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 J) relative to the generators of a lake of volume 29.0 km³ (mass = 2.90 x 10¹3 kg), given that the lake has an average height of 35.0 m above the generators? J (b) Compare this with the energy stored in a 9-megaton fusion bomb. Elake/bomb =

Suppose that in one year a country produces 2.77 × 10'' kilowatt-hours (kWh) of electrical energy from 4148 hydroelectric plants (1.00 kWh = 3.60 × 10° J). On average, each plant is 90.0% efficient at converting mechanical energy to electrical energy, and the average dam height is 50.0 m. At 2.77 x 10!1 kWh of electrical energy produced in one year, what is the average power output Payg per Pavg W %3D hydroelectric plant? What total mass of water m flowed over the dams during that year? m = kg What was the average mass of water mavg per dam that provided the mechanical energy to generate the electricity? mavg kg What was the average volume of water Vavg per dam that provided the mechanical energy to generate the electricity? (The density of water is 1000 kg/m³.) Vavg m %3D A gallon of gasoline contains 4.50 × 10' J of energy. How many gallons n of gasoline did the 4148 dams save? n = gal MacRook Pro

When the Glen Canyon hydroelectric power plant in Arizona is running at capacity, 690 m3 of water flows through the dam each second. The water is released 220 m below the top of the reservoir. If the generators that the dam employs are 90% efficient, what is the maximum possible electric power output?

(a) Compute the electrical energy used by a household whose monthly electrical bill is $43, computed at the rate of $0.05 per kWh.(b) How long could this energy be used to burn ten 60 W light bulbs?(c) If this energy were used to raise a car of mass 1985 kg, to what height would the car be raised?