Show that for any object moving at less than one-tenth the speed of light, the relativistic kinetic energy agrees with the result of the classical equation K = 1/2 mu2 to within less than 1%. Therefore, for most purposes, the classicalequation is sufficient to describe these objects.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter9: Relativity
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Show that for any object moving at less than one-tenth the speed of light, the relativistic kinetic energy agrees with the result of the classical equation K = 1/2 mu2 to within less than 1%. Therefore, for most purposes, the classical
equation is sufficient to describe these objects.

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