Was it decided empirically (in order to respect the already found Conservation of Energy's law) that force x displacement is the quantity that corresponds to the energy ?
It's a deeper question than it looks, at least for me :)
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Perhaps you would get a better answer on History of Science.SE? – knzhou Apr 05 '18 at 13:22
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Related question: https://physics.stackexchange.com/questions/128598/how-was-the-definition-and-the-formula-of-work-derived-is-it-the-best-possible Maybe some answers herein can help – Steeven Apr 05 '18 at 13:36