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Physics / Classical Mechanics 0 / Chapter 15 / Problem 15.4

Classical Mechanics | 0th Edition | ISBN: 9781891389221 | Authors: John R Taylor

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What is the factor y for a speed of 0.99c As observed from

Chapter 15, Problem 15.4

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QUESTION:

What is the factor \(\gamma\) for a speed of 0.99c? As observed from the ground, by how much would a clock traveling at this speed differ from a ground-based clock after one hour (one hour as measured by the latter, that is)?

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QUESTION:

What is the factor \(\gamma\) for a speed of 0.99c? As observed from the ground, by how much would a clock traveling at this speed differ from a ground-based clock after one hour (one hour as measured by the latter, that is)?

ANSWER:

Step 1 of 3

\(y=\frac{1}{\sqrt{1-\frac{v^{2}}{c^{2}}}}\)

Speed is given, v = 0.99c

So,

\(\begin{array}{l} y=\frac{1}{\sqrt{1-\left(\frac{0.99 c}{c}\right)^{2}}} \\ y=\frac{1}{\sqrt{0.0199}} \\ y=7.087 \end{array}\)

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