$(45$ points$)$ Consider the jet engine inside an F$-16$ Fighter Jet $($shown below$).$ The plane is flying at steady$-$state conditions $($constant speed$).$ Air travels into the inlet at a speed of $160\frac{m}{s}.$ The air density at the inlet is $0\mathrm{.}66k\frac{g}{m^3},$ and the area of the inlet is $1\mathrm{.}96m^2.$ Inside of the engine, jet fuel is added to the combustion chamber at a rate of $1\mathrm{.}6k\frac{g}{s},$ at negligible speed. The exhaust has a density of $0\mathrm{.}47k\frac{g}{m^3},$ and the area of the exhaust is $1\mathrm{.}74m^2.$ The pressure at the inlet and the exhaust is atmospheric pressure.

$(5$ points$)$ Can you use Bernoulli's equation on a streamline connecting the inlet and the exhaust? If no$,$ justify your answer.

$(10$ points$)$ What is the exhaust velocity $($in $\frac{m}{s})?$

$(20$ points$)$ What is the thrust force? $($The thrust force is the force that the air going through the engine exerts on the airplane.$)$ Indicate a magnitude and direction $($either to the left or to the right$).$

$(10$ points$)$ What is the moment $($about point $A)$ created by the engine? $($Point $A$ is in$-$line with the inlet, and $0\mathrm{.}72$ m below the exhaust.$)$ Indicate a magnitude and direction $($either clockwise or counterclockwise.$)$