The intake for a hydroelectric facility sits 80m below the surface of the reservoir that provides water to the facility. The outflow sits 100m below the intake. a) Assuming that the intake velocity is small compared to the outflow velocity, use the Bernoulli equation to derive an equation for the outflow velocity. b) What does the above assumption say about the intake area -vs-? the outflow area? c) If the outflow velocity is only 40m/s second, and if frictional losses can be ignored, how much energy is being absorbed by the turbines per unit mass of fluid moving through? d) Starting from the energy conservation equation for open systems, what assumptions have to be made in order to get the Bernoulli equation?