Question

. A bullet of mass 30 g is fired from a gun with a muzzle velocity 90ms−1. If its mass is 4 kg then the recoil of the gun will be

Answer 1

Step-by-step explanation:

When the gun is fired, the bullet moves forward with a great momentum while the gun moves backwards with an equal momentum. The formula for calculating the recoil of the gun is expressed as

- mv = MV

where

m and M are the masses of the bullet and gun respectively

v and V are the velocities of the bullet and gun respectively

Thus,

V = - mv/M

From the information given,

m = 30g

we would convert 30g to kg. Recall, 1000g = 1kg. Thus,

30g = 30/1000 = 0.03 kg

M = 4

v = 90

Thus,

V = - 0.03 x 90/4

V = - 0.675 m/s

The recoil of the gun is - 0.675 m/s