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W=∫uv(mvdvds)ds=m∫uvv⋅dv=m[v22]uv=12mv2−12mu2=Kf−Kicap W equals integral from u to v of open paren m v d v over d s end-fraction close paren d s equals m integral from u to v of v center dot d v equals m open bracket the fraction with numerator v squared and denominator 2 end-fraction close bracket sub u to the v-th power equals one-half m v squared minus one-half m u squared equals cap K sub f minus cap K sub i 2. Potential Energy of a Spring all important derivations of physics class 11 pdf download