Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter7: Gravitation
Section: Chapter Questions
Problem 64A
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Question
A roller coaster consists of a car attached underneath a thin rail in the shape shown in the figure. The rail loops are circular and there is no friction between the carriage and the rail. The car is represented by the red block and the gray dotted line is a visualization of a part of the path that the car follows.
(a) What is the minimum speed v_0 that the car must have at the bottom of the loop system for its centripetal acceleration to satisfy a_c = g at the top of the large loop? Write your answer in terms of R, g
(b) Will that speed be the same for the condition a_c = g to hold at the top of the small loop? Show why?
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