Show that on a roller coaster with a circular vertical loop (Fig. 6-44 ) , the difference in your apparent weight at the top of the circular loop and the bottom of the circular loop is 6 g^' s- that is, six times your weight. Ignore friction. Show also that as long as your speed is above the minimum needed, this answer doesn't depend on the size of the loop or how fast you go through it. figure can't copy | Numerade

As shown in the figure, a roller-coaster track includes a circular loop of radius R in a vertical plane. A car of mass m is released from rest at a height h above the bottom of the circular section and then moves freely along the track with negligible energy loss due to friction.(a) First, suppose the car barely makes it around the loop. At the top of the loop, the riders are upside down and feel weightless. Find the required height h of the release point above the bottom of the loop. (Use any v