$2.$ The pump shown in Figure $2$ adds $10$ horsepower $\backslash ((7\mathrm{.}46\backslash$mathrm$\{$~kW$\})\backslash )$ to the water as it pumps water from the lower lake to the upper lake. The elevation difference between the lake surfaces is $9\mathrm{.}14$ m and the head loss is $4\mathrm{.}57$ m $.$

Determine: the flowrate and the power loss associated with this flow.

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Figure. $2$