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State and prove work energy thorm

Answer» The work-energy theorem states that the work done by all forces acting on a particle equals the change in the particle\'s kinetic energy.Now for infinitesimal displacement calculations and forces whether variable or constant, we can write from the definition of work,dW=FdxNow let the total work done is W, and the displacement is fromx0toxIntegrating the both sides we get,∫0WdW=∫x0xFdxW=∫x0xFdxW=m∫x0xdvdtdxW=m∫v0vvdvW=12mv2−12mv20W=ΔEk(Proved)Hence this will help u


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