Attempt 3
you are designing the section of a roller coaster ride shown in the figure. previous sections of the ride give the train a speed
of 13.7 m/s at the top of the incline, which is h = 35.5 m above the ground. as any good engineer would, you begin your
design with safety in mind. your local government's safety regulations state that the riders' centripetal acceleration should
be no more than n = 1.93 g at the top of the hump and no more than n = 5.37 g at the bottom of the loop. for this initial
phase of your design, you decide to ignore the effects of friction and air resistance.
what is the minimum radius you can use for the semi-
circular hump?