An elevator car weighing 500 kg is lifted by a crane 30 meters in 15 seconds.

An elevator car weighing 500 kg is lifted by a crane 30 meters in 15 seconds. Determine the average lifting power of the crane.

Data: mk is the mass of the elevator car (mk = 500 kg); h – cabin lift height (h = 30 m); t is the duration of the lift of the cabin (t = 15 s).

Const: g – acceleration due to gravity (g ≈ 9.81 m / s2).

To find out the average power of the crane that lifted the presented elevator car, consider the formula: Px = A / t = ΔEp / t = mk * g * h / t.

Calculation: Px = mk * g * h / t = 500 * 9.81 * 30/15 = 9810 W.

Answer: The crane that lifted the presented elevator car has an average power of 9.81 kW.