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State and prove work energy thorm

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State and prove work energy thorm
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Ankit Singh 7 years, 2 months ago

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=Fdx Now let the total work done is W, and the displacement is fromx0tox Integrating the both sides we get, ∫0WdW=∫x0xFdx W=∫x0xFdx W=m∫x0xdvdtdx W=m∫v0vvdv W=12mv2−12mv20 W=ΔEk (Proved) Hence this will help u
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