Water from the reservoir flows through the $\backslash (150-\backslash$mathrm$\{$m$\}\backslash )-$long, $\backslash (50-\backslash$mathrm$\{$mm$\}\backslash )-$diameter pipe into the turbine at $\backslash ($ B $\backslash ).$ The head loss in the pipe is $2\mathrm{.}1$ m for every $\backslash (100-\backslash$mathrm$\{$m$\}\backslash )$ length of pipe, and the water exits the pipe at $\backslash ($ C $\backslash )$ with an average velocity of $\backslash (9\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ The turbine operates with $\backslash (75\backslash \%\backslash )$ efficiency. $($Figure $1)$

Part A

Determine the power output of the turbine.

Express your answer to three significant figures and include the appropriate units.

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$\backslash$dot$\{$W$\}=$

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