Answer: Joules
Explanation:
Einstein's equation is:
[tex]E=mc^{2}[/tex]
Where:
[tex]E[/tex] is the energy
[tex]m[/tex] is the mass and its SI unit is kilogram [tex]kg[/tex]
[tex]c[/tex] is the speed of light and its SI unit is meters per second [tex]\frac{m}{s}[/tex]
If we input the units in the equation and make the analysis of the units:
[tex]E=kg{(\frac{m}{s})}^{2}=kg \frac{m^{2}}{s^{2}}[/tex]
Rearranging the units:
[tex]E=kg \frac{m}{s^{2}}m[/tex]
As we know 1 Newton is [tex]1 N=kg \frac{m}{s^{2}}[/tex]
[tex]E=Nm[/tex]
And 1 Joule is [tex]1J=Nm[/tex]
[tex]E=J[/tex] This is correct because the Joule is the SI unit for energy
