Kinetic energy formula is 1/2 mv^2
Mass has SI units of kg
Velocity has SI units of m s^-1
Velocity^2 has SI units of m^2 s^-2
Hence, Base units of kinetic energy is
Kg m^2 s^-2
Gravitational potential energy has a formula of mgh
SI units of m is kg
SI units of g, gravitational acceleration is
m s^-2
SI units of h is m
Hence, Base units of gravitational potential energy is
Kg m s^-2 m
We can simply this into
Kg m^2 s^-2
We can see that both SI base units of Ke and Gpe is the same
In physics, the SI unit given to energy is J representing joules.