The first way to explain free energy is actually through electromagnetism. When we try to move a mass with a magnetic field, we are trying to move it towards another mass. The force that holds the two objects together is called the magnetic moment. The force and the magnetic moment are defined by
The force depends not only on the actual position of a particle, but also on its direction of motion:
And it depends on the square of the distance:
The first law of magnetism explains the fact that you can’t actually bring a mass with another mass, and vice versa. But, using the second law of magnetism we can find an equivalent way to describe free energy. This is by using a second interaction: energy/mass. If you can use this law to calculate the energy for any particle (or energy for all particles in general), you can then use that to calculate free energy and the mass and energy of any particle.
Energy/mass and second law of magnetism explain the following equation for the total energy of a system which is independent of the two particles in question:
E = mc2
The second law of magnetism explains the following equation for the net magnetic moment of a system which is connected to a body that is attracted to it:
m2 = p2
This means that if you start from a body with a large magnetic moment and move in the direction of the attraction, you can keep moving in the same direction. When you stop the movement, the magnetic moment of the body will return to the same value, because no matter how fast you are moving the system will remain attached to the body.
This second interaction is not as simple as it sounds. The second law only works for systems that are moving in the same way. You can apply this second law to other systems, but you can’t use it to understand what’s actually happening:
If you try to use the second law on any system that is stationary, such as a magnet and a coil coil coil, in any direction, the second law will tell you that the net magnet moment (that is what’s called a power), in that system will go to zero.
When we put this same idea of a system that has just moved out of the way into the concept of two particles that are now “separated” but still can move in the same direction, we can understand why we can describe the first law by another law (and vice versa):
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