A motor-driven centrifugal pump delivers \(15{ }^{\circ} \mathrm{C}\) water at the rate of \(10 \mathrm{~m}^{3} / \mathrm{min}\) from a reservoir, through a \(2500-\mathrm{m}\)-long, \(30-\mathrm{cm}\) I.D. plastic pipe, to a second reservoir. The water level in the second reservoir is \(40 \mathrm{~m}\) above the water level in the first reservoir. The pump efficiency is \(75 \%\). Find the motor output power. The pipe entrance is square edged.