- #1

- 105

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A good example of this is Newton's Second Law:

[tex]{F}\propto{m}[/tex]

[tex]{F}\propto{a}[/tex]

[tex]{F}\propto{ma}[/tex]

What's the reasoning behind multiplying the two? Is it just how a proportional relationship is defined? Is it because of the Multiplicative Property of Zero? Could this be re-written any other way? (And I don't mean using calculus)

I can see how multiplicative properties can be a lot more useful than properties of addition but it just seems kind of crazy to me that multiplication/division are the only ways to quantify some physical quantities :/

Thanks for taking the time to read!