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Question

A ball moving with velocity 2 ms−1 collides head-on with another stationary ball of double the mass. If the coefficient of restitution is 0.5, then their velocities (in ms−1) after collision will be

A
0,1
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B
1,1
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C
1,0.5
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D
0,2
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Solution

The correct option is A 0,1
When two bodies collide head-on,
Coefficient of restitution, e=v2v1u1u2
From law of conservation of momentum
m1u1+m2u2=m1v1+m2v2
Put, u1=2 ms1,u2=0,m1=m
and m2=2m,e=0.5
Combining the above two equations:
v1=[mmm+2m]×2
v1=0
v2=[1.5×m3m]×2
v2=1 ms1

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