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Work, w , is one of the fundamental ways energy enters or leaves a system, and it has units of Joules (J ). When a system does work on the surroundings, the system's internal energy decreases. When a system has work done on it, the internal energy of the system increases.
30 sty 2023 · The units of work obtained using this definition are correct for energy: pressure is force per unit area (newton/m 2) and volume has units of cubic meters, so \[w=\left(\dfrac{F}{A}\right)_{\textrm{ext}}(\Delta V)=\dfrac{\textrm{newton}}{\textrm m^2}\times \textrm m^3=\mathrm{newton\cdot m}=\textrm{joule}\]
Outline the derivation of the work-energy theorem. The Work-Energy Theorem. 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.
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 and Law of Conservation of Energy Overview. The lecture begins with a review of the loop-the-loop problem. Professor Shankar then reviews basic terminology in relation to work, kinetic energy and potential energy. He then goes on to define the Work-Energy Theorem.
Derivation of the Work Done Formula. The work-energy theorem states that the work done by all forces acting on a particle equals the change in its kinetic energy. The derivation involves equating the net work done to the change in kinetic energy, which can be represented as: \(\displaystyle W = \Delta KE \)
In the middle step, we used the fact that the square of the velocity is the sum of the squares of its Cartesian components, and in the last step, we used the definition of the particle’s kinetic energy. This important result is called the work-energy theorem (Figure 7.11).
