A trough is 12m long, 5m wide, and 2m deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 2m, and base, on top, of length 5m). The trough is full of water (density 1000kg/m^3 and g=9.8m/s^2is the acceleration due to gravity). a) Find the amount of work in joules required to empty the trough by pumping the water over the top. b.Find the amount of work in joules required to empty the trough by pumping the water out of a spout 3m high.

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A trough is 12m long, 5m wide, and 2m deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 2m, and base, on top, of length 5m). The trough is full of water (density 1000kg/m^3 and g=9.8m/s^2is the acceleration due to gravity).

a) Find the amount of work in joules required to empty the trough by pumping the water over the top.

b.Find the amount of work in joules required to empty the trough by pumping the water out of a spout 3m high.

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