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The total energy of an isolated system will not change if it has no interaction with the outside.

The reason for this is that energy is conserved.

(To be exact about it, one needs to be a little picky about what it means means to be isolated. That means no radiation of light and no gravitational interactions and no electromagnetic forces, but that is pretty much understood when one says "isolated.")

Mechanical energy does not generally include things like heat, electromagnetic energy and chemical energy, to name a few.

Assuming mechanical energy is entirely kinetic and potential energy, then energy is conserved in an isolated system only if the exchange of energy is between mechanical and potential. Expand the definition of "mechanical energy" and you can exchange between any forms of energy in your definiion.

That is the only condition that the conservation of mechanical energy is achieved.

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12y ago

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