NZM.11 An unpowered roller-coaster car starts at rest atthe top of a hill of height H, rolls down the hill, and thengoes around a vertical loop of radius R. Determine theminimum value for H required if the car is to stay on thetrack at the top of the loop. (Hints: At the top of the loop,the car is upside down. If it is in contact with the track,though, the contact interaction will exert a normal forceon the car perpendicular to the track and away from thetrack, since the normal force is a compression force. Youmay find it helpful to use conservation of energy here.)

Consider the bottom of the loop as datum. Therefore, the potential energy of the car at the bottom…

Answered: NZM.11 An unpowered roller-coaster car…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 11PQ

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