A vertical dam has a semicircular gate as shown in the figure. The total depth $d$ of the figure is $10$ m $,$ the height $h$ of air above the water level is $2$ m $,$ and the width $w$ of the

gate is $10$ m $.$ Find the hydrostatic force $($in N$)$ against the gate. $($Round your answer to the nearest whole number. Use $9\mathrm{.}8\frac{m}{s^2}$ for the acceleration due to gravity. Assume

that the weight density of this water is $1,000k\frac{g}{m^3}.)$