Collisions

Three identical balls: Ball 1, Ball 2 and Ball 3 are placed on a smooth floor on a straight line at a separation of 10 metres. (Ball 1 is at the extreme left, Ball 2 is in the middle and Ball 3 is at the extreme right and the separation between Ball 1 and Ball 2 is 10 metres and the separation between Ball 2 and Ball 3 is also 10 metres). Initially, the balls are stationary. Ball 1 is given a velocity of 10 metres/sec and when it collides with Ball 2, the coefficient of restitution is 0.5. But the collision between ball 2 and ball 3 is perfectly elastic.

What is the time interval between consecutive collisions between Ball 1 and Ball 2?

Enter your answer in seconds.


The answer is 4.

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