(Solved): Find the hydrostatic force on the face of a vertical floodgate in the shape of an isosceles triangl ...

Find the hydrostatic force on the face of a vertical floodgate in the shape of an isosceles triangle whose base is \( a=5 \mathrm{~m} \) and whose height is 1 m if its base is on the surface of the water. (Hint: Using SI units, \( \rho \mathrm{g}=9800 \mathrm{~N} / \mathrm{m}^{3} \).) (Express numbers in exact form. Use symbolic notation and fractions where needed.)