variation in your apparent weight is desirable when you ride a roller coaster; it makes the ride fun. however, too much variation over a short period of time can be painful. for this reason, the loops of real roller coasters are not simple circles. a typical loop is shown. the radius of the circle that matches the track at the top of the loop is much smaller than that of a matching circle at other places on the track. explain why this shape gives a more comfortable ride than a circular loop.