Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337671729
Author: SERWAY
Publisher: Cengage
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Chapter 38, Problem 45AP

(a)

To determine

The value of relativistic factor for the speed found in part (a) of problem 43 in the textbook upto three significant figures.

(b)

To determine

The amount of time later the astronaut arrive at Andromeda after the arrival of light beam.

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The factor y (gamma) appears throughout the expressions of special relativity. It depends only on the (constant) relative velocity between two inertial frames of reference. Calculate y for the case when rel=0.93 c (where c is the speed of light in vacuum = 3.0 x 108 m/s). Y = What is the difference between the velocity vrel and the speed of light c if y = 4.8? In other words, what is c-Vrel? C-Vrel= What is this velocity Urel expressed as a fraction of the speed of light (as the case of the first question above)? Vrel= m/s C
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In special relativity, we introduced the momentum of a particle in a given Lorentz frame as pu = (E, pi ), where E is the energy of the particle and pi is the relativistic 3-momentum. Explain why, in general relativity, the energy of a particle measured by an observer is given, irrespective of the coordinate system used, by −p · uobs, where pu is the momentum of the particle and uuobs is the velocity of the observer in those coordinates.

Chapter 38 Solutions

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Length contraction: the real explanation; Author: Fermilab;https://www.youtube.com/watch?v=-Poz_95_0RA;License: Standard YouTube License, CC-BY