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Question

A 12kg bomb at rest explodes into two pieces of 4kg and 8kg. If the momentum of 4kg piece is 20Ns, the kinetic energy of the 8kg piece is:

A
25J
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B
20J
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C
50J
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D
40J
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Solution

The correct option is A 25J
As initial momentum of the system is zero. Thus according to law of conservation of momentum, final momentum of the system must also be zero.
Hence momentum of 8kg piece must be equal and opposite to the momentum of 4kg piece.
Momentum of 8kg piece, P=20Ns
Kinetic energy of 8kg piece, K=P22m=2022×8=25 J

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