Hoover Dam was built in the 1930s to provide electricity for the southwest U.S. and to prevent the wild Colorado River from flooding. Hoover Dam is about 380 m wide and is about 221 m high. Assume that Hoover Dam can be approximated by slab geometry with a width of 380 m (W). What is the total force (newtons) on the dam face if the water level from Lake Mead (holding basin for Hoover Dam) is 212 m? Assume the density of water in Lake Mead is 1000 kg/m3. (Hint: you should be able to do this problem without doing an integral. Ask yourself, how does pressure vary with depth along the wall of the dam? Therefore, at what depth will the pressure equal its average over the whole face of the dam?)