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In my view, the value of these exercises is twofold: ... Second,
students are forced to learn the actual laws of physics (in these
cases, Newton's second law and Coulomb's law), rather than focusing
all their attention on special-case solutions of these laws as we
normally do in our introductory courses. There is no better way for
students to come to appreciate the generality of the laws of
physics.
First, students
are learning an incredibly useful tool (mathematical programming)
that in all likelihood they will use again in their careers.