Will we ever plot force-against-surface area graphs?
You might, but I don't. We do plot force vs. distance graphs, because of the formula
Work = Force x distance
so we can use them to determine the work (which is important because work is energy, and we know a lot about energy; for example that it is conserved and what energies correspond to certain states of objects). Force x surface area, on the other hand, isn't really anything, as far as I know. Force per surface area is, and it is called pressure
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