Ball a (7kg) and ball b (3kg) hit each other in a perfectly elastic collision. if ball a has an initial velocity of 12 m/s and ball b has an initial velocity of -1 m/s. what are the final velocities of each ball?

Explanation:

Mass of ball A,

Mass of ball B,

Initial velocity of ball A,

Initial velocity of ball B,

We need to find the final velocity of each ball. For a perfectly elastic collision, the coefficient of restitution is equal to 1. It is given by :

are final velocities of ball A and B

...........(1)

Using the conservation of linear momentum as :

..............(2)

On solving equation (1) and (2) using calculator we get :

So, the final velocities of ball A and B are 4.2 m/s and 17.2 m/s. Hence, this is the required solution.

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