A roller coaster car may be approximated by a block of mass m. The car, which starts from rest, is released at a height h above the ground and slides along a frictionless track. The car encounters a loop of radius R, as shown. Assume that the initial height h is great enough so that the car never loses contact with the track. What is the equation for the minimum initial height h at which the car can be released that still allows the car to stay in contact with the track at the top of the loop? h

A roller coaster car may be approximated by a block of mass m. The car, which starts from rest, is released at a height h above the ground and slides along a frictionless track. The car encounters a loop of radius R, as shown. Assume that the initial height h is great enough so that the car never loses contact with the track. What is the equation for the minimum initial height h at which the car can be released that still allows the car to stay in contact with the track at the top of the loop? h

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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Question

A roller coaster car may be approximated by a block of mass m. The car, which starts from rest, is
released at a height h above the ground and slides along a frictionless track. The car encounters a
loop of radius R, as shown. Assume that the initial height h is great enough so that the car never
loses contact with the track. What is the equation for the minimum initial height h at which the car
can be released that still allows the car to stay in contact with the track at the top of the loop?
h
R

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