As a first approximation a First Person Physics would wanna overlap with Newtonian mechanics big time, meaning notions of power, energy, momentum, force, velocity and action would need to be defined and distinguished in much the same ways, while adding voltage, current and resistance as post-Newtonian concepts nevertheless connectable to same, bridging through energy, which may be stored, as potential.
Adding electrical concepts adds water, so to speak, meaning the hydrodynamical metaphors.
Force for a distance is work (W = E), reminding us of Sisyphus (a mnemonic), with s for distance and our laboring rock pusher both. He pushes (accelerates) a rock against gravity, up a hill, for a distance, spending energy. doing work.
How fast he accomplishes this work relates to horsepower but let's think in "energy slave" terms. How many robots would it take to push the rock to the top in just under five minutes? In under two?
Power through a transformer is a constant. It's not like in boosting the pressure behind each marching charge-bearer (marching back and forth in AC) that we're gaining energy from nowhere. Energy is conserved. What we lose or gain in voltage pressure, we gain or lose in current.
Less current at high voltage is better for long distance transmission via conductors, whereas lower voltage with more juice flowing is what end-user loads will require, with a transformer in between primary and secondary networks.
Force through a time will alter a thing's momentum, and a delta in momentum is in units of momentum. The more the force the more the change.
Sisyphus is likewise working through time and at the end of the day both time and distance apply, taking us in both cases to action. Lights, camera, action (said the director god).
Energy is action (S) with a frequency (E = Sf or S/t) or mvs per t. Sisyphus belongs here too, as an agent or actor, one who acts. Little-s represents the difference he's making, in the rock's position in space.
Think of a frame of exposed film. Action happened in a time requiring an energy expenditure. Speed up the film: more power. Power (P) is Energy per time (E/t).
So now we have big-S action and little-s distance. The big S might stand for "swerve" as in "swervy curve" and represents "least action" in the sense of a Lagrangian, wherein the difference between potential and kinetic energy is optimized along the resulting pathway.
Nature is not into unnecessarily wasting energy when it comes to balancing all the tradeoffs. She has to take everything into account, by definition.














