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Explain how the work-energy theorem leads to an expression for the relativistic kinetic energy of an object; Show how the relativistic energy relates to the classical kinetic energy, and sets a limit on the speed of any object with mass; Describe how the total energy of a particle is related to its mass and velocity
In physics, the energy–momentum relation, or relativistic dispersion relation, is the relativistic equation relating total energy (which is also called relativistic energy) to invariant mass (which is also called rest mass) and momentum.
The relativistic energy expression E = mc 2 is a statement about the energy an object contains as a result of its mass and is not to be construed as an exception to the principle of conservation of energy. Energy can exist in many forms, and mass energy can be considered to be one of those forms.
The equation \(E^2 = (pc)^2 + (mc^2)^2\) relates the relativistic total energy \(E\) and the relativistic momentum \(p\). At extremely high velocities, the rest energy \(mc^2\) becomes negligible, and \(E = pc\).
In this section, we show how to define momentum and energy in a way that is consistent with the postulates of Special Relativity. We expect that, since time and space depend on the frame of reference of the observer, so too will the momentum and the energy of an object.
Compute total energy of a relativistic object. Compute the kinetic energy of a relativistic object. Describe rest energy, and explain how it can be converted to other forms. Explain why massive particles cannot reach C.
16 Relativistic Energy and Momentum. 16–1 Relativity and the philosophers. In this chapter we shall continue to discuss the principle of relativity of Einstein and Poincaré, as it affects our ideas of physics and other branches of human thought.
Relativistic Energy. One of the most important laws in physics is the conservation of energy. Not only does energy have many significant forms, but also each form can be transformed into other forms. In this article, you will read about the concept of relativistic energy, total and rest energy forms. Table of Contents.
The equation [latex]{E^2 = (pc)^2 + (mc^2)^2}[/latex] relates the relativistic total energy [latex]{E}[/latex] and the relativistic momentum [latex]{p}[/latex]. At extremely high velocities, the rest energy [latex]{mc^2}[/latex] becomes negligible, and [latex]{E = pc}[/latex].
E = mc 2, equation in German-born physicist Albert Einstein’s theory of special relativity that expresses the fact that mass and energy are the same physical entity and can be changed into each other.