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A ball moving with velocity 2 ms^(-1) co...

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

B

1,1

C

0,0.5

D

0,2

Text Solution

Verified by Experts

The correct Answer is:
A

initial condition final condition
By conservation of linear momentum :
`2M=Mv_(1)+2mv_(2)implies V_(1)+2v_(2)=2`
by definition of e: e `=(1)/(2)=(v_(2)-v_(1))/(2-0)`
`implies v_(2)-V_(1)=1implies V_(1)=0and v_(2) = 1 ms^(-1)`
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