(a) How much gravitational potential energy (in ]) (relative to the ground on which it is built) is stored in an Egyptian pyramid, given its mass is about 8 x 10 kg and its center of mass is 40.0 m above the surrounding ground? (Enter a number. ) X J (b) What is the ratio of this energy to the daily food intake of a person (1.2 x 10' J)? (Enter your answer as a ratio to the number 1. Enter a number. ) X :1 A hydroelectric power facility converts the gravitational potential energy of water behind a dam to electric energy. ( For each answer, enter a number. ) (a) What is the gravitational potential energy (in ]) relative to the generators of a lake of volume 52.0 km (mass = 5.20 x 1018 kg), given that the lake has an average height of 49.0 m above the generators? * J (b) Compare this with the energy stored in a 9-megaton fusion bomb. Elake/bomb = X