20 N toward equilibrium (left).
In ideal SHM, where is acceleration magnitude greatest?
Correct answer: B. For spring SHM a=−(k/m)x, so |a| is largest at maximum |x|.
A mass in SHM is left of equilibrium. Which direction does the restoring acceleration point?
Correct answer: B. Restoring force and acceleration point toward equilibrium, opposite the displacement.
A stretched spring pulls the mass back. Which Topic 7.1 concept most directly explains this physical situation?
Correct answer: C. Restoring force: A force directed toward equilibrium after displacement.
Which statement best defines Restoring force in Topic 7.1?
Correct answer: A. Correct definition: A force directed toward equilibrium after displacement.
A second situation is observed: Gravity’s tangential component pulls a small-angle pendulum toward bottom. Which concept is being applied?
Correct answer: B. Restoring force is the matching concept because A force directed toward equilibrium after displacement.
Double spring displacement gives double restoring force. Which Topic 7.1 concept most directly explains this physical situation?
Correct answer: C. Proportionality: In ideal SHM, restoring acceleration magnitude grows linearly with displacement magnitude.
Which statement best defines Proportionality in Topic 7.1?
Correct answer: A. Correct definition: In ideal SHM, restoring acceleration magnitude grows linearly with displacement magnitude.
A second situation is observed: For small pendulum angles, tangential restoring effect is approximately proportional to displacement/angle. Which concept is being applied?
Correct answer: B. Proportionality is the matching concept because In ideal SHM, restoring acceleration magnitude grows linearly with displacement magnitude.
A mass oscillating between ±0.10 m has amplitude 0.10 m. Which Topic 7.1 concept most directly explains this physical situation?
Correct answer: C. Amplitude: Maximum magnitude of displacement from equilibrium.
Which statement best defines Amplitude in Topic 7.1?
Correct answer: A. Correct definition: Maximum magnitude of displacement from equilibrium.
A second situation is observed: Amplitude is not the total peak-to-peak distance. Which concept is being applied?
Correct answer: B. Amplitude is the matching concept because Maximum magnitude of displacement from equilibrium.
Uniform circular motion is periodic but not one-dimensional SHM itself, though projections can be SHM. Which Topic 7.1 concept most directly explains this physical situation?
Correct answer: C. Periodic vs SHM: All SHM is periodic, but not all periodic motion satisfies a∝−x.
Which statement best defines Periodic vs SHM in Topic 7.1?
Correct answer: A. Correct definition: All SHM is periodic, but not all periodic motion satisfies a∝−x.
A second situation is observed: A bouncing ball repeats approximately but is not ideal SHM. Which concept is being applied?
Correct answer: B. Periodic vs SHM is the matching concept because All SHM is periodic, but not all periodic motion satisfies a∝−x.
Which relationship best represents this Topic 7.1 idea: Ideal spring restoring force?
Correct answer: B. Use F = −kx. Ideal spring restoring force.
In Topic 7.1, which variable-and-unit description belongs with F = −kx?
Correct answer: C. For F = −kx: F: N; k: N/m; x: m from equilibrium/relaxed reference as modeled
For Topic 7.1, consider this real application: Positive x gives negative restoring force. Which relationship supports that result?
Correct answer: A. The relevant relationship is F = −kx.
Which relationship best represents this Topic 7.1 idea: Defining SHM acceleration-position relationship?
Correct answer: B. Use a = −ω²x. Defining SHM acceleration-position relationship.
In Topic 7.1, which variable-and-unit description belongs with a = −ω²x?
Correct answer: C. For a = −ω²x: a: m/s²; ω: rad/s; x: m
For Topic 7.1, consider this real application: At maximum +x, acceleration is maximum negative. Which relationship supports that result?
Correct answer: A. The relevant relationship is a = −ω²x.
Which relationship best represents this Topic 7.1 idea: Amplitude?
Correct answer: B. Use A = |x|max. Amplitude.
In Topic 7.1, which variable-and-unit description belongs with A = |x|max?
Correct answer: C. For A = |x|max: A: m
For Topic 7.1, consider this real application: Motion from −0.2 to +0.2 m has A=.2 m. Which relationship supports that result?
Correct answer: A. The relevant relationship is A = |x|max.
In Topic 7.1, analyze this situation: Mass is pulled right and released. Which conclusion is most consistent with the physics?
Correct answer: C. Spring force points left toward equilibrium; it oscillates ideally if losses are small.
Which Topic 7.1 worked example best illustrates this reasoning: “Spring force points left toward equilibrium; it oscillates ideally if losses are small”?
Correct answer: B. Spring mass: Mass is pulled right and released.
A student is deciding how to begin the “Spring mass” situation. What is the best first move?
Correct answer: B. Start with the physical model. Spring force points left toward equilibrium; it oscillates ideally if losses are small.
In Topic 7.1, analyze this situation: Bob displaced slightly. Which conclusion is most consistent with the physics?
Correct answer: C. Tangential gravity restores toward lowest point, approximating SHM for small angles.
Which Topic 7.1 worked example best illustrates this reasoning: “Tangential gravity restores toward lowest point, approximating SHM for small angles”?
Correct answer: B. Pendulum small angle: Bob displaced slightly.
A student is deciding how to begin the “Pendulum small angle” situation. What is the best first move?
Correct answer: B. Start with the physical model. Tangential gravity restores toward lowest point, approximating SHM for small angles.
In Topic 7.1, analyze this situation: Oscillator reaches +A. Which conclusion is most consistent with the physics?
Correct answer: C. Velocity is zero momentarily while restoring acceleration magnitude is maximum toward equilibrium.
Which Topic 7.1 worked example best illustrates this reasoning: “Velocity is zero momentarily while restoring acceleration magnitude is maximum toward equilibrium”?
Correct answer: B. Turnaround: Oscillator reaches +A.
A student is deciding how to begin the “Turnaround” situation. What is the best first move?
Correct answer: B. Start with the physical model. Velocity is zero momentarily while restoring acceleration magnitude is maximum toward equilibrium.
In Topic 7.1, a student claims: “At equilibrium the oscillator stops.” Which correction is best?
Correct answer: B. Speed is typically maximum at equilibrium.
Which statement should replace this misconception in a Topic 7.1 solution: “At equilibrium the oscillator stops.”?
Correct answer: A. Speed is typically maximum at equilibrium.
In Topic 7.1, a student claims: “At amplitude acceleration is zero.” Which correction is best?
Correct answer: B. Restoring acceleration magnitude is maximum at |x|=A.
Which statement should replace this misconception in a Topic 7.1 solution: “At amplitude acceleration is zero.”?
Correct answer: A. Restoring acceleration magnitude is maximum at |x|=A.
In Topic 7.1, a student claims: “Any repeating motion is SHM.” Which correction is best?
Correct answer: B. SHM requires restoring acceleration proportional to −x.
Which statement should replace this misconception in a Topic 7.1 solution: “Any repeating motion is SHM.”?
Correct answer: A. SHM requires restoring acceleration proportional to −x.
What should a student identify before calculating in Topic 7.1?
Correct answer: B. Identify equilibrium, restoring force/acceleration, amplitude, and the defining proportionality that distinguishes SHM from other periodic motion.
Which statement best describes the AP Physics 1 scope for Topic 7.1?
Correct answer: B. Small-angle pendulum behavior is treated as SHM within the course approximation.
Which study sequence best matches this Topic 7.1 lesson?
Correct answer: B. The lesson is intentionally definition-first and explains terminology on the same page before equations and practice.