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Oblique Collision

A particle of...

Question

A particle of mass $m_{1}$ experienced a perfectly elastic collision with a stationary particle of mass $m_{2}$ . What fraction $η$ of the kinetic energy does the striking particle lose, if it recoils at right angles to its original motion direction?

η = \frac{m_{1}}{(m_{1} + m_{2})}

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η = \frac{m_{1}}{2 (m_{1} + m_{2})}

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η = \frac{m_{2}}{(m_{1} + m_{2})}

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η = \frac{2 m_{1}}{(m_{1} + m_{2})}

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Solution

The correct option is D $η = \frac{2 m_{1}}{(m_{1} + m_{2})}$

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