A roller coaster of mass M starts at height h, slides down, and goes around the loop-the-loop with radius R. You are asked to find the minimum height h from which the roller coaster should be released so it just makes it around the top of the loop-the-loop without falling off.
Start by giving a strategy on how you will solve the problem: You should include the physics principles you will be using.
Solve for h. Your answer should be in terms of any combination of R, M, and any constants.