A Roller Coaster Starts from Rest at a Height H

A roller coaster starts from rest at a height h at the left side of a loop-the-loop, as shown in the figure. It is not attached to the track in anyway, and there is no friction from the track or from air resistance. If the radius of the loop is R = 6.0 m, what is the minimum height h for which the roller coaster will not fall off the track at the top of the loop?

A) 21 m
B) 18 m
C) 15 m
D) 12 m
E) 8.5 m

Correct Answer:

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