I am having trouble solving these problems, pleasehelp. Approximately 4.8 × 10 6

Question

I am having trouble solving these problems, pleasehelp.

Approximately 4.8 × 106 kg of water drops 43 mover Niagara Falls every second. How much potential energy is lostevery second by the falling water?

What would be the power output of an electricgenerating plant that could convert all of the water's potentialenergy to electrical energy?

If the utility company sold this energy at anindustrial rate of 1.9 cents per kW-hr, what would be their yearlyincome from this source? Give your answer in dollars.

Explanation / Answer

mass m = 4.8*10^6 kg height h = 43 m much potential energy is lost every second by the fallingwater U = mgh                                                                                                 = 2022.72 * 10 ^ 6 J                                                                                                  = 2022.72 * 10 ^ 6 W s                                                                                                  = 2022.72 * 10 ^ 3 kW -s                                                                                                  =2022.72 * 10 ^ 3 kW - ( 1/3600) h                                                                                                  =561.866 kW -h power out put per second P = 2022.72 * 10 ^ 6W energy produced in 1 year is E = U *365*24*3600 So, income   = E * 1.9 cents                     =  33666151680 cents                     =$ 336661516.8                       

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