So the above equation follows.
Work energy theorem formula physics.
K i initial kinetic energy.
Deriving the work energy formula for variable force is a bit hectic.
The work energy theorem is useful however for solving problems in which the net work is done on a particle by external forces is easily computed and in which we are interested in finding the particles speed at certain positions of even more significance is the work energy theorem as a starting point for a broad generalization of the concept.
According to this theorem the net work done on a body is equal to change in kinetic energy of the body.
Now we will see the theorem that relates them.
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.
This definition can be extended to rigid bodies by defining the work of the torque and rotational kinetic energy.
Review the key concepts equations and skills for the work energy theorem.
Understand how the work energy theorem only applies to the net work not the work done by a single source.
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.
W δke ke ke.
Work energy theorem for variable force.
K f k i w.
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 is known as work energy theorem.
Where k f final kinetic energy.
Thus we can say that the work done on an object is equal to the change in the kinetic energy of the object.
W net work done.
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.
It can be represented as.
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.
In physics work is the process of energy transfer to the motion of an object via application of a force.
It states that the work done by all external forces is converted into a change of kinetic energy.