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? Safari File Edit View History Bookmarks window Help es ? 39% CO Wed 8:31 PM a webassign.net ? CH 14 Physics question | Chegg.com 20. + -13 points SerPSET9 14.P.046. My Notes Ask Your Teacher Water falls over a dam of height h with a mass flow rate of I in units of kilograms per second. (a) Show that the power available from the water is given by the following equation where g is the free-fall acceleration. (Submit a file with a maximum size of 1 MB.) Choose File no file selected This answer has not been graded yet. Each hydroelectric unit at a dam takes in water at a rate of 7.70 x 105 kg/s from a height of 51.0 m. The power developed by the falling water is converted to electric power with an efficiency of 85.0%. How much electric power is produced by each hydroelectric unit (in MW)? (b) MW Need Help?Read It

Explanation / Answer

a) we know that power = work or energy/time

power = mgh / t  

or, we can write as

power = (m/t ) *gh

note, it is given that m/t = Iv (kg/s)

so, Power P = Iv*g*h

b) P = 0.85*7.70e5*9.8*51

P = 327.12 MW

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