A particle moves toward x = 0 under the influence of a potential V (x) = A|x|n,

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A particle moves toward x = 0 under the influence of a potential V (x) = −A|x|n, where A > 0 and n > 0. The particle has barely enough energy to reach x = 0. For what values of n will it reach x = 0 in a finite time?

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Introductory Classical Mechanics

ISBN: 978-0521876223

1st edition

Authors: David Morin

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Question Posted: Jul 14, 2011 03:16 PM

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A particle moves toward x = 0 under the influence of a potential V (x) = A|x|n,

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Write F ma as mv dvdx V x Separating variables and integrating gives mv 2 2 C V x where C is a co...View the full answer

Introductory Classical Mechanics

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