A car, mass m 1 is moving to the right on a frictionless air track. It collides

Question

A car, mass m1 is moving to the right on a frictionless air track. It collides with a second car, mass m2, which is initially at rest. Which of the following statements are true? (If A and E are true, and the others are not, enter TFFFT).

A) If car 1 sticks to car 2, the car1-car2 system must move to the right after the collision.
B) If car 1 is much lighter than m2, and the collision is perfectly elastic, car 1 will continue heading to the right with nearly its original speed after the collision.
C) If car 1 sticks to car 2, the final total kinetic energy of the car1-car2 system is less than the initial total kinetic energy of the two cars.
D) If the collision is elastic, car 1 will never come to a stop after the collision.
E) Suppose (for this statement only) that car 2 was NOT initially at rest, but was instead heading towards car 1 with equal (but opposite) momentum before the collision. After the collision, the cars must both be at rest.

I need the correct answer to give full rating.

Explanation / Answer

A)

False. Momentum must be conserved, so if the cars had di?erent masses, they

would not come to rest.

B)

True. KE not conserved in inelastic collisions

C)

False. The system must move to preserve momentum.

D)

False. Car 1 will rebound in the opposite direction.

E)

False. It may, but not necessarily

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