Question

Einstein's famous equation indicates that E=mc^2, where c is the speed of light and m is the object's mass. Given this, what is the SI unit for E?

Answer 1

Answer: Joules

Step-by-step explanation:

Einstein's equation is:

`E=mc^(2)`

Where:

`E` is the energy

`m` is the mass and its SI unit is kilogram
`kg`

`c` is the speed of light and its SI unit is meters per second
`(m)/(s)`

If we input the units in the equation and make the analysis of the units:

`E=kg{((m)/(s))}^(2)=kg (m^(2))/(s^(2))`

Rearranging the units:

`E=kg (m)/(s^(2))m`

As we know 1 Newton is
`1 N=kg (m)/(s^(2))`

`E=Nm`

And 1 Joule is
`1J=Nm`

`E=J` This is correct because the Joule is the SI unit for energy