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Question

In a 1D motion, ball B is ahead of A. Ball A is moving with a speed of 10 m/s towards B and ball B is moving with speed 15 m/s towards ball A. After the collision, ball A starts moving with a speed of 5 m/s towards ball B and ball B starts moving with a speed of 20 m/s away from A. Find the coefficient of restitution (e).

A
0.3
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B
0.4
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C
0.8
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D
0.6
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Solution

The correct option is D 0.6

Let u1= Speed of ball A before collision = 10 m/s
u2= Speed of ball B before collision =15 m/s


v1= Speed of ball A after collision =5 m/s
v2= Speed of ball B after collision =20 m/s
The coefficient of restitution (e)=speed of separationspeed of approach
Speed of separation =v2v1
Speed of approach =u1+u2

e=v2v1u1+u2
e=20510+15=1525=0.6

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