It comes to us by way of French, but ultimately (well, there were probably some PIE roots even earlier, but as far back as I know definitively) it comes from Greek en ergon "at work".
what do we call the energy motion
The energy related to motion is called "kinetic energy".
what do you call the transfer of energy by electromagnetic waves
Potential energy & Chemical energy.
potential energy
luminous energy
potential energy
I would call it an electromagnetic wave, or electromagnetic energy.
When energy is stored, we call it potential energy. This type of energy is stored in an object due to its position or state, and can be converted into kinetic energy when the object moves or changes.
We call moving energy kinetic energy. It is the energy an object possesses due to its motion. The amount of kinetic energy is determined by the mass and speed of the object.
Solar Energy
Wind energy.