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## Homework Statement

A body of mass, m makes a head on perfectly elastic collision with a body of mass, M initially at rest. Show that

[tex]\frac{\triangle E}{E_o}=\frac{4(\frac{M}{m})}{(1+\frac{M}{m})^2}[/tex]

## Homework Equations

## The Attempt at a Solution

Momentum: [tex]mu_1=mv_1+Mv_2[/tex]

[tex]\triangle E= \frac{1}{2}mv_1^2+\frac{1}{2}Mv_2^2-\frac{1}{2}mu_1^2[/tex]