A car, mass m1 is moving to the right on a frictionless air track. It collides w

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) 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.

B) 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.

C) If car 1 sticks to car 2, the car1-car2 system must move to the right after the collision.

D) 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.

E) If the collision is elastic, car 1 must always come to a stop after the collision.

BE SURE OF YOUR ANSWER

Explanation / Answer

A)

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

would not come to rest.

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