Special Relativity Andromeda galaxy Question

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SUMMARY

The discussion focuses on calculating the time it takes for a radio message sent from the Andromeda galaxy to reach Earth after a spaceship travels there in 50 years according to the ship's clock. The spaceship's speed was incorrectly calculated as 40000c, which violates the principles of Special Relativity. Participants emphasized the need to use Lorentz transformations and the Lorentz factor (gamma) to accurately determine time dilation and the relationship between the spaceship's speed and the time experienced on Earth. The correct approach involves using the equations for time and distance transformations in Special Relativity to solve the problem.

PREREQUISITES
  • Understanding of Special Relativity principles
  • Familiarity with Lorentz transformations
  • Knowledge of the Lorentz factor (gamma)
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the Lorentz transformation equations in detail
  • Learn how to calculate the Lorentz factor (gamma) for different velocities
  • Explore spacetime diagrams to visualize events in different reference frames
  • Practice problems involving time dilation and length contraction in Special Relativity
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Students and enthusiasts of physics, particularly those studying Special Relativity, as well as educators looking for practical examples of time dilation and Lorentz transformations.

  • #31
robphy said:
Think "triangles"... legs as spatial and temporal components, hypotenuses as the invariant spacetime-intervals. You can write down an explicit algebraic answer in terms of your given quantities... without first explicitly calculating the outgoing velocity of the traveller.

Oh, of course, I see it now. I could've used that trick on the GRE ;)
 

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