0 Question 4 v B ogs pts '0 65535 8 98 (3) Details e trough is 4 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y = mm from a: = 1 to :r = 1 . The trough is full of water. Find die amount of work in footpounds required to empty the trough by pumping the water over the top. Note: The weight of water is 152 pounds per cubic foot. 0 Question 1n v 8 nrs pts '0 65535 S 99 (9 Details A dam on a river is built so that the wall facing lire water is shaped like the region above We curve y = willaf'll and bElDW the line y = 120. {Here, distances are measured in meters.) The 1water level is 24 meters below the top of ihe dam. Find the force [in Newtons} exerted on the dam by water pressure. It (Water has a density of 10003, and lhe acceleration of gravity is 9.8 m .} 711.3 sec2 :l The zoo is building a new polar bear exhibit, and wants to put a semicircular window in the concrete wall of the swimming tank. (Note: picture is not to scale) If the semicircle has diameter 81] centimeters, and the bottom of the window is at a depth of 1.25 meters, nd the hydrostatic force on the window. 0 Question 5 v 8 ms pts '0 65535 8 99 6) Details A trough is 9 meters long, 3 meters wide, and 4 meters deep. The vertical crosssection of me trough parallel to an end is shaped like an isoceles triangle (with height 4 meters, and base, on top, of length 3 1: meters}. The trough is full of 1water [density IBMg3 ji. Find the amount of work in joules required to Ill m empty the trough by pumping lhe 1.iiirater over the top. (Note: Use 9 = 9.82 as the acceleration due to a gravity.) 0 Question I5 v 8 ms pts '5.) 55535 3 99 6) Details A circular swimming pool has a diameter of 1D m, the sides are 3 m high, and the depth of the water is 2.5 m. How much 1work: [in Joules) is required to pump all of the water over the side? (The acceleration due to kg m gravity is 9.8 and the density of water is lDD J 32 n13 . Question 7 0/5 pts ' 65535 99 Details Create a bucket by rotating around the yaxis the curve y = 4 In (@ - 3) from y = 0 to y = 5. If this bucket contains a liquid with density 820 kg/m3 to a height of 3 meters, find the work required to pump liquid out of this bucket (over the top edge). Use 9.8 m/s2 for gravity. Work = JoulesQuestion 8 0/5 pts ' 65535 99 Details A tank is designed with ends in the shape of an isosceles triangle with height 2 meters and width, at the top, of 16 meters. Find the hydrostatic force on one end of the tank. Newtons0 Question 9 v