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Homework Help: Time Difference between two inertial frames of reference

  1. Jan 11, 2015 #1
    1. The problem statement, all variables and given/known data
    Let S and S' be two inertial frames of reference where S' is moving at a velocity of 0.6c relative to S.

    When x = x' = 0, t = t' = 0, where t and t' are time of the clocks on S and S' respectively and x and x' are the x-coordinates of the S and S' frames respectively.

    An event occurs at S when t = 2 × 10-7s and x = 50m. What is t' when the event occurs at S'?
    2. Relevant equations
    t = ϒ t'

    3. The attempt at a solution
    Let t' be the proper time.
    t = ϒ t' where t = 2 × 10-7s and v = 0.6c.
    Solving, I got t' = 1.6 × 10-7s but the answer is 1.25 × 10-7s.
    What am I doing wrong?
  2. jcsd
  3. Jan 11, 2015 #2


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    Science Advisor
    Homework Helper
    Gold Member

    You've taken the wrong approach. The time an event takes place in S' depends on both the time and position it takes place in S.

    Have you heard of the Lorentz Transformation?
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