A sluice gate, which controls flow rate in a channel by simply raising or lowering a vertical plate, is commonly used in irrigation systems. A force is exerted on the gate due to the difference between the water heights $y_1$ and $y_2$ and the flow velocities $V_1$ and $V_2$ upstream and downstream from the gate, respectively. Disregarding the wall shear forces at the channel surfaces, find the force $($in $kN)$ acting on a sluice gate of width w during steady and uniform flow. Take $y_1=21m,y_2=6m,$ and $w=7m.$

Answer using vector notation with either MATLAB or Python formatting $($e$.$g$.0,0$ or $\left[\begin{array}{cc}0& 0\end{array}\right]).$

$[F_x,F_y]=$