# A bomb of mass  16 kg  at rest  explodes into  two  pieces of  masses  of 4  Kg and 12 Kg  .  The  velocity of  the 12  Kg  mass is 4 ms-1 . The kinetic energy of the other mass is  Option 1) 96 J Option 2) 144 J Option 3) 288 J Option 4) 192 J.

As we learnt in

Perfectly Elastic Collision -

Law of conservation of momentum and that of Kinetic Energy hold good.

- wherein

From conservation of linear momentum

pi = pf

Therefore v = -12 m/s

i.e. 4 kg mass will move with 12 m/s in opposite direction.

Kinetic energy of 4 kg mass

Option 1)

96 J

This is an incorrect option.

Option 2)

144 J

This is an incorrect option.

Option 3)

288 J

This is the correct option.

Option 4)

192 J.

This is an incorrect option.

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