Cooling water is pumped from a reservoir to drills at the site of a geothermal power plant. The drills are located \(150 \mathrm{~m}\) above the level of the pump and the distance from the pump to the job site is \(250 \mathrm{~m}\). The flow rate of water, used to fracture the rock, is to be \(2.5 \mathrm{~m}^{3} / \mathrm{min}\). At the job site, the water leaves the injection nozzle at a velocity of \(35 \mathrm{~m} / \mathrm{s}\). The pipe diameter delivering the water is \(10.16 \mathrm{~cm}\).

a. Determine the minimum supply pressure required at the pump outlet.

b. Estimate the required power input to the pump if the pump efficiency is \(65 \%\).

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Flow P FIGURE P11.18 P Anchoring Force