Question

Explain recoil velocity and derive formula.

Answer 1

Gun owners are often interested in recoil velocity, but they aren't the only ones. There are many other situations in which it's a useful quantity to know. For example, a basketball player taking a jump shot may want to know his or her backwards velocity after releasing the ball to avoid crashing into another player, and the captain of a frigate may want to know the effect the release of a lifeboat has on the ship's forward motion. In space, where frictional forces are absent, recoil velocity is a critical quantity. You apply the law of conservation of momentum to find recoil velocity. This law is derived from Newton's Laws of Motion

Answer 2

HEY!!

When a bullet is fired from the gun, due to reaction force , the gun recoils in the direction opposite to the motion of bullet. The  velocity with which it recoils is called as Recoil Velocity.

Derivation For recoil velocity of Gun:

Initial velocity of gun and bullet are at rest.

Hence u1 and u2 =0

let m and M be the mass of bullet and gun respectively.

The sum of momentum before firing bullet is zero.

mu1+Mu2=0If v1 and v2 are the final velcoities of bullet and gun receptively after firing.

Then According to law of conservation of momentum

Total momentum before recoil = Total momentum after recoil.

0=mv1+Mv2

Therefore,

Mv2=-mV1V2

= -mV1/M

This the recoil velocity of Gun.

Here negative sign indicates that the direction of velocity of the gun is opposite to the direction of velocity of bullet.

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