Recall, from this chapter, that the factor gamma (?)
Chapter 17, Problem 37TAS(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.
Consider a high-speed rocket ship equipped with a flashing light source. If the frequency of flashes seen on an approaching ship is twice what it was when the ship was a fixed distance away, by how much is the period (time interval between flashes) changed? Is this period constant for a constant relative speed? For accelerated motion? Defend your answer.
Equation Transcription:
Text Transcription:
(gamma)
gamma = 1 / sqrt 1-(v^2 / c^2)
gamma
gamma
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