Answer to Question #130206 in Physics for Elvis

Question

. A lake is 10 m deep and 1 km by 1 km in area. All the water goes over a waterfall of 300 m high. How much electrical energy is produced at 100% efficiency from this energy supply?

Answer 1

The mass of water in a lake

$$m=\rho V\\ =1000\:\rm kg/m^3\times 10\: m\times 1000\: m\times 1000\: m=10^{10}\: kg$$

The amount of energy

$$E=mgh\\ =10^{10}\:\rm kg\times 9.8\: N/kg\times 300\: m=2.94\times 10^{13}\:\rm J$$