what does it mean if energy is conserved throughout a system?

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what does it mean if energy is conserved throughout a system?

Physics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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I'm not sure i think it is the law of conservation of energy which say (energy neither be created nor destroyed but it changes from A form to Another )
If energy is conserved throughout a system then the total energy of the system does not change unless energy is transferred into or out of the system.
Everything said so far is correct. It also means the system has no net work done on it and the system itself also does no net work. As a theoretical and pragmatic matter in Physics, the conservation of energy is key to many problems.

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is it correct to say, mass to energy conversion is actually a violation of conservation of energy principle as you see energy is CREATED from mass or it still holds good because.. mass is actually a FORM of energy and its basically transformed?
So first year you learn Physics in High School, you learn about the Conservation of Energy. Second year, you learn about a more expansive version: Conservation of Mass-Energy. Even so, in many classical problems in Physics, Conservation of Energy is what you need and use.

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