Question

Two objects with different masses and different velocities have the same momentum. What must be true of the velocity of the more massive object?

The more massive object has a faster velocity than the less massive object.
The more massive object has a slower velocity than the less massive object.
The more massive object has the same velocity as the less massive object.

Answer 1

The more massive object has a slower velocity than the less massive object.

Reason: momentum p = m v. If p is the same for both and m is larger, v = p/m must be smaller. For example, if p = 10 kg·m/s, a 5 kg mass has v = 2 m/s while a 2 kg mass has v = 5 m/s.