An electric water pump is used to draw water from a well at a constant rate of 12 kg s-1, raising it through a vertical distance of 15 m and discharging it horizontally through a nozzle at a speed of 8 m s-1, as shown in the diagram below.
Given that the pump has an efficiency of 80%, find the input electrical power of the pump.
(Use g=9.8 m s−2g = 9.8\text{ m s}^{-2}g=9.8 m s−2)
1.72 kW1.72\text{ kW}1.72 kW
2.21 kW2.21\text{ kW}2.21 kW
2.69 kW2.69\text{ kW}2.69 kW
3.17 kW3.17\text{ kW}3.17 kW