A body of mass m is at rest. Another body

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A body of mass $m$ is at rest. Another body of same mass moving with velocity $ V $ makes head on elastic collision with the first body. After collision the first body starts to move with velocity

A

$V$

B

$2V$

C

Remain at rest

D

No predictable

A body of mass $m$ is at rest. Another body of same mass moving with velocity $ V $ makes head on elastic collision with the first body. After collision the first body starts to move with velocity

$m v_{2}=m v_{1}+m v_{2}$

$\frac{1}{2} m v_{2}^{2}=\frac{1}{2} m_{1} v_{1}^{2}+\frac{1}{2} m_{2} v_{2}^{2}$

$v_{2}=v_{1}+v_{2}$             $...(1)$

$\mu_{2}^{2}=v_{1}^{2}+v_{2}^{2}$       $...(2)$

$\mu_{2}=\mu_{2}-v_{1}$

$\mu_{2}^{2}=v_{1}^{2}+\left(\mu_{2}-v_{1}\right)^{2}$

$\mu_{2}^{2}=v_{1}^{2}+\left(\mu_{2}-v_{1}\right)^{2}$

$\mu_{2}^{2}=v_{1}^{2}+\mu_{2}^{2}+u_{1}^{2}-2 v_{1} \mu_{2}$

$2 v_{1}^{2}-2 v_{1} u_{2}=0$

$v_{1}\left(v_{1}-\mu_{2}\right)=0$

$v_{1}=0 \quad / \quad v_{1}=\mu_{2}$

$V$