Question a roller coaster car starts from rest at the top, Ask an Expert

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Question: A roller coaster car starts from rest at the top of a hill of height h. The car rolls without friction down the hill under the influence of gravity, and then performs a loop-the-loop on a circular loop of track of radius R.

Part A: What is the minimum height h that the roller coaster has to start at in order to stay on the track?

I need help to find the minimum height h that the roller coaster has to start at in order to stay on the track.

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