A gun is installed on the railway platform. The mass of the platform with the gun is M = 15 tons. The gun shoots

univerkov | November 25, 2020 | education

A gun is installed on the railway platform. The mass of the platform with the gun is M = 15 tons. The gun shoots upward at an angle φ = 600 to the horizon in the direction of the path. With what speed should the platform roll as a result of recoil, if the mass of the projectile is m = 20 kg and it flies out at a speed of v2 = 600 m / s?

To solve the problem, we apply the law of conservation of momentum:
P1 = P2
m1v1 = m2v2 * cos60
v1 = m2v2 * cos60 / m1
v1 = 20 * 600 * 0.5 / 15000 = 0.4 m / s
Answer: 0.4

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