Consider a turboprop engine with the following parameters $($note that the nozzle is convergent$)$:

Mass flow rate at station $9=20k\frac{g}{s}$

$V0=220\frac{m}{s}$

$$ prop $=0\mathrm{.}80$

$$ mLPT $=0\mathrm{.}99$

Calculate

$($a$)$ propeller thrust Fprop in kN

$($b$)$ nozzle gross thrust Fg$,$core in kN

$($c$)$ M$9$