Question

A bullet of mass 25g is fired with an initial velocity 150m's What is its recol velocity if the weight of the rifle is 3kg​

Answer 1

Question-

A bullet of mass 25g is fired with an initial velocity of 150m/s What is its recoil velocity if the weight of the rifle is 3kg​

Answer-

m1 = 25g = 0.025 kg

m2 = 3 kg

u1 = 150 m/s

u2 = ?

v1 = 0 m/s

v2 = 0 m/s

Using law of conservation of momentum

m1v1 + m2v2 = m1u1 + m2u2

⇒ 0.025(0) + 3(0) = 0.025(150) + 3(u2)

⇒ 0 = 3.75 + 3(u2)

⇒ 3(u2) = -3.75

⇒ u2 = -3.75/3

⇒ u2 = -1.25

The recoil velocity of the gun is 1.25 m/s