roller coaster has a part with a vertical circular loop (of radius R) where, at its top, the car travels upside down. What must be true about the speed so that the car and passenger do not fall out? (Give the minimum speed necessary to complete the loop. Do not substitute numerical values; use variables only. Use the following as necessary: g, R, m, μ.)

Question

anonymous · Answer

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at the point where the car is upside down and at its peak, there are 2 forces acting on the passengers in the y-direction (up & down), there is gravity pulling them down, and centripetal acceleration pushing them up
Drawing a free body diagram of the car, it would look like this:
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