A hinged gate is located under an elevated dock in a freshwater reservoir as shown in Figure 2.70. The hinge is located 0.5 m from the bottom of the reservoir, and the top of the gate is 0.7 m above...

A hinged gate is located under an elevated dock in a freshwater reservoir as shown in Figure 2.70. The hinge is located 0.5 m from the bottom of the reservoir, and the top of the gate is 0.7 m above the hinge. The width of the gate is 3 m. (a) What depth of water, h, will cause the gate to open? Assume water at 20◦C. (b) Show that the depth of liquid required to open the gate is independent of the density of the liquid. Note that the gate consists of a single 1.2 m × 3 m rectangular piece and that the dock offers no resistance to the rotation of the gate.