Understanding Dimensional Analysis and Deriving M = L^3 T^-2 for Mass

[HotMintea]

Homework Statement

"Maxwell showed that we can easily do a dimensional analysis on mass, using only Newton’s equations. Mass is [length]^3 [time]^-2 ." (http://milesmathis.com/coul.html)

I would like to know how to do the dimensional analysis and derive M = L^3 T^-2.

2. The attempt at a solution

Since the right side of $F\ = \frac{dp}{dt}$ has M^1, I think I need another equation for force that has M^n on the right side, where n ≠ 1.

 

[ideasrule]

Mass is definitely not [length]^3 [time]^-2. That link is a crackpot website.

 

[HotMintea]

Mass is definitely not [length]^3 [time]^-2. That link is a crackpot website.

That may be why the author did not cite the source!