1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Reference frames

  1. Sep 6, 2007 #1
    1. The problem statement, all variables and given/known data

    Two events happen at the same point x'(0) in frame S' at t(1)' and t(2)'

    a) Use equations x=gamma*(x'+vt') and t=gamma*(t'+vx'/c^2) to show in frame S the time interval between the events is greater than t(2)'-t(1)' by a factor of gamma

    2. Relevant equations



    3. The attempt at a solution

    x=gamma*(x'+vt')
    t=gamma*(t'+vx'/c^2)

    t(2)=gamma*(t(2)'-vx'(2)/c^2) and t(1)=gamma*(t(1)'-vx'(1)/c^2)
    x'(2)=x'(1)=x'(0)
    t(2)-t(1)= gamma*(t'(2)-t'(1))-gamma*v/c^2(-v*x'(0)+v*x'(0))
    t(2)-t(1)=gamma*(t(2)'-t'(1))

    from the reference frame of S' the two events that were at the same reference point in the S prame with not be at the same reference point in the S' frame. hence, x'(1) will not equal x'(2)

    t'(2)= gamma*(t(2)-v*x(2)/c^2)
    t'(1)=gamma*(t(1)-v*x(2)/c^2)
    t'(2)-t'(1)=gamma*(t(2)-t(1))-gamma*v/(c^2)*(x(2)-x(1))

    hence , t(2)-t(1) is large than t'(2)-t'(1)
     
  2. jcsd
  3. Sep 6, 2007 #2

    learningphysics

    User Avatar
    Homework Helper

    Shouldn't you be using +vx'(2)/c^2 etc...

    You've proven your result above. I don't understand the purpose of the part below.

     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Reference frames
  1. Reference frames (Replies: 9)

  2. Reference frame (Replies: 9)

  3. Frames of Reference (Replies: 3)

  4. Frames of reference (Replies: 3)

  5. Reference frames (Replies: 3)

Loading...