Derivation of formula using dimensions

johncena · 2009-10-07T14:46:31+00:00

Can we derive the equation , F = (Gm1m2) / r2 using dimensional analysis?

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johncena

Can we derive the equation ,

F = (Gm₁m₂) / r²

using dimensional analysis?

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Hi johncena!

Assume that force does not get "lost" …

ie, the force flowing through a sphere of radius r is the same for all values of r.