A small jet that has passenger windows which are$30$ cm$$by$45$cm$$is flying at a speed of$170$m$/$s$.$The pressure inside the plane is atmospheric pressure and the density of air in the plane is$1\mathrm{.}29$ kg$/$m$3.$ Determine the following.

$($a$)$ pressure difference between the inside and outside of the window

$$Pa

$($b$)$ force exerted on the window by this pressure difference

$$N