A jet of water (density of $1000$ $kg/m^3$) from a nozzle travels in the $x$ direction, initially along the surface of a vane. A short distance later, the vane curves downward and the jet is deflected through an angle of $60^{\circ}$. The jet initially has a mean velocity of $U_0$ $=$ $30$ $m/s$ and it leaves the vane with a mean velocity of $U_1$ $=$ $25$ $m/s$. If the discharge rate from the nozzle is $0.8$ $kg/s$, calculate the magnitude of the resultant force on the vane (if the vane is stationary).

A. $4N$
B. $14N$
C. $17.3N$
D. $20.4N$
E. $22.3N$