Question 1

A car of mass $$1.5 	imes 10^3$ kg collides with a wall and rebounds. Its initial velocity is -15$ m/s and its final velocity is 2.6$ m/s. If the collision lasts for 0.15$ s, what is the magnitude of the impulse delivered to the car?

Accepted Answer

$$2.64 	imes 10^4$ kg\,m/s

Question 2

Which of the following best describes the impulse-momentum theorem?

Accepted Answer

The impulse acting on a system is equal to the change in momentum of the system: $$J = \Delta p$$

Question 3

A 100 g superball bounces off the sidewalk, changing its velocity from $$10 m/s $$downward to $$10 m/s $$upward in $$0.1 s. $$What is the magnitude of the average force exerted by the sidewalk on the ball?

Accepted Answer

$$20 N$$

Question 4

Which of the following statements about momentum is correct?

Accepted Answer

Momentum is a vector quantity and depends on both mass and velocity.

Question 5

A 100 kg man and a 50 kg woman stand on ice skates facing each other. The woman pushes the man so that his final speed is $$1 m/s. $$What is the woman's recoil speed?

Accepted Answer

$$2 m/s$$

Question 6

Which of the following is true for a perfectly inelastic collision?

Accepted Answer

The objects stick together and move with the same final velocity.

Question 7

An archer of mass $$60 kg $$fires a $$0.5 kg $$arrow at $$50 m/s $$while standing on frictionless ice. What is the recoil velocity of the archer?

Accepted Answer

$$-0.417 m/s$$

Question 8

A ball of mass $$m$$ moving at velocity $$v$$ collides head-on and sticks to a ball of mass $$3m$$ moving at $$-v/3. $$What is the final velocity of the combined mass after the collision?

Accepted Answer

$$0$$

Question 9

Which equation correctly expresses the conservation of momentum for two objects in a collision?

Accepted Answer

$$m_1 v$$_{1i} + $$m_2 v$$_{2i} = $$m_1 v$$_{1f} + $$m_2 v$$_{2f}$$

Question 10

A car of mass $$1.5 	imes 10^3$ kg changes its velocity from -15$ m/s to 2.6$ m/s in 0.15$ s. What is the average force exerted on the car during the collision?

Accepted Answer

$$1.76 	imes 10^5$ N$

Question 11

Which of the following best describes an isolated system in the context of momentum conservation?

Accepted Answer

A system with no external forces acting on it.

Question 12

A $$0.1 kg $$ball bounces off the ground, changing its velocity from $$-10 m/s to$$ $$10 m/s. $$What is the change in momentum?

Accepted Answer

$$2 kg$$\,m/s

Question 13

Which of the following is NOT a characteristic of an elastic collision?

Accepted Answer

The objects stick together after the collision.

Question 14

If a net external force acts on a system, what happens to the total momentum of the system?

Accepted Answer

It changes by an amount equal to the impulse applied.

Question 15

A $$2 kg $$object moving at $$3 m/s $$collides with a $$1 kg $$object at rest. If they stick together, what is their final velocity?

Accepted Answer

$$2 m/s$$

Linear Momentum and Collisions: Impulse, Conservation, and Collision Types

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