[2] A rollercoaster of mass m = 950 kg in an amusement park is about to take on a vertical loop of radius R = 15 m. Upon reaching the top of the loop (when everybody is the upside-down), it is found that the normal force exerted on the track on the rollercoaster is downward and half the magnitude as its total weight. Ignore all the frictions. (a) What is the speed v of the roller coaster upon reaching the top of the loop? (b) What is the speed vo of the rollercoaster as it passes the bottom of the loop? (c) Find the normal force n exerted on the rollercoaster by the track as it passes through the midpoint on its way up.

[2] A rollercoaster of mass m = 950 kg in an amusement park is about to take on a vertical loop of radius R = 15 m. Upon reaching the top of the loop (when everybody is the upside-down), it is found that the normal force exerted on the track on the rollercoaster is downward and half the magnitude as its total weight. Ignore all the frictions. (a) What is the speed v of the roller coaster upon reaching the top of the loop? (b) What is the speed vo of the rollercoaster as it passes the bottom of the loop? (c) Find the normal force n exerted on the rollercoaster by the track as it passes through the midpoint on its way up.