Question
A body of mass m1 moving with velocity u collides with a body of mass m2 at rest. Show that energy transfer in head-on elastic collision is maximum if m1 = m2.
Solution
The fractional energy transferred to target in head-on elastic collision when target is at rest is,
Let
Therefore,
The energy transfer is maximum if
That is,
We have, n = 1
∴
Hence the result.

Let

Therefore,
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The energy transfer is maximum if

That is,





We have, n = 1
∴
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Hence the result.