Question

A ball is dropped to the Ground from a height of 2 metre. The coefficient of restitution is 0.6. To what height will the ball rebound?

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Answer 1

Hey!!

When a ball is dropped from a height on a ground surface which has mass larger than mass of the ball, then the resulting impact is considered as the an impact with infinite mass. Due to impact, there is loss of kinetic energy and the law of conservation of momentum is not applicable.  

Coefficient of restitution (e) = √H1/H2

Substituting the given values,  

0.6 =√2/h

√2/6 = h

0.72.

Thank You..

Answer 2

Concept:

The coefficient of restitution (COR, also abbreviated as e) is the ratio of two objects' final relative speed to their initial relative speed after they contact. It usually falls between 0 and 1, with 1 denoting a fully elastic impact. The coefficient of a perfectly inelastic collision is 0, although a 0 value does not have to be perfectly inelastic.

Find:

The height after rebounce.

Solution:

Coefficient of restitution (e) = $\sqrt{\frac{H_2}{H_1} }$

Substituting the given values,  

$0.6=\sqrt{\frac{h}{2}} \\\\h=0.72$

Hence, the ball rebound to $0.72m$.

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