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Relativistic Density Proof

  1. Jun 10, 2008 #1
    1. The problem statement, all variables and given/known data

    Prove that, in general, Dm = Ds / (1 - (v^2/c^2), where Dm is the relativistic density and Ds is the proper density

    2. Relevant equations

    Dm = Ds / (1 - (v^2/c^2)

    3. The attempt at a solution

    I really have no idea...
  2. jcsd
  3. Jun 10, 2008 #2


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    Homework Helper

    Well, I would probably start with the definition of density: [itex]\rho = m/V[/itex], where rho is the density, m is the mass, and V is the volume.

    So, to solve the problem, use the rules for how the mass and volume change when going to a relativistic frame.

    That should get you started.
  4. Jun 10, 2008 #3
    We know that [tex]density = \frac{mass}{volume}[/tex] *Edit sorry: I meant volume not velocity
    Use the relativistic mass formula i.e. [tex]mass*\frac{1}{\sqrt{(1-(v/c)^2)}}[/tex] and likewise relativistic volume.
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