Notions of Work and Kinetic Energy o
o
The work-energy theorem states that the change in kinetic energy of a particle is equal to the work done on it by the net force.
Kf- Ki = W
o We know the equation in 3D: v 2 – u 2 = 2a. d( where u-initial velocity, v-final velocity, a-acceleration, d-displacement) now multiplying the equation by m / 2 we have, ½ mv 2 – ½ mu 2 = ma. d = F. d( Since ma = F)
Work The work done by the force is defined to be the product of component of the force in the direction of the displacement and the magnitude of this displacement. W = F. d. No work is done if: o
The displacement is zero