Question

From a rifle of mass 4kg , a bullet a mass 50g is fired with an initial velocity of 35 m/s -¹ .Calculate the initial recoil velocity of rifle .​

Answer 1

Answer:

Mass of the gun M = 4 kg.

Mass of bullet M = 50 g = 50 × 10-³kg

Initial velocity of the bullet v = 35ms-¹

Let recoil velocity of the gun be vms-¹

Before firing the bullet both gun and bullet were in rest so total momentum of gun and bullet is zero, After firing

Momentum of bullet = mv,

Momentum of gun = Mv

Total momentum of bullet and gun after firing = mv + Mv

Since there is no external force applied on the system.

So total momentum after firing = total momentum before firing

mv + Mv = 0

Mv = -mv

fi V = mv/M = 50×10-³×35/4 = -0.44ms-¹

Here negative sign shows that there recoil velocity of the gun is in the direction opposite to the velocity of the bullet.

Explanation:

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