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A body that has energy may transfer some, or all, of its energy to another body. The total amount of energy remains constant (conserved) even if it has been transformed to another type. The amount of energy transformed (∆E) is called work W. The body losing energy does work, the body gaining energy has work done on it.
Work-energy theorem: The net/total work done on an object is equal to the change in the object’s kinetic energy. In symbols: Wnet = ∆ EK. 2 Wnet = 2m(vf. - vi 2) Conservative force: The work done by the force in moving an object between 2 points is independent of the path taken ex. gravitational, electrostatic and elastic forces.
Work W is the energy transferred to or from an object by means of a force acting on the object. Energy transferred to the object is positive work, and energy transferred from the object is negative work.
Work is done - for example, when an object is squashed, kinetic energy is converted into elastic potential energy. Energy is emitted or absorbed in the form of electromagnetic radiation - for example, when thermal/internal energy of a radiator is transmitted by infrared radiation.
Work-Energy Theorem: (a special case of the law of conservation of energy) The change in kinetic energy of a system equals the sum of work done by all the individual forces on the system: ∆K = ∑W Strictly speaking this theorem applies to rigid ("non-squishy") objects KJF §10.3
The Work – Energy Theorem The definition of the work-energy theorem is that work results in a change in mechanical energy W = E mechanical From this equation we can derive the equations for kinetic energy, gravitational potential energy, and spring potential energy. The following derivations are for instructional
This video explains the work energy theorem and discusses how work done on an object increases the object’s KE.
