The crane evenly lifts a pallet with bricks weighing 200 kg to a height of 40 m in 1 minute

The crane evenly lifts a pallet with bricks weighing 200 kg to a height of 40 m in 1 minute. What mechanical power does the crane develop?

t = 1 min = 60 s.

m = 200 kg.

g = 10 m / s2.

h = 40 m.

N -?

Power N is a scalar physical quantity that shows how quickly mechanical work is done. Power N is determined by the formula: N = A / t, where A is mechanical work, t is the time during which the work is performed.

When a crane lifts a load of mass m to a height h, mechanical work is performed: A = m * g * h, where g is the acceleration of gravity.

N = m * g * h / t.

N = 200 kg * 10 m / s2 * 40 m / 60 s = 1333 W.

Answer: the power of the crane is N = 1333 W.