prove mathematically that force of friction is non conservative force
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The majority of conversions of one type of energy to another have very simple and obvious math which shows that Energy is Conserved. However, when any form of energy is converted into heat, then more complicated forms of the Conservation of Energy are involved. Friction is a process where kinetic energy is (partially) converted into heat. So if the “simple math” is used, then it appears that Energy is not Conserved. But if the more complete forms of the Laws of Thermodynamics are used, then it is obvious that Energy IS conserved.
One of your other answerers partially described it. In math terms, in mechanical situations, the “Conservation of Energy” is defined for a mathematical Field, where processes can go in either direction. But heat is different, and the more complicated math is necessary, as forms of heat are usually not reversible.
One of your other answerers partially described it. In math terms, in mechanical situations, the “Conservation of Energy” is defined for a mathematical Field, where processes can go in either direction. But heat is different, and the more complicated math is necessary, as forms of heat are usually not reversible.
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