Question

An old artillery gun not possessing an anti-recoil device, fires a cannon ball at an angle of 40° to the horizontal. The cannon ball has a mass of 10kg and an initial velocity of 200m/sec. What is the velocity of recoil of the gun if its mass is 500kg? Neglect friction.

Answer 1

Answer:

Explanation:

To determine the velocity of recoil of the gun it is necessary to take into account only the horizontal component of the projectile velocity, since the recoil due to the vertical component of this velocity will be absorbed by the reaction at the ground. the horizontal component of the velocity of the projectile is v_x = v₀cosα. According to the law of conservation of momentum, Mv₁ = mv_x, from which it follows that