Question

mv
using the Law of conservation of momentum,
Show that the recoil velocity (v) of a gun is
given by v=-mv/M
Where M is the mass
of the
gun , m and v are the mass
and velocity of the bullet respectively​

Answer 1

Answer:

Recoiling of gun is an example of Law of conservation of Momentum .

Explanation:

Given :

M = Mass of gun , m = Mass of bullet , V = Velocity of gun , v = Velocity of bullet

Initial Momentum before firing : Gun is in rest .

= M(0) + mv

Final Momentum : Bullet comes to rest

= M×V

According to Law of conservation of momentum , Initial momentum before firing is equal to Final momentum after firing . mv = MV , v = - MV/m . Negative direction indicates that bullet and gun moves in opposite direction .