Question

Approximately 1.0 x 106 kg of water falls 45 m over a waterfall each second. (a) What is the decrease in the gravitational potential energy of the water-Earth system each second? (b) If all this energy could be converted to electrical energy (it cannot be), at what rate would electrical energy be supplied? (The mass of 1 m3 of water is 1000 kg.) (c) If the electrical energy were sold at 3.3 cent/kW·h, what would be the yearly income in dollars?

Answer 1

Mas of woler her sec accelaration due to 9.8то hravtational Potential oug 46,746 Wotts ) Al Gnavitational PE i sonverte t Electrical Ereygy RE sec P.E Jo6 x q,8 x 4S Rati of ELeitu eal ч6, 746 Wotis . MЯ Эhh '9h Eleitrice Energy nate e kW akd for 4 hown sald at 3.3 cent o.033 dallers No. howrsin 8760 howrs 365 x 24 eors rato per 4 kw Electrical Enegy 8760 hounь bold at 289, 08 dallars kw O.033 x 876 0 E Enengy foaded in 4 sec Emeagy hadued 46, 746 kW 46. 746 x 3600 kW )68,286, 6 kW Aттиа! ncoтe 289,08 x 168, 36.6 te dallars 8, 648,00l dallars Scanned with CamScanner