A ball has m=10 kg and v=10 m/s. It has the same momentum as which of the following?

Select one:
a. A ball with m = 100 kg and v = 1 m/s.
b. A ball with m = 5 kg and v = 20 m/s.
c. A ball with m = 2 kg and v = 50 m/s
d. all of these

Choice d. All three balls listed in choice a, b, and c have a momentum of each, same as that of the ball moving at . Assumption: all four balls are moving in the same direction.

Explanation:

The momentum of an object is equal to the product of its mass and its velocity .

Momentum of a ball moving at :

.

Similarly:

Hence the conclusion that these balls have the same momentum.

more than, less

less than, more