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Because at recoil is force (not energy) which you should consider.
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Then why does just about everything written about recoil refer to Free Recoil Energy?
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Free recoil is a vernacular term or jargon for recoil energy of a firearm not supported from behind. Free recoil denotes the translational kinetic energy (Et) imparted to the shooter of a small arm when discharged and is expressed in joules (J), or foot-pound force (ft·lbf) for non-SI units of measure.
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This includes the SAAMI papers on the subject and also goes along with Hatcher's Notebook on the subject.
Ron