Why the roller coaster loops are tightly curved at the top. Explain with proper reasoning.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.8P
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Why the roller coaster loops are tightly curved at the top. Explain with proper reasoning.

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