Question

state and prove work energy theourm

Answer 1

Heyy mate your answer is

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

Hence proved