a 150 g marble rolling down a marble track is going through a 10cm tall loop.Assuming the track is perfectly efficient and the marble experiences circular motion in the loop:  What is the minimum magnitude of the normal force provided by the loop to mantain circular motion at the top of the loop? How high should the hill before the loop be to ensure the marble can travel through the whole loop?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter8: Conservation Of Energy
Section: Chapter Questions
Problem 65PQ: A 50.0-g toy car is released from rest on a frictionless track with a vertical loop of radius R. The...
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a 150 g marble rolling down a marble track is going through a 10cm tall loop.Assuming the track is perfectly efficient and the marble experiences circular motion in the loop: 

What is the minimum magnitude of the normal force provided by the loop to mantain circular motion at the top of the loop?

How high should the hill before the loop be to ensure the marble can travel through the whole loop?

 

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