A Bullet of Mass 100 gm is Fired From a Gun of Mass 2 Kg With Velocity 200 m/s. Find the ratio of KE of bullet and gun.
A bullet of mass 100 gm is fired from a gun of mass 2 kg with velocity 200 m/s is a numerical problem based on the law of conservation of momentum which helps to calculate the recoil velocity of the gun.
Law of Conservation of Momentum
When bullet is fired, the gun exerts force on bullet (action) and bullet exerts equal opposite force on gun (reaction). Total momentum before and after firing remains the same.
Calculation Concept
Initial total momentum = 0 (because both are at rest)
Final momentum = momentum of bullet + momentum of gun
So, recoil velocity can be found by equating masses and velocities.
Recoil Velocity Formula
Recoil velocity of gun = (mass of bullet × velocity of bullet) / mass of gun
- mass of bullet = 0.1 kg
- velocity = 200 m/s
- mass of gun = 2 kg
Note: Gun always moves backward with a small velocity because its mass is very high compared to bullet.
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