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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.
The Work–Energy Theorem. In physics, the term work has a very specific definition. Work is application of force, f f, to move an object over a distance, d, in the direction that the force is applied. Work, W, is described by the equation. W = fd. W = f d.
Use the work-energy theorem to find information about the forces acting on a particle, given information about its motion. We have discussed how to find the work done on a particle by the forces that act on it, but how is that work manifested in the motion of the particle?
The work-energy theorem states that the net work \(W_{net} \) on a system changes its kinetic energy, \(W_{net} = \frac{1}{2}mv^2 - \frac{1}{2}mv_0^2\).
The quantity 1 2 mv 2 1 2 mv 2 in the work-energy theorem is defined to be the translational kinetic energy (KE) of a mass m m moving at a speed v v. ( Translational kinetic energy is distinct from rotational kinetic energy, which is considered later.)
Work-Energy Theorem argues the net work done on a particle equals the change in the particle’s kinetic energy. According to this theorem, when an object slows down, its final kinetic energy is …
What is the change in the kinetic energy? Find the final velocity using the work-energy theorem. Solution: As only one force acts on the ball, the change in kinetic energy is the work done by gravity, W. g = −. mg ( y. −. y. 0) (13.6.2) = (−2.0 ×10. −1 . kg)(9.8 m ⋅s-2 )(5 m −15 m) = 2.0 ×10. 1 . J. The ball started from rest, v ...