Density Formula for Moving Particles

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Hello;

I know that the formula for density is mass/volume. However, this is only true for rest mass. What about when the particle is moving?

Thanks.
 
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Mass increases with velocity, right?

Do I have to use Einstein's General Theory of Relativity and somehow use that with my original density formula? I'm confused
 
Note that the particle itself would not know if it is moving or not, unless it was being accelerated. So according to the particle, it's density would not increase.
However, from the viewpoint of an external observer, it could be said that the density of the object had, in a way, increased.

In the end, whether this density is what would fit in with your usual concept of density or not, depends on what you want to use it for, as jtbell said.
 
However, from the viewpoint of an external observer, it could be said that the density of the object had, in a way, increased.

I don't get it... what do you mean by this?