$2\mathrm{.}3$ For GE J$-57$ turbojet, the following parameters are given:

pO $=14\mathrm{.}696$ psia

TO$=518\mathrm{.}7$ oR

static thrust $=$ F $($@Uo $=0\mathrm{.}0)=10200$ lbf

air mass flow rate $=164$ lbm$/$s

fuel mass flow rate $=8520$ lbm$/$hr

pe $=$ pO

a$.$ Determine Ue$.$

b$.$ For Mo $=0\mathrm{.}5,$ what is the thrust if Ue remains the same as above?

c$.$ What is the propulsion efficiency?

d$.$ If hPR $=18400$ BTU$/$lbm$,$ what are the thermal and overall efficiencies?