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Homework Help: Relatavistic velocitys

  1. Mar 12, 2010 #1

    *64

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    i am working though some practice Q's in my course book and i am stuck on this question, the book doesnt give fully worked answers so im not sure if this is correct or not

    a spacecraft moving at 0.75c fires a missle travlling at 0.30c with respect to itself at a stationary planet, what is the missles speed with respect to the planet

    i think i need to use

    u = v1+v2 / 1 + v1xv2 / c^2

    but i am not sure if this is going to give me the speed with respect to the planet, i think i need a bit more help with how to set up the inertial frames

    the frame of the spaceship is S then the missle is S' and the planet S'' ?

    thanks
     
  2. jcsd
  3. Mar 12, 2010 #2

    Doc Al

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    Staff: Mentor

    I find it useful to write the Relativistic addition of velocities like this:

    [tex]V_{a/c} = \frac{V_{a/b} + V_{b/c}}{1 + (V_{a/b} V_{b/c})/c^2}[/tex]

    Where Va/c means the velocity of a with respect to c. In your problem, let a stand for the missle, b for the rocket, and c for the earth.
     
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