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. The law of conservation of states that the total energy of an isolated system is constant.
For the work-energy theorem to become a statement of conservation of energy, the system must be isolated. There should be no flow of energy from inside the system to the outside or from outside the system to the inside.
A particle is accelerated when a force acts on it. This alters the velocity of the particle and its kinetic energy. Force is the product of mass and acceleration and the kinetic energy of a particle with mass m, traveling at a velocity v is (1/2)*m*v^2.
The change in kinetic energy of a particle is due to the conversion of potential energy in the system. The sum of all potential energy and kinetic energy in a closed system is constant. This is the law of conservation of energy.
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