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DaleSpam said:Then I don't understand the point. You already seem aware that your model doesn't correctly describe the motion of a general moving particle, so why would you be at all concerned that it also doesn't correctly describe the motion of a stationary particle?
It is possible to use energy principles only to correctly describe a particle in general, you just have to use the Lagrangian approach. You should hold off trying to invent your own approach until you have actually learned Lagrangian mechanics.
My model does absolutely describe the motion of a general moving particle.
I apologise if Lagrangian mechanics shows this. I leave you to judge.
However I conclude that gravitaional force is not equal to mg but ma where a is the actual acceleration of the actual particle not a theoretical value.
To be precise f=mg does not work for a stationary particle but does at all other times.