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Mass–energy equivalence

Intermediate

Mass is a form of energy.

Key relationE = mc²

Mass is a form of energy: E = mc². A tiny mass change releases huge energy: 1 g is 9×10¹³ J, about 21 kilotons of TNT.

Worked example

The Sun loses about 4 million tonnes of mass per second.

Common mistake

Not "mass turns into energy"; the system's mass changes when its energy changes.

In more detail

Einstein's equation E = mc² states that mass and energy are equivalent. A small amount of mass corresponds to a very large amount of energy, because the speed of light squared is huge.

Real-world uses

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Frequently asked questions

Does mass really turn into energy?

In nuclear reactions, the mass of the products is slightly less than the reactants, and the difference appears as energy.

Why is c squared so important?

Because the speed of light is very large, so even tiny masses correspond to enormous energies.

Does mass really turn into energy?

In nuclear reactions the total mass drops slightly and that mass appears as kinetic and radiant energy, consistent with E = mc².

Related topics in Work, Energy & Power

Work done by gravity on incline · Heat as energy transfer · Mechanical equivalent of heat · Sources of energy · Renewable energy · Conservation of energy in collisions

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