Work Energy Theorem Formula

Equation 4 is the mathematical representation of an important result called the work energy theorem which in words can be stated as follows.

Work energy theorem formula.

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. Work energy theorem for variable force. Kinetic energy and the work energy theorem as is evident by the title of the theorem we are deriving our ultimate goal is to relate work and energy. This is the derivation of work energy theorem.

The left side of this equation is the work of the. Its formula shows that net work done by forces acting on a particle causes a change in that particle s kinetic energy. The work energy theorem describes the direct relationship between work and energy. 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.

General derivation of the work energy theorem for a particle. The net work done by the forces acting on a particle is equal to 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. This definition can be extended to rigid bodies by defining the work of the torque and rotational kinetic energy.

The derivation of the work energy theorem is provided here. 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. For any net force acting on a particle moving along any curvilinear path it can be demonstrated that its work equals the change in the kinetic energy of the particle by a simple derivation analogous to the equation above. It states that the work done by all external forces is converted into a change of kinetic energy.

This explanation can be extended to rigid bodies by describing the work of rotational kinetic energy and torque. The force that we come across everyday is usually variable forces. This makes sense as both have the same units and the application of a force over a distance can be seen as the use of energy to produce work. Review the key concepts equations and skills for the work energy theorem.

W δke ke ke. 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.