An unpowered roller-coaster car starts at rest at the top of a hill of height H, rolls down the hill, then then goes around a vertical loop of radius R. Determine the minimum value for H required if the car is to stay on the track 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 force on the car perpendicular to the track and away from the track since the normal force is a compression force. You may find it useful to use conservation of energy here!)

An unpowered roller-coaster car starts at rest at the top of a hill of height H, rolls down the hill, then then goes around a vertical loop of radius R. Determine the minimum value for H required if the car is to stay on the track 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 force on the car perpendicular to the track and away from the track since the normal force is a compression force. You may find it useful to use conservation of energy here!)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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