As shown in the figure below, a water jet with diameter $D_1$ and velocity $u_1$ impacts on a plate with a hole with diameter $D_2$. Part of the jet passes through the hole with velocity $u_1$, while the remaining part of the jet is deflected in vertical direction (see figure below).
Given $D_1 = 7cm$, $D_2 = 3cm$, $u_1 = 28m/s$, $u_2 = 22m/s$, and $\rho_w = 1000kg/m^3$, determine the horizontal force $F$ required to hold the plate.
(Note: When reporting your answer, consider that the force towards right is positive and left is negative.)
F =
N