From a rifle of mass 4 kg, a bullet of mass 50 g is fired with an initial velocity of 35 m s⁻¹. Calculate the initial recoil velocity of the rifle.

Open in App

Solution

Mass of the rifle,

Mass of the bullet,

Recoil velocity of the rifle =

Bullet is fired with an initial velocity,

Initially, the rifle is at rest.

Thus, its initial velocity, v = 0

Total initial momentum of the rifle and bullet system

Total momentum of the rifle and bullet system after firing:

According to the law of conservation of momentum:

Total momentum after the firing = Total momentum before the firing

The negative sign indicates that the rifle recoils backwards with a velocity of 0.4375 m/s.

Suggest Corrections

Similar questions

Q. Question 3
From a rifle of mass 4 kg, a bullet of mass 50 g is fired with an initial velocity of 35 m

s^{- 1}

. Calculate the initial recoil velocity of the rifle.

From a rifle of mass $4 k g$ , a bullet of mass $50 g$ is fired with an initial velocity of $35 m s^{- 1}$ with respect to the ground. Calculate the initial recoil velocity of the rifle.

From a rifle of mass 4 kg, a bullet of mass 50 g is fired with a velocity of $35 m s^{- 1}$ .The recoil velocity of the rifle is:

Q. From a rifle of mass

5 k g

, a bullet of mass

50 g

is fired with a velocity of

100 m s^{- 1}

with respect to the ground. Calculate the initial recoil velocity of the rifle.

From a rifle of mass 4kg, a bullet of mass 50g is fired with a initial velocity of 20m/s.Calculate initali velocity of the rifle?

Join BYJU'S Learning Program

From a rifle of mass 4 kg, a bullet of mass 50 g is fired with an initial velocity of 35 m s−1. Calculate the initial recoil velocity of the rifle.

From a rifle of mass 4 kg, a bullet of mass 50 g is fired with an initial velocity of 35 m s⁻¹. Calculate the initial recoil velocity of the rifle.