$(50$ pts$)$ An $80-$ft wide, rectangular stilling basin contains $16$ baffle blocks, each $2\mathrm{.}5$ ft high and $2\mathrm{.}5$ ft wide $($total frontal area, $A_f=100f{t}^2).$ The incoming flow has a depth of $2\mathrm{.}60$ ft at the design discharge of $9500f\frac{t^3}{s}.$ The density of water $()$ is $1\mathrm{.}94$ slugs $\frac{?}{f{t}^3}.$

Figure $1.$ Stilling basin with baffle blocks.

$($a$)(20$ pts$)$ Write conservation of mass, energy, and momentum equations for this control section. Write the equations as specifically as possible, defining whatever variables and assumptions are necessary. The drag force on the baffle blocks is given by

$F_D=C_D\frac{A_J{V}_1^2}{2}.$

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$($b$)(10pts)$ Calculate the drag coefficient, $C_D,$ for the baffle blocks, where $F_D=C_D\frac{A_J{V}_1^2}{2}.$

$($c$)(10$ pts$)$ Calculate the energy loss across the jump in feet $($ ft