Water $(1000$ kg$/$m$^3$ density$)$ flows through a short garden hose at a rate of $40k\frac{g}{m}in.$ The velocity at the inlet of the hose $($horizontal$)$ is $1\mathrm{.}5\frac{m}{s}$ and at the outlet is $16\frac{m}{s}.$ The hose makes a $90$ degree turn $($vertical$)$ before the water is discharged to atmospheric pressure. lgnoring the weight of the hose and water, and any frictional losses in the system, the magnitude of the reaction force in the horizontal direction needed to hold the hose in place $($in $N)$ is