The trough in the figure below has width w=4, lengthL=20 ft and height h=6.If the trough is full of water, find the force of the water on a triangular end. (Use the density of water =62.4 lb/ft3.)Force = Don't forget to enter unitsFind the work to pump all of the water over the top of the trough.Work =

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Asked Sep 28, 2019
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The trough in the figure below has width w=4, lengthL=20 ft and height h=6.

If the trough is full of water, find the force of the water on a triangular end. (Use the density of water =62.4 lb/ft3.)
Force = 
Don't forget to enter units

Find the work to pump all of the water over the top of the trough.
Work = 

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Expert Answer

Step 1

The base, height and length are 4ft, 6ft and 20ft, respectively.

Then the thickness of the triangle is (4/6) h Δh.

The distance that get after slicing the triangle is (6 – h).

Step 2

Then force ...

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Image Transcriptionclose

F =62.4(6-h)^hdh (6h-yh =62.4 6 h3 = 41.6 6 2 3 63 41.6 3(62) 3 - 41.6(108-72) 1497.6 1b

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Math

Calculus

Integration