You have been asked to do an analysis of a pump that will transfer a fluid. The inlet to a pump has a diameter of 0.35 m, and the pressure to the pump is 2500 kg/m-s². The outlet from the pump has a diameter of 0.15 m and a pressure of 6000 kg/m-s². The fluid being pumped has a viscosity of 1.09 × 10^-3 kg/m-s and a density of 600 kg/m³. The outlet from the pump is located 5 m higher than the inlet. In your analysis, assume that there is no temperature change between the inlet and outlet, and that the system is running at steady state. Please determine the amount of power that the pump must add to the fluid to maintain a constant flow rate of 10 m³/s.