a rifle of 3kg fires a bullet of 100 g at initial velocity of 30m/s calculat the initial recoil
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Explanation:
Mass of the rifle (m1) = 3 kg
Mass of the bullet (m2) = 100g=0.1kg
Recoil velocity of the rifle = v1
A bullet is fired with an initial velocity (v2) = 30 m/s
Initially, the rifle is at rest.
Thus, its initial velocity (v) = 0
The total initial momentum of the rifle and bullet system
⇒ (m1+m2) × v = 0
The total momentum of the rifle and bullet system after firing
= m1v1 + m2v2
= (3 × v1 ) + (0.1 × 30)
= 3v1 + 3
According to the law of conservation of momentum
Total momentum after the firing = Total momentum before the firing
3v1 + 3 = 0
v1= -3/3
v1 = -1 m/s
The negative sign indicates that the rifle recoils backwards with a velocity of 1 m/s.
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