Question

from a rifle of mass 4kg a bullet of mass 50g is fired with an initial velocity of 40 m/s calculate the initial recoil velocity of the rifle ​

Answer 1

Answer:

-0.5m/s

Explanation:

According to the principle of conservation of momentum,

P initial = P final

mu = m'v

m = mass of rifle

u = recoil velocity of rifle

m' = mass of bullet

v = speed of bullet

4u = 0.05 x 40

u = 0.5 m/s

Since the gun recoils in the opposite direction to conserve momentum, u = -0.5m/s where -ve sign indicates direction.

Answer 2

Hi,

Here is your answer

Given:

Mass of rifle(m1)=4kg

Mass of bullet(m2)=50g=0.05kg

Velocity of bullet(v2)=40m/s

To Find:

Recoil velocity of rifle(v1)

Solution:

The equation for finding recoil velocity is given by

v1= -m2v2/m1

Substituting the given datas in the equation

We get,

v1= -0.05×40/4

v1= -0.5m/s

The negative sign indicates that recoil velocity is in the direction opposite to that of the bullet.

Notes:

1. Remember to convert all the given datas to the SI units before calculating.

2. The recoil velocity is based on conservation of momentum.

Hope this helps you.