Question

A 5Kg ball rolling to the right at a velocity of 5m/s hits a stationary 10Kg ball. It is an elastic collision and the final velocity of the 5Kg ball is 0m/s. What is the final velocity of the 10Kg ball?

Answer 1

magnitude of v = 2.5 m/s, and in the same direction as the initial velocity of the 5 kg ball.

Step-by-step explanation:

We use conservation of linear momentum in an elastic collision to solve for the unknown velocity v:

Pi = Pf

5 kg * 5 m/s + 10 kg * 0 m/s = 5 kg * 0 m/s + 10 kg * v

25 kg m/s = 10 kg * v

v = 25/10 m/s

v = 2.5 m/s

and in the same direction as the initial velocity of the 5 kg ball.