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Angular Velocity

A body of mas...

Question

A body of mass $M_{1}$ collides elastically with another body of mass $M_{2}$ at rest. There is maximum transfer of energy when

M_{1} > M_{2}

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M_{1} < M_{2}

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M_{1} = M_{2}

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same for all values of

M_{1}

and

M_{2}

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Solution

The correct option is A $M_{1} > M_{2}$
$K . E_{1} = K . E g$
$\frac{1}{2} m_{1} v_{1} + 0 = \frac{1}{2} m_{2} v_{2} + \frac{1}{2} m_{1} v_{3}^{2}$
and
$m_{1} v_{1} = m_{1} v_{3} + v_{2} m_{2}$
on solving this,
So, for max transfer of energy the K.E of $M_{2}$ will be maximum
Therefore, $M_{1} > M_{2} .$

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