Take a ride on the Physics Phantasm, the newest frictionless roller coaster at Six Phlags. The ride starts off from rest with a steep drop from 49.0 m up, followed by a vertical loop on a track with radius 14.0 m. Calculate the ratio of your apparent weight at the top of the loop to your actual weight. In other words, how many times heavier do you feel? What is the maximum safe radius for the loop, such that the car just barely avoids losing contact with the track at the top of the loop?