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Net work is defined to be the sum of work done by all external forces—that is, net work is the work done by the net external force Fnet. In equation form, this is Wnet = Fnetdcosθ, where θ is the angle between the force vector and the displacement vector.
- 6.4: Work-Energy Theorem
The work W done by the net force on a particle equals the...
- 7.4: Work-Energy Theorem
Work-Energy Theorem argues the net work done on a particle...
- 6.4: Work-Energy Theorem
The work W done by the net force on a particle equals the change in the particle’s kinetic energy KE: \(\mathrm{W=ΔKE=\frac{1}{2}mv_f^2−\frac{1}{2}mv_i^2}\). The work-energy theorem can be derived from Newton’s second law. Work transfers energy from one place to another or one form to another.
Explain work as a transfer of energy and net work as the work done by the net force. Explain and apply the work-energy theorem. Work Transfers Energy. What happens to the work done on a system? Energy is transferred into the system, but in what form? Does it remain in the system or move on? The answers depend on the situation.
According to this theorem, when an object slows down, its final kinetic energy is less than its initial kinetic energy, the change in its kinetic energy is negative, and so is the net work done on it.
When work done on an object increases only its kinetic energy, then the net work equals the change in the value of the quantity 12mv2 1 2 m v 2 . This is a statement of the work–energy theorem, which is expressed mathematically as. W = ΔKE = 1 2mv22 − 1 2mv21. W = Δ K E = 1 2 m v 2 2 − 1 2 m v 1 2.
25 sty 2023 · The work-energy theorem states that the net work done by the external forces on an object is equal to the change in kinetic energy of the object. If \(∆K\) represents the change in kinetic energy of the body and \(W\) represents the work done on it by the external forces, then: \(∆K = W\).
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 …