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Relativity and K_0 Meson decay

  1. May 21, 2008 #1

    TFM

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    1. The problem statement, all variables and given/known data

    A [tex] k^0 [/tex] meson at rest decays into a [tex] \pi^+ [/tex] meson and a [tex] \pi^- [/tex] meson, each having a speed 0f 0.85c. If the [tex] k^0 [/tex] Meson is travelling at 0.9c decays, what is the :

    (i) The greatest speed that one of the [tex] \pi [/tex] mesons can have

    (i) What is the least speed?

    2. Relevant equations

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

    [tex] v= v_0 \gamma [/tex]

    3. The attempt at a solution

    I am not quite sure what to do. If it was just find a speed, I would use the Lorentz Equation for speed diffference given above (I think this is the relevant equation). but since they want a max. and a min. speed, I am not quite sure.

    Any ideas would be most appreciated,

    TFM
     
  2. jcsd
  3. May 21, 2008 #2
    Hey TFM,

    Take a look at my post, 'Special relativity velocity tansforms', I misspelt transforms in the post name. Ooops, :redface:.

    Vuldoraq
     
  4. May 21, 2008 #3

    TFM

    User Avatar

    Yeah, I did see that, but thanks anyway,

    TFM
     
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