simple derivation of
work energy theorem
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The work ‘W’ done by the net force on a particle is equal the change in the particle’s kinetic energy (KE).
Let us consider a case where the resultant force ‘F’ is constant in both direction and magnitude and is parallel to the velocity of the particle. The particle is moving with constant acceleration along a straight line. The relationship between the acceleration and the net force is given by the equation “F = ma” (Newton’s second law of motion), and the particle’s displacement ‘d’, can be determined from the equation:
kinetic energy KE: W=ΔKE=12mv2f−12mv2i W = Δ KE = 1 2 mv f 2 − 1 2 mv i 2 .
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