In Einsteins theory of special relativity the mass of an

Chapter 11, Problem 11.559

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In Einsteins theory of special relativity the mass of an object moving with velocity is where is the mass of the object when at rest and is the speed of light. The kinetic energy of the object is the difference between its total energy and its energy at rest: (a) Show that when is very small compared with , this expression for agrees with classical Newtonian physics: . (b) Use Taylors Inequality to estimate the difference in these expressions for when m s.

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