## Find out the recoil-velocity of the gun, Mechanical Engineering

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Find out the recoil-velocity of the gun:

As shell of mass 200 gm is fired at a velocity of 50 metres/second by a gun of mass 20 kg. Find out the recoil-velocity of the gun.

Solution

Since initially shell and gun both are at rest

mg Vg (2)  + ms Vs (1)  = 0

∴ Vg (2)  = recoil of gun = - (ms Vs (2)  )/mg

= (0.2 × 50 )/20

= - 0.5 m / sec.

Negative sign defined that the gun moves in a direction opposite to that of the shell since reaction on the gun is along opposite direction to the motion of shell.

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