Browse papers
LevelAP Physics C: Mechanics
SubjectAP Physics C: Mechanics
Year2025 BS
Exam sessionModel questions
Full marks90
Time allowed90 minutes
Questions10, all with step-by-step solutions
A

Multiple Choice

Select the best answer.

10 questions·1 mark each
1Multiple choice1 mark

x(t)=2t39t2+12tx(t)=2t^3-9t^2+12t. When is particle at rest?

  • a

    t=1t=1 s only

  • b

    t=2t=2 s only

  • c

    t=1t=1 s and t=2t=2 s

  • d

    t=3t=3 s

Correct answer: c

t=1t=1 s and t=2t=2 s

v(t)=6t218t+12=6(t1)(t2)=0v(t)=6t^2-18t+12=6(t-1)(t-2)=0 at t=1t=1 and t=2t=2 s.

The correct answer is (c).

kinematicscalculus-based
2Multiple choice1 mark

Block slides down incline angle θ\theta, μk\mu_k. Acceleration?

  • a
    gsinθg\sin\theta
  • b
    g(sinθμkcosθ)g(\sin\theta-\mu_k\cos\theta)
  • c
    g(cosθμksinθ)g(\cos\theta-\mu_k\sin\theta)
  • d
    g(sinθ+μkcosθ)g(\sin\theta+\mu_k\cos\theta)
Correct answer: b
g(sinθμkcosθ)g(\sin\theta-\mu_k\cos\theta)

a=g(sinθμkcosθ)a=g(\sin\theta-\mu_k\cos\theta).

The correct answer is (b).

newton-lawsfriction
3Multiple choice1 mark

F(x)=6x2F(x)=6x^2 N from x=0x=0 to x=3x=3 m. Work?

  • a

    18 J

  • b

    27 J

  • c

    36 J

  • d

    54 J

Correct answer: d

54 J

W=036x2dx=2x303=54W=\int_0^3 6x^2 dx=2x^3|_0^3=54 J.

The correct answer is (d) 54 J.

work-energyvariable-force
4Multiple choice1 mark

0.15 kg baseball at 40 m/s hit back at 50 m/s, contact 0.002 s. Avg force?

  • a

    1350 N

  • b

    4500 N

  • c

    6750 N

  • d

    7500 N

Correct answer: c

6750 N

Δp=0.15(50+40)=13.5\Delta p=0.15(50+40)=13.5. F=13.5/0.002=6750F=13.5/0.002=6750 N.

The correct answer is (c) 6750 N.

momentumimpulse
5Multiple choice1 mark

Solid disk (I=12MR2I=\frac{1}{2}MR^2) rolls without slipping down incline. Acceleration?

  • a
    gsinθg\sin\theta
  • b
    23gsinθ\frac{2}{3}g\sin\theta
  • c
    12gsinθ\frac{1}{2}g\sin\theta
  • d
    57gsinθ\frac{5}{7}g\sin\theta
Correct answer: b
23gsinθ\frac{2}{3}g\sin\theta

a=gsinθ/(1+1/2)=23gsinθa=g\sin\theta/(1+1/2)=\frac{2}{3}g\sin\theta.

The correct answer is (b).

rotationmoment-of-inertia
6Multiple choice1 mark

Spring-mass, max displacement AA. Speed at equilibrium?

  • a
    Ak/mA\sqrt{k/m}
  • b
    Am/kA\sqrt{m/k}
  • c
    12Ak/m\frac{1}{2}A\sqrt{k/m}
  • d
    2Ak/m2A\sqrt{k/m}
Correct answer: a
Ak/mA\sqrt{k/m}

v=Ak/mv=A\sqrt{k/m}.

The correct answer is (a).

oscillationsspring-mass
7Multiple choice1 mark

Satellite at height hh above Earth (radius RR, surface gg). Orbital speed?

  • a
    gR\sqrt{gR}
  • b
    g(R+h)\sqrt{g(R+h)}
  • c
    gR/(R+h)\sqrt{gR/(R+h)}
  • d
    gR2/(R+h)\sqrt{gR^2/(R+h)}
Correct answer: d
gR2/(R+h)\sqrt{gR^2/(R+h)}

v=gR2/(R+h)v=\sqrt{gR^2/(R+h)}.

The correct answer is (d).

gravitationorbital-mechanics
8Multiple choice1 mark

Atwood: m1=5m_1=5 kg, m2=3m_2=3 kg. aa? (g=10g=10)

  • a

    1.25  m/s21.25\;\text{m/s}^2

  • b

    2.5  m/s22.5\;\text{m/s}^2

  • c

    5.0  m/s25.0\;\text{m/s}^2

  • d

    3.75  m/s23.75\;\text{m/s}^2

Correct answer: b

2.5  m/s22.5\;\text{m/s}^2

a=(53)(10)/(5+3)=2.5  m/s2a=(5-3)(10)/(5+3)=2.5\;\text{m/s}^2.

The correct answer is (b).

newton-lawsatwood-machine
9Multiple choice1 mark

U(x)=3x22x+5U(x)=3x^2-2x+5. Force at x=2x=2?

  • a

    $$-10N N

  • b

    $$10N N

  • c

    $$-14N N

  • d

    $$14N N

Correct answer: a

$$-10N N

F=dU/dx=(6x2)=10F=-dU/dx=-(6x-2)=-10 N at x=2x=2.

The correct answer is (a) 10-10 N.

work-energypotential-energy
10Multiple choice1 mark

Skater: ωi=2\omega_i=2 rad/s, Ii=5I_i=5, pulls in to If=2I_f=2. New ω\omega?

  • a

    2 rad/s

  • b

    4 rad/s

  • c

    5 rad/s

  • d

    10 rad/s

Correct answer: c

5 rad/s

ωf=Iiωi/If=10/2=5\omega_f=I_i\omega_i/I_f=10/2=5 rad/s.

The correct answer is (c) 5 rad/s.

rotationangular-momentum

Frequently asked questions

Where can I find the AP Physics C: Mechanics AP Physics C: Mechanics question paper 2025?
The full AP Physics C: Mechanics AP Physics C: Mechanics 2025 (Model questions) question paper is available free on Kekkei. You can read every question online and attempt the paper under timed exam conditions.
Does the AP Physics C: Mechanics 2025 paper come with solutions?
Yes. Every question on this AP Physics C: Mechanics past paper includes a step-by-step solution, plus instant AI feedback when you attempt it on Kekkei.
How many marks is the AP Physics C: Mechanics AP Physics C: Mechanics 2025 paper?
The AP Physics C: Mechanics AP Physics C: Mechanics 2025 paper carries 90 full marks and is meant to be completed in 90 minutes, across 10 questions.
Is practising this AP Physics C: Mechanics past paper free?
Yes — reading and attempting this AP Physics C: Mechanics past paper on Kekkei is completely free.