Answer:
The work done by the crane is, W = 441000 J
The power of the crane is, p = 3675 watts
Explanation:
Given data,
The mass of the object, m = 900 kg
The object is lifted to the height, h = 50 m
The time taken to lift the mass, t = 2 min
= 120 s
The work done by the crane on the object is equal to the potential energy of the object at that height. It is given by the formula,
W = P.E = mgh joules
Substituting the values in the above equation
W = 900 kg x 9.8 m/s² x 50 m
= 441000 J
The work done by the crane is, W = 441000 J
The power of the crane,
P = W / t
= 441000 J / 120 s
= 3675 watts
Hence, the power of the crane is, p = 3675 watts
