7) A roller coaster moves in different curves as it goes through the bumps in its track. We can easily analyze the forces at any point in the ride, by drawing a circle that matches up with the track at that point
and using our knowledge of centripetal acceleration and centripetal forces. The 550 kg car (with riders)
comes up over the hill at point A and then goes down the hill toward point B, which is 25 m below point A.
10 m
a) What is the fastest that the car can go
over the hill at point A without coming off
the tracks (where the normal force equals 0)?
15 m
B
b) If the car is going 19 m/s (which should be faster than at point a) when it gets to point B, how big is the
normal force provided by the track as the car goes over it at point B?