3. in this exercise we will compare the hydrostatic force acting on a trapezoidal dam to that on a hyperbolic dam. Hoover Dam 220m tall, 380m long at the top and 200m long at the bottom. Assume that Lake Mead (the lake that Hoover dam is holding back) is at 200m in depth. Assume that the face of Hoover Dam is flat and vertical. _ note: The assumption that Hoover Dam has a flat, vertical face is necessary to simplify our computations, but is definitely not the case physically. A dam is generally curved (in towards the body of water) to exploit the added strength of such a shape. a. Compute the hydrostatic force acting on Hoover Dam if we assume the dam is shaped like a trapezoid. It b. Compute the hydrostatic force acting on Hoover Dam if we assume that the dam is x2 y2 shaped like a hyperbola (7 I = 1). hint: set the origin at the middle of the base of the dam and then compute a and b