Derivation of recoil of gun
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Yogita Ingle 7 years, 3 months ago
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 = Mv1+ mv (v is the recoil velocity of the gun)
Applying conservation of linear momentum,
0 = Mv1 + mv
Implies, v1 = -(mv)/M
The negative sign indicates that the direction of velocity of the gun is opposite to the direction of velocity of the bullet.
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