NDA2022General AbilityGeneral ScienceActual
A bullet of mass 10 g is horizontally fired with velocity 300 ~m ~s ⁻¹ from a pistol of mass 1 kg . What is the recoil velocity of the pistol?
Options
- A0.3 ~m ~s ⁻¹
- B3 ~m ~s ⁻¹
- C-3 ~m ~s ⁻¹
- D-0.3 ~m ~s ⁻¹
Correct answer
C. -3 ~m ~s ⁻¹
Step-by-step solution
When a bullet is fired by the gun and gun moves in backword direction with a particular speed known as recoil velocity of the gun. Let m and M be the masses of bullet and gun, respectively. If v and V are the velocities of the bullet and gun, respectively after the firing then:- 0= mv + MV Therefore V =-( mv / M ) Putting the values, V=-(0.01 ~kg X 300 ~m / s ) /(1 Kg ) The recoil velocity of gun =- 3 ~ m / s The negative sign indicates that the gun moves in a direction to that of the bullet.