Work Kinetic Energy Theorem Formula

It turns out that kinetic energy and the amount of work done in the system are strictly correlated and their relation can be described by the work energy theorem.

Work kinetic energy theorem formula.

The kinetic energy ke of an object of mass m that is moving with velocity v is. The quantity latex frac 1 2 mv 2 latex in the work energy theorem is defined to be the translational kinetic energy ke of a mass m moving at a speed v translational kinetic energy is distinct from rotational kinetic energy which is considered later in equation form the translational kinetic energy latex text ke frac 1 2 mv 2 latex is the energy associated with. Force is a vector work and energy are scalars. Work energy theorem for variable force.

Work energy theorem states that. Mathematically it is expressed as. W net k f k i k. In particle dynamics a formula equating work applied to a system to its change in kinetic energy is obtained as a first integral of newton s second law of motion.

The net work done by the forces acting on the body is equal to the change in kinetic energy of the body it is also known as the principle of work and kinetic energy. The work energy theorem this is a theorem that states the net work on an object causes a change in the kinetic energy of the object. So let s review kinetic energy remember kinetic energy which we ll abbreviate ke is one half the mass times the velocity squared okay. What is work energy theorem.

Work is an action that is performed on an object or system and that transfers energy from one location to another or from one form to another. It states that the work done by all external forces is converted into a change of kinetic energy. Its formula shows that net work done by forces acting on a particle causes a change in that particle s kinetic energy. Kinetic energy and the work energy theorem.

This is the derivation of work energy theorem. Thus it is often easier to solve problems using energy considerations instead of using newton s laws i e. Deriving the work energy formula for variable force is a bit hectic. It is useful to notice that the resultant force used in newton s laws can be separated into forces that are applied to the particle and forces imposed by constraints on the movement.

W δke ke ke. This definition can be extended to rigid bodies by defining the work of the torque and rotational kinetic energy. The principle of work and kinetic energy also known as the work energy theorem states that the work done by the sum of all forces acting on a particle equals the change in the kinetic energy of the particle. Thus we can say that the work done on an object is equal to the change in the kinetic energy of the object.