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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, 2`

B

`0, 1`

C

`1, 1`

D

`1, 0.5`

Text Solution

Verified by Experts

The correct Answer is:
B

`m_1 = m: u_1 = 2m//s , m_2 = 2m,u_2 = 0`
`v_1 =((m_1-em_2)/(m_1+m_2))u_1 =((m-0.5 xx2m)/(3m))xx2 = 0`
`v_2 =(m_1(1+e)u_1)/(m_1+m_2)=(mxx1.5 xx2)/(3m) = 1m//s`
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