Answer:
[tex]V=-\dfrac{mv}{M}[/tex]
Explanation:
Given that
Mass of rifle = M
Initial velocity ,u= 0
Mass of bullet = m
velocity of bullet = v
Lets take final speed of the rifle is V
There is no any external force ,that is why linear momentum of the system will be conserve.
Initial linear momentum = Final linear momentum
M x 0 + m x 0 = M x V + m v
0 = M x V + m v
[tex]V=-\dfrac{mv}{M}[/tex]
Negative sign indicates that ,the recoil velocity will be opposite to the direction of bullet velocity.
