Consider a roller-coaster car on a track that has a loop of known radius R. If there is no friction between the rollercoaster car and the track, then determine (a) the minimum speed at the top of the loop for the rollercoaster car to still be in contact with the track and (b) the minimum height h the rollercoaster car must start from in order to go all the way around the loop without losing contact with the track (assuming the rollercoaster starts from rest). The only knowns here are R and g, so your symbolic answers need to be in terms of these.

Consider a roller-coaster car on a track that has a loop of known radius R. If there is no friction between the rollercoaster car and the track, then determine (a) the minimum speed at the top of the loop for the rollercoaster car to still be in contact with the track and (b) the minimum height h the rollercoaster car must start from in order to go all the way around the loop without losing contact with the track (assuming the rollercoaster starts from rest). The only knowns here are R and g, so your symbolic answers need to be in terms of these.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter5: Displacement And Force In Two Dimensions

Section: Chapter Questions

Problem 52A

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