$2\mathrm{.}5{10}^{-3}{m}^3.$ The entrance to the nozzle has a diameter, $D_1=8cm,$ while the exit has a diameter, $D_2=2cm.$ At the nozzle entrance the velocity is uniform over the cross section at $3\frac{m}{s}.$ Additionally, at the entrance the pressure is $p_1=350000Pa$ absolute$,$ and $A=16.$ The velocity at the exit is uniform over the exit cross$-$sectional area.

Determine the reaction force exerted in the y$-$direction by the nozzle on the coupling to the inlet pipe in newtons