. A roller coaster is going through a loop that has a radius of 6.8m. The roller coaster cars are equipped with engines and brakes that ensure a uniform speed of 145.40 mph (there are numerous safety concerns with this coaster). To further these safety concerns, the loop is pitched at an angle of 10 degrees from the vertical. During the designing and testing of this coaster, it was determined that the average weight of the coaster and riders was 7200 kg. a) Determine the amount of force the track must be designed to withstand at the top of the loop. b) The daredevil designers originally wanted it to make a double loop, both having the same properties. Determine the amount of force the track must withstand at the bottom between the two loops. (Why should this be different compared to when the coaster enters and exits the double loop?)