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JEE Main2006PhysicsCenter of Mass, Momentum and CollisionActual

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

Options

  1. A96 ~J
  2. B144 ~J
  3. C288 ~J
  4. D192 ~J

Correct answer

C. 288 ~J

Step-by-step solution

m₁ v₁=m₂ v₂ KE = 1 2 ~m ₂ v ₂^2= 1 2 4 144=288 ~J

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