The crane lifts a 1000 N load vertically upwards to a height of 5 m in 10 s.

The crane lifts a 1000 N load vertically upwards to a height of 5 m in 10 s. What is the mechanical power of the crane during this lift?

P = 1000 N.

h = 5 m.

g = 10 m / s2.

t = 10 s.

N -?

Power N is called a scalar physical quantity that shows the speed of performing mechanical work A. Power N is determined by the formula: N = A / t.

When lifting a load, the crane performs mechanical work A, the value of which is determined by the formula: A = F * h, where F is the crane force, h is the height of the load.

If we assume that the load was lifted uniformly in a straight line, then the lifting force of the crane F is equal to the weight of the body P: F = P.

Formula for crane power N will be determined by the formula: N = P * h / t.

N = 1000 N * 5 m / 10 s = 500 W.

Answer: the crane has a power of N = 500 W.