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NEET2008PhysicsCenter of Mass, Momentum and CollisionActual

A shell of mass 200 gm is ejected from a gun of mass 4 ~kg by an explosion that generates 1.05 ~kJ of energy. The initial velocity of the shell is

Options

  1. A120 ~ms ⁻¹
  2. B100 ~ms ⁻¹
  3. C80 ~ms ⁻¹
  4. D40 ~ms ⁻¹

Correct answer

B. 100 ~ms ⁻¹

Step-by-step solution

Let the initial velocity of the shell be v , then velocity of gun is ( 0.2 v 4 ) . (from conservation of linar moment) Now 1.05 10^3= 1 2 (0.2) v^2+ 1 2 (4) ( 0.2 v 4 )^2 v=100 ~m / s

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