$2-2-27$ A $5$ cm diameter pipe discharges water into the open atmosphere at a rate of $20k\frac{g}{s}$ at an elevation of $20$ m $.$ The temperature of water is $25C$ and the atmospheric pressure is $100$ kPa $.$ Determine $($a$)J^{},($b$)E^{},($c$)K^{}E,($d$)H^{},$ and $($e$)W_F^{}.($f$)$ How important is the flow work transfer compared to kinetic and potential energy carried by the mass? Use the SL flow$-$state TESTcalc.