According to the special theory of relativity, the factor
Chapter 26, Problem 56(choose chapter or problem)
According to the special theory of relativity, the factor \(\gamma\) that determines the length contraction and the time dilation is given by \(\gamma=1 / \sqrt{1-v^{2} / c^{2}}\). Determine the numerical values of \(\gamma\) for an object moving at speed \(v=0.01 c, 0.05 c, 0.10 c, 0.20 c, 0.30 c, 0.40 c, 0.50 c, 0.60 c, 0.70 c, 0.80 c, 0.90 c, 0.95 c\), and \(0.99 c\). Make a graph of \(\gamma\) versus \(v\).
Equation Transcription:
Text Transcription:
gamma
gamma=1 / sqrt{1-v^{2} / c^{2}
gamma
v = 0.01 c, 0.05 c, 0.10 c, 0.20 c, 0.30 c, 0.40 c, 0.50 c, 0.60 c, 0.70 c, 0.80 c, 0.90 c, 0.95 c
0.99 c
gamma
v
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