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NTA Abhyas JEE Main2020PhysicsCenter of Mass, Momentum and CollisionPractice

A gun (mass = M ) fires a bullet (mass = m ) with speed V r relative to the barrel of the gun which is inclined at an angle of 60 ° with horizontal. The gun is placed over a smooth horizontal surface. Find the recoil speed of the gun.

Options

  1. AV = 1 2 mV r m + M
  2. BV = 1 2 mV r m - M
  3. CV = 1 2 MV r m + M
  4. DNone of the above

Correct answer

A. V = 1 2 mV r m + M

Step-by-step solution

Using conservation of linear momentum in the horizontal direction. m V r cos 60° - V =  MV mV r cos 60 o m + M = V V = 1 2 mV r m + M

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