If a crane worker lifts a crate with a mass of 200 kg from the ground to a
shipping container that is 45 meters off the ground, by how much has the
worker increased the gravitational potential energy of the crate? (recall that g
= 9.8 m/s2)

a. 88,200 j
b. 31,900 j
c. 63,500 u
d. 48,100 j

A. 88,200 J

Explanation:

Given data,

The mass of the crate, m = 200 kg

The height of the shipping container, h = 45 m

The gravitational of a body is possessed by the body due to the virtue of its position.

The formula for gravitational potential energy is,

                                 P.E = mgh joules

Substituting the values

                                  P.E = 200 x 9.8 x 45

                                         = 88,200 J

Hence, the gravitational potential energy of the crate is, P.E = 88,200 J