Question

recoil velocity formula plz urgent

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 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=0

If 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.

So simply formula is V=-mv/M