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Answer intially the rifle is at rest
thus its initial velocity , v = O
total intial momentum of the rifle and bullet system = ( m1 + m2 ) v = O
Total momentum of the rifle and bullet system after firing = m1 v1 + m2 v2 = 0 . 05 - 35 = 4v1 + 1. 75
according to the law of conservation of momentum :
total momentum after the firing = total momentum before the firing
4v1 = 75 / 4 = 0 . 4375 m / s
the negative sign indicates that the rifle recoils backwards with a velocity of 0 . 4375 m / s
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