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Relativistic Density Proof

  • Thread starter t.mil
  • Start date
  • #1
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0

Homework Statement



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

Homework Equations



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

The Attempt at a Solution



I really have no idea...
 

Answers and Replies

  • #2
Mute
Homework Helper
1,388
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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.
 
  • #3
238
0
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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