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Question

A metal ball is moving with velocity 10 m/s in downward direction as shown in the figure. After collision with a surface having coefficient of restitution (e)=0.6, it rebounds back. Find the rebound velocity. (Assume the surface remains stationary)


A
6 m/s
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B
10 m/s
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C
60 m/s
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D
0.06 m/s
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Solution

The correct option is A 6 m/s
Given,
Speed of the metal ball before collision (u1)=10 m/s
Speed of the surface before collision (u2)=0 m/s
and speed of the surface after collision (v2)=0 m/s
Let the rebound speed of the ball be v.

Coefficient of restitution (e)=0.6
We know,
Coefficient of restitution e=v2v1u1u2=0(v)100
(Taking downward direction -ve)
0.6=v10v=6 m/s

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