Question

a gun of mass 10 kg fires A bullet of mass 50g with a velocity 600m/s with what velocity does the gun recoil​


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Answer 1

Explanation:

Given

a gun of mass 10 kg fires A bullet of mass 50 g with a velocity 600 m/s with what velocity does the gun recoil

• When a person shoots a bullet Recoil velocity is the backward velocity. The person who shoots will experience a backward push and recoil velocity is due to conservation of linear momentum of the system.  

• Now initial momentum of the system along with gun and bullet is 0
• So final momentum of the system = momentum of the gun and momentum of the bullet
•                                                       = M v’ + mv where v’ is the recoil velocity
• Now applying conservation of linear momentum we get
• M v’ + mv = 0
• So v’ = -(mv) / M negative sign indicates direction of velocity of gun is opposite to direction of velocity of the bullet
• Now m = 50 g = 0.05 kg
• Mass of gun M = 10 kg
• Velocity of bullet = 600 m / s
• So v’ = - (mv) / M
•         = - (0.05 x 600) / 10
•        = - 3 m / s

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