This is simply a matter of units! Energy (E) is measured in joules (J), which are the same as kg m^2 s^-2. Mass (m) is measured in kg and the speed of light (c) in m/s (which is the same as m s^-1).
If you square the speed of light, you get m^2/s^2, or m^2 s^-2.
Therefore: E = mc^2 -> J = kg m^2 s^-2 -> kg m^2 s^2 = kg m^2 s^2. The units are then all the same each side of the equation!
You can check out this web page for further information:
Explication d'Alloprof
Cette explication a été donnée par un membre de l'équipe d'Alloprof.
Hi AlligatorTurquoise,
Thanks for your question!
This is simply a matter of units! Energy (E) is measured in joules (J), which are the same as kg m^2 s^-2. Mass (m) is measured in kg and the speed of light (c) in m/s (which is the same as m s^-1).
If you square the speed of light, you get m^2/s^2, or m^2 s^-2.
Therefore: E = mc^2 -> J = kg m^2 s^-2 -> kg m^2 s^2 = kg m^2 s^2. The units are then all the same each side of the equation!
You can check out this web page for further information:
Don't hesitate to reach out again if needed:)
Kylan
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