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Lorentz transformation help

  1. Oct 2, 2006 #1
    Consider two reference frames, S and S', moving with speed v (<c) with respect to one another along the x direction.

    If a certain object moves with velocity u (u<c) with respect to S, and velocity u' with respect to S', use the velocity addition equations (in three dimensions) to show that u'<c.
     
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  3. Oct 2, 2006 #2

    quasar987

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    What have you tried?
     
  4. Oct 2, 2006 #3

    Meir Achuz

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    Just write down the equations and substitute.
    Then find u"^2.
     
  5. Oct 2, 2006 #4
    Are you saying to take the derivative of u'?
     
  6. Oct 3, 2006 #5

    Meir Achuz

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    Don't you know the vdlocity addition eqs in SR?
    If not you have to find the ratio dx'/dt' and dy'/dt' in terms of the unprimed using the Lorentz transformation eqs. Just take the ratios. Differentiation is not needed. If the know the eqs., just substitute.
     
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