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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.
- 7.2: Kinetic Energy and the Work-Energy Theorem
The work-energy theorem states that the net work \(W_{net}...
- 7.4: Work-Energy Theorem - Physics LibreTexts
Work-Energy Theorem argues the net work done on a particle...
- 7.2: Kinetic Energy and the Work-Energy Theorem
The work-energy theorem states that the net work \(W_{net} \) on a system changes its kinetic energy, \(W_{net} = \frac{1}{2}mv^2 - \frac{1}{2}mv_0^2\).
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 …
For our derivation we will. xf. be working with the net work and the net force. So the equation is: W = ∫ F dx net net and we know, x. ∑. ! according to Newton’s Second Law, that F = m!a. f. therefore W = net. ∫ ( ma)dx. xi. (Let’s drop the vector symbol over the acceleration because everything here will be in the x direction.) x. f.
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.
We will see in this section that work done by the net force gives a system energy of motion, and in the process we will also find an expression for the energy of motion. Let us start by considering the total, or net, work done on a system. Net work is defined to be the sum of work on an object.
When work done on an object increases only its kinetic energy, then the net work equals the change in the value of the quantity 1 2 m v 2 1 2 m v 2. This is a statement of the work–energy theorem , which is expressed mathematically as
