A trough whose cross section is a trapezoid is b = 6 m across at the bottom, a = 8 m across at the top, and 2 m deep. If the trough is lled to 1 m with water, what is the force due to water pressure on one end of the trough? W. b (Hint: Using SI units, pg = 9800 N/m3.) (Use decimal notation. Give your answer to two decimal places.) Here is one **possible** orientation: Suppose a plate is suspended vertically in a fluid of mass density p. Suppose further that the plate is placed in a rectangular coordinate system and is enclosed by y = c, y = d, x = g(y), and x = f(y), where f and g are functions that are continuous on a closed interval [c, d] and f(y) 2 g(y) 2 0 for all numbers y in [c, d]. The surface of the fluid is the line y = H, where H 2 d. Then, the hydrostatic force F due to the pressure exerted by a fluid on the plate is F = pg(H - y)[f(y) - g(y)] dy Enter text