Special Relativity and Gamma

  • Thread starter scurry18
  • Start date
  • #1
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Homework Statement


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%


Homework Equations


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


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?
 
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Answers and Replies

  • #2
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You seem to have the wrong expression for gamma, unless it's a typo.
 
  • #3
jtbell
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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?
 
  • #4
gabbagabbahey
Homework Helper
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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.
 
  • #5
12
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I got it! Thank you!
 

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