Momentum and CollisionHard

Question

A particle of mass 4m which is at rest explodes into masers m, m& 2m. Two of the fragments of masses m and 2m are found to move with equal speeds v each in opposite directions. The total mechanical energy m and 2m are found to move with equal speeds each in opposite directions. The total mechanical energy released in the proses of explosion is

Options

A.mv2
B.2mv2
C.1 / 2mv2
D.4mv2

Solution


0 = 2mv - mv + mv′ v′ = - v
Total mechanical energy released
= (m + m + 2m)v2 = 2mv2.

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