A bullet of mass $50 g$ is fired with a speed of $200 m / s$ from a gun of mass $2 k g$ . Find the recoil velocity (in $m / s$ ) of the gun.

Open in App

Solution

Given, mass of bullet, $m = 50 g = 0.05 k g$
Speed of the bullet, $u = 200 m / s$
Mass of the gun, $M = 2 k g$
Since for (gun $+$ bullet) the system, the external force is zero.
Hence by momentum conservation

Initial momentum $=$ Final momentum

$0 = m u + M v$

$0 = 50 \times 10^{- 3} \times 200 + 2 v$

$v = - 5 m / s$
where the $- v e$ sign indicates that the velocity of gun is opposite to that of the bullet.

Suggest Corrections

Similar questions

Q. A 60 g bullet fired from a 5 kg gun leaves with a speed of 500 m/s. Find the speed (velocity) with which the gun recoils (jerks backwards).

Q. A gun of mass 5 kg a 50 g bullet with a velocity of 200 m/s. The recoil velocity of the gun is:

A bullet of mass 0.02kg is fired from a gun weighing 7.5 kg .if the initial velocity of the bullet is 200 m/ s ,calculate the speed with which the gun recoils.

Q. A man fires a bullet of mass

200 g

at a speed of

5 m / s

. The gun is of mass

1 k g

. The velocity with which the gun will recoil backward is:

A projectile weighing 200 kg is fired from a gun with a velocity of 500 m/s. If the velocity of recoil of the gun is 12.5 m/s. Calculate the mass of the gun.

Join BYJU'S Learning Program

Explore more

Freefall & Motion

Standard IX Physics

Join BYJU'S Learning Program

A bullet of mass 50 g is fired with a speed of 200 m/s from a gun of mass 2 kg. Find the recoil velocity (in m/s) of the gun.

A bullet of mass $50 g$ is fired with a speed of $200 m / s$ from a gun of mass $2 k g$ . Find the recoil velocity (in $m / s$ ) of the gun.