A tool is installed on the platform. The weight of the platform with the gun is M = 15 tons. The gun fires upwards at an angle of 60° to the horizon in the direction of the path. With what speed will the platform roll due to recoil if the mass of the projectile is m = 20 kg and it flies out at a speed of 600 m/s?

A detailed solution with a brief note of the conditions, formulas and laws used in the solution, the derivation of the calculation formula and the answer.