Prove work energy theorem?
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As per the defination of work:-dW =\xa0Fdx{tex}\\int{/tex}dW ={tex}\\int{/tex}FdxW=m{tex}\\int{/tex}{tex}\\frac{dv}{dt}{/tex}\xa0*dx (as F=ma and a=dv/dt)W=m{tex}\\int{/tex}v dv (as dx/dt=v)W=m({tex}\\left.\\frac{v^2}{2}\\right|_u^v{/tex})W=\xa0{tex}\\frac{mv^2}{2} – \\frac{mu^2}{2}{/tex}W=KE{tex}f{/tex}\xa0- KE{tex}i{/tex}W={tex}\\Delta{/tex}KE