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A trough is 7 meters long, 1.5 meters wide, and 1 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 1 meters, and base, on top, of length 1.5 meters). The trough is full of water (density 1000kg/m^3). Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use g=9.8m/s^2 as the acceleration due to gravity.)

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