Question 6 Figure 6a shows a carriage in an amusement park "loop-the-loop' in a vertical circle. The radius of the loop is 8.0 m and the total mass of the carriage and passenger is 120 kg. At the highest point, the carriage is travelling at 15 m/s. Assume that friction may be neglected. -15 m/s a. Calculate https://www.researchgate.net/figure/A-cartoon-car-was-animated-going-in-a-loop-The-speed-of-the- -was- lower-at-the-top-and fig2_336052411 Figure 6a i. ii. Carriage entering loop i. ii. Carriage leaving loop the centripetal acceleration. b. The carriage moves round and descend to the bottom of the loop. Calculate (2 marks) the force that the track exerts on the carriage when the carriage is at the highest point. (3 marks) the loss in potential energy when the carriage and passengers move from the top to the bottom. the speed of the carriage when leaving the loop. (2 marks) (3 marks) c. Figure 6b shows a car on a banked track. Copy the figure and label the forces acting on the car. Hence, derive tan = Figure 6b (5 marks) [Total = 15 marks]