If you divide the mass of a substance by its volume, can you find its density?
Not if its non-uniform.
If the body is not homogeneous, then the density is a function of the position. In that case the density around any given location is determined by calculating the density of a small volume around that location. Else for homogeneous bodies density is mass per unit volume.
of course p=m/V
Density has only one definition:\[\rho = \frac{mass}{volume}\]Homogenous or non-homogenous doesn't factor into the calculation of density. However, in a non-homogenous substance the density of smaller volumes of the substance can vary as compared to the density of the entire volume of the substance.
Maybe an example would help. The density of the Earth is ~5.52 gm/cm^3. However, the density of water (a smaller portion of the Earth) is only 1 gm/cm^3.
Well, but something with non-uniform density cannot have one density as such. Only an average density. So only AVERAGE density can be found by m/v.
Yes, it would definitely be the average density. If you think about it...anything, no matter how small, can be divided (theoretically) into smaller pieces. Therefore, density is always an average :)
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