From a rifle of mass 4 k abullet of mass 50g is fired with an initial velocity of 35 `ms^(-1)` Calculate the initial recoil velocity of the rifle

Explanation

Mass `(m_(1))` of the rifle 4 kg
Mass (mg) of the bullet - 50g-0.05 kg
Initial velocity `(u_(1))` of the rifle=0
Initial velocity `(u_(2))` of the bullet 0
Final velocity `(V_(2))` of the bullet 35 `ms^(-1)`
Final velocity `(v_(1))` of the rifle ?
According to the law of conservation of momentum,
`m_(1)v_(1)+m_(2)v_(2)=m_(1)u_(2)`
`therefore 4xxv_(1)+0.05xx35=4xx0+0.05xx0`
`therefore 4v_(1)=-0.5xx35`
`therefore v_(1)=-(0.05xx35)/(4)=-0.44 ms^(-1)`