Dale
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The point I have been trying to get across to you is that your explanation is wrong (or at least incomplete), even when you are dealing with a case that has motion. You have to do more than what you are suggesting. Specifically you have to use energy to construct the action then use the principle of least action to analyze the motion. Otherwise even for a moving object you cannot get the right path.Adeste said:I am trying to explain motion from energy only and it works for every observable situation. (by works it agrees with forces produced by interaction with fields.)
For example, given an object of 1 kg mass in a 1 g uniform field, what is the trajectory if it has KE = 100 J and PE = 0 J initially?
If that is all that you are given then you cannot solve for the trajectory.
Even if you are also given an initial velocity, how does simple conservation of energy tell you that you get a parabolic path. Why not just a straight line path with the speed determined by energy considerations? You need something additional, the principle of least action.
Since your explanation doesn't work for the moving case, you shouldn't be surprised that it doesn't work for the stationary case either.
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