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Dario Moreno wrote:
What is U, then? I was thaught that
"The so called potential energy, is a scalar function U(x,y,z)
that has the following property: grad U = - force."
You did not learn this in Week #6 of your very first physics
course. Neither did Bob Sciamanda learn about L and H in
that course. I am trying to find a desirable sequence of topics
for a first course, I am not saying that more sophisticated
approaches are wrong in advanced courses.
Ludwik Kowalski