A stream of water is pumped at a flow rate of 1m3/s through a pipe from lake A to lake C (which is situated higher than lake A ) over the top of a mountain (B). The height h1 from the mountain in respect to lake A is 200m, while the height h2 with respect to lake C is 50m (see figure). Calculate the electric power needed for the pump if given that the mechanical efficiency of the pump is 80%. Neglect the effects of friction in the pipes