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?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Centripetal Forces & Curves concept. If you need more Centripetal Forces & Curves practice, you can also practice Centripetal Forces & Curves practice problems.

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Based on our data, we think this problem is relevant for Professor Stevens' class at UMASS.