A car in an amusement park ride rolls without friction around a track

What is the minimum value of h (in terms of R) such that the car moves around the loop without falling off at the top (point B)?

If the car starts at height

Compute the radial acceleration of the passengers when the car is at point C, which is at the end of a horizontal diameter.

Compute the tangential acceleration of the passengers when the car is at point C, which is at the end of a horizontal diameter.

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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 Motion Along Curved Paths concept. You can view video lessons to learn Motion Along Curved Paths. Or if you need more Motion Along Curved Paths practice, you can also practice Motion Along Curved Paths practice problems.