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Question: A metal ball falls from a height of 32 metre on a steel plate. If the coefficient of restitution is ...

A metal ball falls from a height of 32 metre on a steel plate. If the coefficient of restitution is 0.5, to what height will the ball rise after second bounce

A

2 m

B

4 m

C

8 m

D

16 m

Answer

2 m

Explanation

Solution

hn=he2nh _ { n } = h e ^ { 2 n } = 32(12)4=3216=2m32 \left( \frac { 1 } { 2 } \right) ^ { 4 } = \frac { 32 } { 16 } = 2 m (here n = 2, e = 1/2)