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Exercise:
A spaceship flies towards a red light larO in its rest frame on the ergalactic highway. The speed is such that the crew sees a green light lagO. Calculate the speed of the spaceship.

Solution:
The ratio of the wavelengths is fraclambda_rlambda_s sqrtfrac+beta-beta Solving for beta yields beta beF fraclag^-lar^lag^+lar^ resultbeP The result is negative meaning that the spaceship flies towards the red light as expected.
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Exercise:
A spaceship flies towards a red light larO in its rest frame on the ergalactic highway. The speed is such that the crew sees a green light lagO. Calculate the speed of the spaceship.

Solution:
The ratio of the wavelengths is fraclambda_rlambda_s sqrtfrac+beta-beta Solving for beta yields beta beF fraclag^-lar^lag^+lar^ resultbeP The result is negative meaning that the spaceship flies towards the red light as expected.
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Attributes & Decorations
Branches
special relativity
Tags
doppler, wavelength
Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Decoration
Content image