Question $\backslash (2(20\backslash$mathrm$\{$~min$\})\backslash )$ : A speed boat is powered by the jet drive shown. Seawater is drawn into the pump housing $0\mathrm{.}75$ m below water surface at the rate of $\backslash (0\mathrm{.}56\backslash$mathrm$\{$~m$\}^\{3\}/\backslash$mathrm$\{$s$\}\backslash )$ through a $15$ cm diameter intake $\backslash ($ A $\backslash ).$ An impeller accelerates the water and forces it out horizontally at the surface of the water through a $10$ cm diameter nozzle B $.$ The specific gravity of the seawater is $\backslash (\backslash$mathrm$\{$SG$\}=1\mathrm{.}03\backslash ).$

a$)$ What are the pressures at points $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash )?$

b$)$ Determine the discharge velocity at $\backslash ($ B $\backslash ).$

c$)$ What is the force on the engine case if we ignore the losses due to friction?