A hydroelectric power facility (see Figure 7.38) converts the gravitational potential energy of water behind a dam to electric energy. (a) What is the gravitational potential energy relative to the generators of a lake of volume 50.0 km3 (mass = 5.00×1013 kg), given that the lake has an average height of 40.0 m above the generators? (b) Compare this with the energy stored in a 9-megaton fusion bomb

Step-by-step solution 16PE Step 1 of 2 (a) The gravitational potential energy of an object of mass at a height is Substitute for , for , and for in the above equation. Hence, the gravitational potential energy of the water is .