Work Energy Theorem Formula

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.

Work energy theorem formula.

Its formula shows that net work done by forces acting on a particle causes a change in that particle s 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. 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. The net work done by the forces acting on a particle is equal to the change in the kinetic energy of the particle.

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. Work energy theorem for variable force. W δke ke ke. The work energy theorem also known as the principle of work and kinetic energy states that the total work done by the sum of all the forces acting on a particle is equal to the change in the kinetic energy of that particle.

Thus we can say that the work done on an object is equal to the change in the kinetic energy of the object. Deriving the work energy formula for variable force is a bit hectic. This definition can be extended to rigid bodies by defining the work of the torque and rotational kinetic energy. The left side of this equation is the work of the.

General derivation of the work energy theorem for a particle. Understand how the work energy theorem only applies to the net work not the work done by a single source. The derivation of the work energy theorem is provided here. This is the derivation of work energy theorem.

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. Equation 4 is the mathematical representation of an important result called the work energy theorem which in words can be stated as follows. Review the key concepts equations and skills for the work energy theorem.

The force that we come across everyday is usually variable forces. 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.