Question

A bullet f mass 4g is fired from a gun of mass 4kg calculate the recoil velocity of gun if the bullet moves with a velocity of 10m/s

Answer 1

Answer:

0.04m/s is the answer of this question

Answer 2

mass of bullet, m = 100g=100/1000kg=1/10kg

velocity of bullet, v= 100 m/s^-1

mass of gun, M= 20 kg

let recoil velocity of gun=V

Step-1

before firing , the system (gun+bullet) is at rest, therefore initial momentum of the system =0

final momentum of the system = momentum of bullet + momentum of gun

=mv+MV=1/10×100+20V=10+20V

Step-2

apply the law of conservation of momentum

final momentum = initial momentum

that is, 10+20V=0

20V= -10

or

V=-10/20=-0.5m/s^-1