Physics

Physics

Problem

Calculate the energy, in joule, obtained when 2 mg2\,\mathrm{mg} of matter is completely converted into energy.
Intuitive explanation

This problem is about mass-energy equivalence — Einstein's insight that mass and energy are interchangeable forms of the same thing. The key is recognizing that even a tiny amount of mass contains an enormous amount of energy because the conversion factor c2c^2 (the speed of light squared) is huge. You just need to plug the mass directly into E=mc2E = mc^2 and let the numbers show you why nuclear reactions release so much power.

Intuitive explanation

This problem is about mass-energy equivalence — Einstein's insight that mass and energy are interchangeable forms of the same thing. The key is recognizing that even a tiny amount of mass contains an enormous amount of energy because the conversion factor c2c^2 (the speed of light squared) is huge. You just need to plug the mass directly into E=mc2E = mc^2 and let the numbers show you why nuclear reactions release so much power.

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