state work energy theorem derive it for constant force - Physics - Physical World

Question

state work energy theorem derive it for constant force

Babu · Accepted Answer

We know that according to the third equation of motion,

Multiplying both sides by m/2, we obtain

∴

Where,

= Final kinetic energy

= Initial kinetic energy W = FS = Work done Equation (i) is a special case of work energy (WE) theorem The change in kinetic energy of a particle is equal to the work done on it by the net force Work Work is said to be done when the point of application of the forces moves in the direction of the force If a constant force

is applied on a body and the body has a displacement

in the direction of the force as shown in fig, then the work done on the body by the force is given by,

When the displacement

state work energy theorem. derive it for constant force.