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Special Relativity - 2 observers - 2 frames of reference

  • Thread starter kachilous
  • Start date
  • #1
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Homework Statement


An observer in frame S standing at the origin observes two flashes of colored light separated spatially by Δx = 2300 m. A blue flash occurs first, followed by a red flash 5 µs later. An observer in S ' moving along the x axis at speed v relative to S also observes the flashes 5 µs apart and with a separation of 2300 m, but the red flash is observed first. Find the magnitude and direction of v.

Homework Equations


I believe the necessary equation is v = Δx/Δt

The Attempt at a Solution


So I initially thought I would simply have to plug in to the above equation Δx = 2300 m and Δt = 5 μs. But now I am realizing that would not give me the velocity of the observer.
To find the velocity of the observer would I have to know the distance he traveled?
And then use Δt = 5x10^-6?
 

Answers and Replies

  • #2
HallsofIvy
Science Advisor
Homework Helper
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You titled this "special relativity" but you haven't used any formulas from relativity.
 
  • #3
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I figured I could use x = γ(x' + vt') {The lorentz equation for distance}
And then since I am given the spatial separation Δx,
Δx = γ(xo' + vt2' - γ(xo' + vt1'
Then I could solve for v, but that still did not work
 

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