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

Question

A car, mass m1 is moving to the right on a frictionlessair track. It collides with a second car, mass m2, whichis 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 theright after the collision.
B) If the collision is elastic, car 1 will never come to a stopafter the collision.
C) If car 1 is much lighter than m2, and the collision is perfectlyelastic, car 1 will continue heading to the right with nearly itsoriginal speed after the collision.
D) Suppose (for this statement only) that car 2 was NOT initiallyat rest, but was instead heading towards car 1 with equal (butopposite) momentum before the collision. After the collision, thecars must both be at rest.
E) If car 1 sticks to car 2, the final total kinetic energy of thecar1-car2 system is equal to the initial total kinetic energy ofthe two cars.

Explanation / Answer

A) True. KE is decreased in inelastic collisions. B) True, they both share a velocity. C) Fasesles; it will bounce back to the left. D) False; if the masses are different, then this will nothappen. E) False friction.

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