What Is Average Kinetic Energy?
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Kinetic energy is the energy associated with the motion of a body. Classically, the kinetic energy is m(v^2)/2. The average kinetic energy is the just the average of the kinetic energy. If you are referring to a gas or other multi-body/multi-particle system it is the average of the kinetic energy of all the particles.
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Temperature is a measure of the average kinetic energy of all the molecules in a gas. As the temperature and, therefore, kinetic energy, of a gas changes, the RMS speed of the gas molecules also changes. The RMS speed of the molecules is the square root of the average of each individual velocity squared...
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