I´ve been trying to solve this problem but I have been unable. I was able to solve part (a) but I can´t do part (b) I´d appreciate a lot if someone helped me.(adsbygoogle = window.adsbygoogle || []).push({});

the problem is the following:

Tidal power plants use "tidal energy" to produce electrical energy. To construct a tidal power plant, a dam is built to separate a bay from the sea. The amount of natural energy produced depends on the volume of the bay and the tidal range -- the vertical distance between high and low tides.

the basin is formed by a 3d rectangle with dimensions: 1000ft wide, 500 deep and 25 ft in height. The curve inside that 3d rectangle that is given by the function:

y= x(square)/40000 --> this is y=x*x/40000.

(a) Consider a basin with a rectangular base, as shown in the figure. The basin has a tidal range of 25 feet, with low tide corresponding to Y=0. How much water does the basin hold at high tide.

(b) The amount of energy produced during the filling (or the emptying) of the basin is proportional to the amount of work requiered to fill (or empty) the basin. How much work is requiered to fill the basin with seawater? (Use a seawater density of 64 pounds per cubic foot.)

I already answered part (a) but I'm not sure about part (b).

I´d appreciate some help.

Thanks

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# Homework Help: Tidal force energy analisis with calculus (help please)

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