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.

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.