3.8.1.6
Mass and energy are equivalent: $E = mc^{2}$
Nuclear Energy & Binding Energy — AQA A-Level Physics
Key Definition
Mass-energy equivalence — Einstein's principle that mass can be converted into energy and energy can be converted into mass, related by E = mc².
$$E = mc^2$$
- $E$: energyThe capacity to do work. Measured in joules (J). (J)
- $m$: mass (kg)
- $c$: speed of light in a vacuum (3.0 × 10⁸ m s⁻¹)
- A small amount of mass corresponds to a very large amount of energyThe capacity to do work. Measured in joules (J). because c² ≈ 9 × 10¹⁶.
- Examples: hydrogen fusing into helium in stars, fission of uranium in nuclear reactors, particle-antiparticle annihilationThe process in which a particle and its corresponding antiparticle collide and convert their combined rest mass into energyThe capacity to do work. Measured in joules (J)., typically producing two gamma photons. in accelerators.
- This equation applies to all nuclear reactions where the total mass of products differs from the total mass of reactants.