AP Physics C Mechanics Linear Momentum MCQ

Linear Momentum AP Physics C Mechanics MCQ – Exam Style Questions etc.

Linear Momentum AP Physics C Mechanics MCQ

Unit 4: Linear Momentum

Weightage : 15-25%

AP Physics C Mechanics Exam Style Questions – All Topics

Question

The magnitude of a force as a function of time can be represented by $F(t)=Rt^{2}-St+Z$

The direction of the force does not change. If the force is exerted on an object of mass $M$ , the change in velocity of the object between $lowercase t equals 0$ and $t = T$ seconds is

A 2RT-S

B $\frac{2RT}{M}-\frac{S}{M}$

C $\frac{1}{3}RT^{3}-\frac{1}{2}ST^{2}+ZT$

D $\frac{1}{3}\frac{RT^{3}}{M}-\frac{1}{2}\frac{ST^{2}}{M}+\frac{ZT}{M}$

E $\frac{RT^{2}}{M}-\frac{ST^{2}}{M}+\frac{Z}{M}$

Answer/Explanation

Ans:D

Question

In an experiment, students use a force sensor to apply a force of magnitude $F$ to an object of mass $m$ that is initially at rest. The force is exerted in the $+ x$ -direction for a time $t = T$ . The impulse exerted on the device is $J$ . Which of following procedure changes would result in an impulse $2 J$ being exerted on an object?

A Exert a force of magnitude $\frac{F}{2}$ on an object of mass $m$ for a time $t = T$ .

B Exert a force of magnitude $\frac{F}{2}$ on an object of mass $2 m$ for a time $lowercase t equals 2 uppercase T$ .

C Exert a force of magnitude $F$ on an object of mass $2 m$ for a time $lowercase t equals 2 uppercase T$ .

D Exert a force of magnitude $2 F$ on an object of mass $m$ for a time $lowercase t equals 2 uppercase T$ .

E Exert a force of magnitude $2 F$ on an object of mass $m$ for a time \( $t = \frac{T}{2}$

Answer/Explanation

Ans:C

The mass has no effect on the impulse. Doubling the time while keeping the force the same will double the impulse.

Question

If one knows only the constant resultant force acting on an object and the time during which this force acts, one can determine the

A change in momentum of the object

B change in velocity of the object

C change in kinetic energy of the object

D mass of the object

E acceleration of the object

Answer/Explanation

Ans:A

Question

Object $A$ has a mass of $M$ and is moving in the $+ x$ direction. It collides with object $B$ , which has a mass of 2 $M$ and is initially at rest. After the collision, object $B$ has a final velocity of $v$ in the $+ x$ direction. Which of the following best describes the impulse object $B$ exerts on object $A$ during the collision?

A −2Mv

B −Mv

C 0

D +Mv

E +2Mv

Answer/Explanation

Ans:A

The impulse object $B$ exerts on object $A$ will be equal and opposite the impulse of $B$ on $A$ . The impulse on $B$ can be calculated by its change in momentum, $J = Δ p = m (v_{f} - v_{i}) = 2 M (v - 0) = 2 M v$ . Therefore, the impulse on object $A$ is $- 2 M v$ .

AP Physics C Mechanics Linear Momentum MCQ

Linear Momentum AP Physics C Mechanics MCQ

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