potential energy due to height is: P E h   =   m * g * h and kinetic energy is: K E   =   1 2 m v 2

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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Given that centripetal acceleration is:

a c   =   v 2 r

potential energy due to height is:

P E h   =   m * g * h

and kinetic energy is:

K E   =   1 2 m v 2

what is the correct equation for the maximum safe height of a loop (hloop) relative to the height of the hill (hhill) that came before it? Naturally, this is in the context of a roller coaster. 

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