Question

A ball is dropped from a height of 10 m on a fixed steel platform. Determine the height to which the ball rebounds on the first, second and third bounces. The co-efficient of restitution between the ball and the plate is 0.9.

Answer 1

9 m, 8.1 m, 7.29 m

Step-by-step explanation:

Initial height (h) = 10 m

Coefficient of restitution (e) = 0.9

On the first bounce, the ball rebounds to a height of:

H1 = eh = 0.910 = 9 m

On the second bounce, the ball drops from 9 m to 0, and rebounds to a height of:

H2 = e9 = 0.99 = 8.1 m

On the third bounce, the ball drops from 8.1 m to 0, and rebounds to a height of:

H3 = e8.1 = 0.98.1 = 7.29 m

So, the height to which the ball rebounds on the first, second, and third bounces are 9 m, 8.1 m, and 7.29 m, respectively.