Question

from a rifle of mass 4 kg, a bullet of mass 50g is fired with an intial velocity of 3500/s Calculate the intial velocity of the rifle? ​

Answer 1

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Answer 2

Answer:

Mass of the rifle (m1) = 4 kg

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

Recoil velocity of the rifle = v1

A bullet is fired with an initial velocity (v2) = 3500 m/s

Initially, the rifle is at rest.

Thus, its initial velocity (v) = 0

The total initial momentum of the rifle and bullet system⇒  (m1+m2) × v = 0

The total momentum of the rifle and bullet system after firing= m1v1 + m2v2= (4 × v1 ) + (0.05 × 3500)

= 4v1 + 175

According to the law of conservation of momentum ~

Total momentum after the firing = Total momentum before the firing

4v1 + 175 = 0

v1 = 175/4

v1 = 43.75 m/s