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Homework Help: Reletivity time dilation

  1. Sep 18, 2008 #1
    1. The problem statement, all variables and given/known data
    You fly 5000 km across Australia on an airliner at 250 m/s. You return two days later.
    (a) Have you aged more or less than your friends at home?
    (b) By how much?
    Hint: Use binominal approximation.


    2. Relevant equations
    [tex]\Delta[/tex][tex]\tau[/tex]=[tex]\sqrt{}1-\beta^2[/tex]*[tex]\Delta[/tex]t
    t=x/v


    3. The attempt at a solution
    ok a. is aged less.
    b. im a bit stuck on.. im doing it like this..
    t=(x/v)+48hrs=10000/(250/3.6)+48=192hrs.
    then [tex]\Delta[/tex][tex]\tau[/tex][tex]\approx[/tex][tex]\Delta[/tex]t-.5[tex]\beta[/tex]^2*[tex]\Delta[/tex]t=192-.5((250/3x10^8)/3.6)^2*192=192hrs????
    im pretty sure this is wrong, probably doing it all wrong could someone plz help?
     
  2. jcsd
  3. Sep 18, 2008 #2
    ok i know the answer has to be like something 10^-8 s or something... but i just dont see how to it?? im sure its my t value... but dont know why, plz someone help
     
  4. Sep 18, 2008 #3
    anyone at all?
     
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