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AIIMS2016PhysicsCenter of Mass, Momentum and Collision

A gun of mass 10 ~kg fires 4 bullets per second. The mass of each bullet is 20 ~g and the velocity of the bullet when it leaves the gun is 300 ~m ~s ⁻¹ . The force required to hold the gun when firing is

Options

  1. A6 ~N
  2. B8 ~N
  3. C24 ~N
  4. D240 ~N

Correct answer

C. 24 ~N

Step-by-step solution

Momentum of one bullet, p=m v aligned & =20 10⁻³ 300=6 ~kg ~m ~s ⁻¹ & N= number of bullet per sec =4 & d p d t = change of momentum per sec or force & =N(p-0)=4 6=24 ~N & aligned

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