A $2\mathrm{.}5-$cm$-$diameter horizontal water jet with a speed of $V_j=40\frac{m}{s}$ relative to the ground is deflected by a $60$ stationary cone whose base diameter $D_C$ is $0\mathrm{.}270$ m $.$ The water speed along the cone varies linearly from zero at the cone surface to the incoming jet speed of $40\frac{m}{s}$ at the free surface. Disregarding the effect of gravity and the shear forces, determine the horizontal force $F$ needed to hold the cone stationary. Take the density of water to be $1000k\frac{g}{m^3}.$

The horizontal force Fneeded to hold the cone stationary is $$ N$.$