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A particle of mass 4 m, which is at rest...

A particle of mass `4 m`, which is at rest, explodes into masses `m, m` and `2 m`, two of the fragments of masses `m` and `2 m` are found to move with equal speed `v` each in opposite directions. The total mechanical energy released in the process of explosion is `k m v^(2) .` Find `k`.

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