1. The problem statement, all variables and given/known data A car in an amusement park ride rolls without friction around the track it starts from rest at a point A from height H above the bottom of the loop. treat the car as a particle. what is the minimum value of height (in terms of R radius)such that the car doesn't fall off the very top of the ramp. 2. Relevant equations E=mgh gravity constant Fc=.5mv^2 K=.5mv^2 3. The attempt at a solution i dont really know where to start but ill give it a shot. 2R is the height of the so mgh-mg2R= 1/2mv^2 i dont really know what else to do -_- since mgh-mg2R=1/2mv^2 could you assume that v approaches 0 then mgh=mg2R which makes sense to me because if the surface is frictionless then energy is being conserved so does this mean if the height from which it came = the height of what it needed to go to?