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Velocity Ratio

A ball of mas...

Question

A ball of mass $m_{1}$ experiences a perfectly elastic collision with a stationary ball of mass $m_{2}$ . What fraction of the K.E. does the striking ball lose, if the collision is head-on one.

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Solution

head-on collision
momentum is $m 1 \times u = m 1 \times v 1 + m 2 \times v 2$

Solving in the similar way
Fraction of KE lost $\frac{4 m_{1} \times m_{2}}{(m_{1} + m_{2})^{2}}$

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