From a rifle of mass 4 kg, a bullet of mass 50 g is fired with an initial velocity of 35ms with respect to the ground. Calculate the initial recoil velocity of the rifle.
0.4375 m/s
Initial velocity of bullet and rifle is zero
Mass of rifle = 4 kg
Mass of bullet = 501000=0.05kg
Final velocity of bullet = 35ms
Final velocity of rifle = v
Since momentum is conserved, so initial momentum is equal to final momentum
(4×v)+(0.05×35)=0
v=(−35×0.05)4
v=−0.4375ms
The negative sign indicates that the rifle recoils with the velocity of 0.4375ms in backward direction.