Si unit of potential energy?

1 Answer
Apr 24, 2018

Please understand that the SI unit for potential energy is the same as the SI unit for all energy, the Joule.

The Joule in SI base units is defined as:

#J =(kg*m^2)/s^2#

Please consider the equation for kinetic energy.

#K.E. = 1/2mV^2#

The units for #V# is #m/s#

Square that #m^2/s^2#

Multiply by the units for mass:

#(kg*m^2)/s^2#

Let's consider Gravitational potetial energy:

#P.E. = mgh#

The units for #m# is #kg#:

#P.E. = kggh#

The units for #g# is #m/s^2#:

#P.E. = kgm/s^2h#

The units for #h# is #m#:

#P.E. = (kg*m^2)/s^2#

Lets look at #E = mC^2#

The units for #m# is #kg#:

#E = kgC^2#

The units for #C# is #m/s# square it #m^2/s^2#

#E = (kg*m^2)/s^2#

I hope that this helps you to understand that the SI unit for all types of energy is, the Joule.