Please help! First correct answers will get full rating! A trough is 12m ling, 6

Question

Please help! First correct answers will get full rating!

A trough is 12m ling, 6m wide, and 3m deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 3m, and base, on top, of length 6m). The trough is full of water (density 1000kg/m3 and g = 9.8m / s2 is the acceleration due to gravity). Find the amount of work in joules required to empty the trough by pumping the water over the top. Find the amount of work in joules required to empty the trough by pumping the water out of a spout 4m high.

Explanation / Answer

a) integral of 2x(3-x)*12*1000*9.8 from x = 0 to x = 3 is: 1058400 J

b) integral of 2x(7-x)*12*1000*9.8 from x = 0 to x = 3 is: 5292000 J

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