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Acceleration

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Question

An object of mass $m_{1}$ moving with a velocity V undergoes a head on collision with another object of mass $m_{2}$ at rest. After collision body with mass $m_{1}$ comes to the state of rest. Determine the velocity of the body with mass $m_{2}$ after collision.

A

\frac{m_{1} v}{m^{2}}

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B

m_{1} v

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C

\frac{m_{1}}{v}

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D

\frac{v}{m^{1}}

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Solution

The correct option is A $\frac{m_{1} v}{m^{2}}$
Applying conservation of linear momentum : $P_{f} = P_{i}$
Or $m_{1} \times V_{1} + m_{2} V_{2} = m_{1} u_{1} + m_{2} u_{2}$
Or $0 + m_{2} V_{2} = m_{1} v + 0$
$⟹ V_{2} = \frac{m_{1} v}{m_{2}}$

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