A pump has a supply cord with 63 millimeter diameter and a pressure wire out of the pump with 50 millimeter diameter. The mass flow is m = 9kg / s. The oil is pumped, have the density p = 850kg / m ^ 3 and sent up a vertical drop of 20 meter. Pressures are measured at p1 = 20 kPa overpressure and p2 = 400kPa overpressure.
Find the power of the pump!