(Solved): A trough whose cross section is a trapezoid is \( b=8 \mathrm{~m} \) across at the bottom, \( a=14 ...

A trough whose cross section is a trapezoid is \( b=8 \mathrm{~m} \) across at the bottom, \( a=14 \mathrm{~m} \) across at the top, and \( 6 \mathrm{~m} \) deep. If the trough is filled to \( 1 \mathrm{~m} \) with water, what is the force due to water pressure on one end of the trough? (Hint: Using SI units, \( \rho g=9800 \mathrm{~N} / \mathrm{m}^{3} \).) (Use decimal notation. Give your answer to two decimal places.) \( F \)