An airplane flies in a loop (a circular path in a vertical plane) of radius 150 m. The pilot's head always points toward the center of the loop. The speed of the airplane is not constant; the airplane goes slowest at the top of the loop and fastest at the bottom. (a) At the top of the loop, the pilot feels weightless. What is the speed of the airplane at this point? (b) At the bottom of the loop, the speed of the airplane is 280,km/h. What is the apparent weight of the pilot at this point? His true weight is 700 N.B A E In another version of the "Giant Swing" (see Figure E5.47 Exercise 5.46), the seat is connected to two cables as shown in Fig. E5.47, one of which is horizontal. The seat swings in a horizontal circle at a rate of 32.0 rpm. If the seat weighs 255 N and an 825-N person is sitting in it, find the tension in each cable. 7.50 mA 1125-kg car and a 2250-kg pickup truck approach a curve on the expressway that has a radius of 225 m. (a) At what angle should the highway engineer bank this curve so that vehicles traveling at 65.0 mi/h can safely round it regardless of the condi- tion of their tires? Should the heavy truck go slower than the lighter car? (b) As the car and truck round the curve, find the normal force on each one due to the highway surface