$4)(25$ pts$)$ Water $(\backslash (\backslash$left$.\backslash$rho$=998\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$m$\}^\{3\}\backslash$right$)\backslash )$ flows from a higher reservoir to a lower reservoir. There is a turbinegenerator system in between which provides $45$ kW of electrical power. Reservoirs are very large and they are open to atmosphere. The free surface of the upper reservoir is $105$ m higher than that of the lower reservoir. If the flow rate of water is measured to be $\backslash (0\mathrm{.}05\backslash$mathrm$\{$~m$\}^\{3\}/\backslash$mathrm$\{$s$\}\backslash ),$ determine the efficiency of the turbine$-$generator system. An engineer proposed to double the flow rate in order to increase the electrical power output. Knowing that the losses in the turbine$-$generator system are going to be proportional to the square of the flow rate, how much will the efficiency of the system be affected for this case? $($fluid mechanic question for mechanical engineering$)$