Question

Explain recoil velocity and derive formula.

Answer 1

*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 itrecoils is called as Recoil Velocity.Derivation For recoil velocity of Gun: ... Total momentum before recoil = Total momentum after recoil.*

Answer 2

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.

Hope it helps :D