Define recoiling of gun and derive an expression for recoiling of the gun?

CBSE Class 9
1

define recoiling of gun and derive an expression for recoiling of the gun?

2

Recoil velocity is the backward velocity experienced by a shooter when one shoots a bullet. Due to the recoil velocity the shooter experiences a backward jerk. The recoil velocity is the result of conservation of linear momentum of the system. In fact every projection system experiences a recoil velocity whether it is gun, crossbow, bow and arrow, rocket launchers.

Initial momentum of the system including the gun and the bullet = 0

Final momentum of the system = momentum of the gun + momentum of the bullet = Mv/ + mv

(v/ is the recoil velocity of the gun)

Applying conservation of linear momentum,

0 = Mv/ + mv

Implies, v/ = -(mv)/M

The negative sign indicates that the direction of velocity of the gun is opposite to the direction of velocity of the bullet.