A trough is 5 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of from to . The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The weight of water is pounds per cubic foot.
I know this problem could be solved by
Work = density * weight * distance traveled by the center of the mass.
I'm having trouble finding the weight. I'm not sure if i should