Problem: A roller coaster car crosses the top of a circular loop-the-loop at twice the critical speed.What is the ratio of the normal force to the gravitational force?

FREE Expert Solution

Centripetal force, FC:

FC=mv2r

At critical speed, gravitational force and centripetal forces are equal:

FG=FCmg=mv2rv=rg

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Problem Details

A roller coaster car crosses the top of a circular loop-the-loop at twice the critical speed.

What is the ratio of the normal force to the gravitational force?