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But there is no "k" needed. In what my 1940 text calls the static systim,
1 pound of force measure the deflection of a standard spring. 1 lb
accelerates a certain mass with an acceleration of 1 ft/s^2; we call that
amount of mass 1 slug. 1 slug has a weight of ~32 ft/s^2. G has a value
of about3.5x10^{-8}#(ft/slug)^2. F=ma in ordinary English units, no "k"
needed.