Recall, from this chapter, that the factor gamma (?)
Chapter 17, Problem 38TAS(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.
A starship passes Earth at \(80 \%\) of the speed of light and sends a drone ship forward at half the speed of light relative to itself. Show that the drone travels at \(93 \%\) of the speed of light relative to Earth.
Equation Transcription:
Text Transcription:
(gamma)
gamma = 1 / sqrt 1-(v^2 / c^2)
gamma
gamma
80%
93%
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