A fireboat is to fight fires at coastal areas by drawing seawater with a density of 1030 kg/m³through a 10-cm-diameter pipe at a rate of 0.04 m³/s and discharging it through a hose nozzle with an exit diameter of 5 cm. The total irreversible head loss of the system is 3 m, and the position of the nozzle is 3 m above sea level. For a pump efficiency of 70 percent, determine the required shaft power input to the pump and the water discharge velocity.

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3 m