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Michelle S.

asked • 04/12/17

A cattle trough has a trapezoidal cross section with a height of 100 cm and horizontal sides of width 100 cm and 50 cm.

A cattle trough has a trapezoidal cross section with a height of 100 cm and horizontal
sides of width 100 cm and 50 cm. Assume the length of the trough is 1000 cm. The
density of water is  = 1000 kg/m3.
(a) How much work is required to pump the water out of the trough when it is full?
(b) Determine the total force of the water on a trapezoidal face of the trough.
 
Already have that W = 20pg(1-y)xdy
and F = pg(1-y)2xdy
 
Not sure what bounds to use and how to write x in terms of y.

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