NSCI 1501 Lecture Notes - Lecture 6: Net Force

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The fundamental law of mechanics is the force equation f = ma that yields at each moment the acceleration of a body. The e(cid:374)e(cid:396)g(cid:455) e(cid:395)uatio(cid:374) also (cid:272)alled wo(cid:396)k-energy or energy conservation e(cid:395)uatio(cid:374) relates the initial (v0) and final (v) speeds of a body to the work (w) produced by the acting forces. The e(cid:374)e(cid:396)g(cid:455) e(cid:395)uatio(cid:374) is less detailed tha(cid:374) f = (cid:373)a it does (cid:374)ot (cid:272)o(cid:374)tai(cid:374) ti(cid:373)e (cid:894)t(cid:895), a(cid:272)(cid:272)ele(cid:396)atio(cid:374) (cid:894)a(cid:895), a(cid:374)d di(cid:396)e(cid:272)tio(cid:374) of (cid:373)otio(cid:374) (cid:271)ut it is si(cid:373)ple(cid:396) and in many important cases much more convenient. The physical quantities of work, kinetic energy, and potential energy are of fundamental importance and usefulness in describing physical, chemical and biological phenomena such as heat, electricity, atoms, chemical bonds, metabolism, etc. The work-energy or energy conservation or just energy equation is obtained by (cid:862)s(cid:272)ala(cid:396)(cid:863) (cid:373)ultipl(cid:455)i(cid:374)g the fo(cid:396)(cid:272)e-acceleration equation by the displacement (x). The energy equation relates the final speed (v) to the initial speed (v0) and the work (w) done on the body.

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