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I don't think the theory changed anything. In classical mechanics, energy is conserved; in the theory of relativity, energy is also conserved. Also note that there are two "theories of relativity"; you may want to clarify which one you are talking about. In any case, it is my understanding that energy is conserved in both cases.

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Q: How did Albert Einstein's theory of relativity change the law if conservation of energy?
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How did Albert Einsteins theory of relativity change the law of conservation of energy?

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