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Homework Help: Special Relativity and Gamma

  1. Oct 26, 2008 #1
    1. The problem statement, all variables and given/known data
    For what value of v does Gamma (G) =1.0100? Observe that for speeds lower than this value, time dilationand length contraction are effects amounting to less that 1%


    2. Relevant equations
    L=Lp/G=Lp(1-(v^2/c^2))^2


    3. The attempt at a solution
    I do not know where to start. Is this the correct formula, and then if it is, how would I go about solving for the Velocity?
     
  2. jcsd
  3. Oct 26, 2008 #2
    You seem to have the wrong expression for gamma, unless it's a typo.
     
  4. Oct 26, 2008 #3

    jtbell

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    Staff: Mentor

    The exponent on the right should be 1/2 (square root), not 2. Start with

    [tex]\frac{L_p}{\gamma} = L_p \sqrt{1 - v^2 / c^2}[/tex]

    What can you do to simplify this equation a bit, first?
     
  5. Oct 26, 2008 #4

    gabbagabbahey

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    Homework Helper
    Gold Member

    Why involve any lengths here? You have an equation (rather a definition) for Gamma do you not? Isn't it just

    [itex]\gamma=\left( \frac{1}{1-\frac{v^2}{c^2}} \right)^{\frac{1}{2}}[/itex]

    If so, try squaring both sides of the equation.
     
  6. Oct 26, 2008 #5
    I got it! Thank you!
     
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