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JEE Main202311 Apr 2023Morning ShiftPhysicsCenter of Mass, Momentum and CollisionActual

An average force of 125 N is applied on a machine gun firing bullets each of mass 10 g at the speed of 250 m s - 1 to keep it in position. The number of bullets fired per second by the machine gun is :

Options

  1. A50
  2. B25
  3. C100
  4. D5

Correct answer

A. 50

Step-by-step solution

The formula to calculate the net momentum of the gun and bullet system can be written as F = n m v       . . . 1 Substitute the values of the known parameters into equation (1) and solve to calculate the required number of bullets. 125 = n × 10 1000 × ( 250 ) ⇒ n = 50

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