Recall, from this chapter, that the factor
Chapter 17, Problem 42TAS(choose chapter or problem)
Recall from this chapter that the factor gamma \((\gamma)\) governs both time dilation and length contraction, where
\(\gamma=\frac{1}{\sqrt{1-\left(\frac{v^{2}}{c^{2}}\right)}}\)
When you multiply the time in a moving frame by \(\gamma\), you get the longer (dilated) time in your fixed frame. When you divide the length in a moving frame by \(\gamma\), you get the shorter (contracted) length in your fixed frame.
The bus in the preceding problems is \(70\) feet long, according to its passengers and driver. Show that its length is seen as slightly less than \(10\) feet from a vantage point on a fixed planet.
Equation Transcription:
Text Transcription:
(gamma)
gamma = 1 / sqrt 1-(v^2 / c^2)
gamma
gamma
70
10
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