As an object speeds up, does it's density dilate at the same rate as it's mass?

Question

If you could use formulas to explain that would be awesome =).

(Relativistically)

Answer 1

Speeds up how? You mean relativistically?

Density (ρ) = m/v

ρ is proportional to mass, so if mass increases, then density may, but then if you are talking about relativistic speeds then the shape changes in the direction of travel, therefore the volume may not necessarily remain constant and the density may not remain constant either. Perhaps if you clarify your question a bit that woudl help.

Answer 2

OK - here comes awesome:

The formula for density is:
Density=Mass / Volume D=M/v
The formula for kinetic energy is:
E=MC^2 / sqrt[1-(V^2/C^2)
Mass increases as speed increases and distances shorten in the direction of travel [L1=L(1-V^2/C^2)^1/2] as time slows down [T1=T / sqrt(1-V^2/C^2)].
From a reference at "rest", it would appear that the Mass increases and the Volume decreases. Watching this phenomenon from a reference, again, at "rest", it would appear that the Density would necessarily have to increase also (D=M+/v-)