Special relativity noob problem 2, Dopler shift.

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SUMMARY

The discussion centers on a physics problem involving the Doppler shift as it applies to a hypothetical spaceship shuttle service between Earth and Mars in 2025. The headlight of a homeward-bound spaceship appears green (500 nm), while the tail-light of a departing spaceship appears red (600 nm). The key equations for solving the problem are derived from the principles of special relativity and the Doppler effect. Participants emphasize the importance of applying the correct formulas to determine the velocity ratio (v/c) and the observed wavelength from different reference frames.

PREREQUISITES
  • Understanding of special relativity principles
  • Familiarity with the Doppler effect in light
  • Knowledge of wavelength and frequency relationships
  • Basic algebra for solving equations
NEXT STEPS
  • Study the equations for relativistic Doppler shift
  • Learn how to calculate v/c using wavelength changes
  • Explore examples of Doppler effect in astrophysics
  • Investigate applications of special relativity in modern physics
USEFUL FOR

Students of physics, educators teaching special relativity, and anyone interested in the applications of the Doppler effect in modern astrophysics.

-Vitaly-
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Homework Statement



By 2025 a spaceship shuttle service operates between the Earth and Mars. Each
spaceship is equipped with identical mono chromatic head and tail lights, and their cruising speed v relative to earth, is such that the headlight of a homeward-bound spaceship appears green ( lambda = 500 nm) and the tail-light of a departing spaceship appears red(lambda = 600 nm).(i) What is v/c ?(ii) What is the wavelength of the headlight of an earth-b ound spaceship is observed froman outward b ound one?

Homework Equations



http://hyperphysics.phy-astr.gsu.edu/hbase/relativ/reldop2.html"

The Attempt at a Solution


I have no idea where to start.
 
Last edited by a moderator:
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-Vitaly- said:
Each
spaceship is equipped with identical mono chromatic head and tail lights …

Hi -Vitaly-! :smile:

The two lights are the same colour, but they look different because of the Doppler shift.

Just plug in the equations, and see what happens! :smile:
 

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