The highest mobile crane is capable of lifting 30 tons of cargo to a height of 160 m at a speed of 2 m / s.

The highest mobile crane is capable of lifting 30 tons of cargo to a height of 160 m at a speed of 2 m / s. How much power does it develop?

Moving crane power:
P = A / t, where A is the work of lifting the load, t is the time of lifting the load (t = S / V, where S is the movement of the load (S = 160 m), V is the speed of lifting the load (V = 2 m / s) )).
The motion is rectilinear: A = F * S, where F is the applied force (F = m * g, m is the mass of the load (m = 30 t = 30,000 kg), g is the acceleration of gravity (g = 9.8 m / s ^ 2)).
P = A / t = F * S / t = m * g * S / (S / V) = m * g * V = 30,000 * 9.8 * 2 = 588,000 W = 588 kW.
Check: W = kg * (m / s ^ 2) * (m / s) = (kg * m ^ 2) / s ^ 3 = J.
Answer. Crane power 588 kW.