Evaluate the minimum value of h in terms of r, Physics

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A sled slides down a frictionless track and loops the loop without falling off. What is the minimum value of h in terms of r?

The only other information given is that the answer is NOT1.7r....

This question was written by my professor, it is not a problem from a text book and it cannot be found online. There are no values for anything given. The only information given is the question itself and the professor told us that the answer is NOT 1.7r. The question is highlighted in red and I have been given no other information.

I am thinking this must be a trick question - any help would-be appreciated!


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