$5-22$ Consider a river flowing toward a lake at an average speed of $\backslash (3\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ at a rate of $500\backslash (\backslash$mathrm$\{$m$\}^\{3\}/\backslash$mathrm$\{$s$\}\backslash )$ at a location $55$ m above the lake surface. Determine the total mechanical energy of the river water per unit mass and the power generation potential of the entire river at that location.

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$272\backslash$text $\{$ MW $\}$

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FIGURE P$4-22$