Physics Problems to Challenge Understanding
lhup.edu
lhup.edu
But shouldn't the burden be put on the educator to provide problem scenarios for understanding that aren't unrealistic? It just seems common sense to develop an uninterested attitude toward things that start out trying to prove by understanding a thing that could never happen.
Posing problems that sidestep how nature might actually behave allows the educator to isolate concepts for the student and improve proficiency (before adding higher order perturbations).
Reflecting over it I feel that however what author suggests formally is the right answer and the right strategy to think about the problem, the whole problem as it's described in the second, "more open-minded" fashion is simplification beyond being justifiable. When I'm supposed to give an answer like that I'd strongly prefer problem being defined in strict scientific terminology, without all these silly "Arnies" and "Wimpies" and "thug of war", which, admittedly, makes the "supposed answer" pretty much obvious. Because the real thug of war just isn't happening between two atomic objects and I would feel very uncomfortable accepting this all-too-abstract model. Abstract models are good and useful only inside the boundaries where the predicted results actually match the reality, when it's untrue — the more complex, more realistic and less abstract model has to be applied.
And that's basically the problem with all that approach, when author ignores the fact he's stretching the model he wants to be applied a bit too damn far and hopes that students would neglect it and follow his lead basically guessing what he was thinking when designing the problem. I don't think this is how science should be done. Because science, originally, isn't about solving riddles: it is about describing and interpreting perceived reality. And, well, having intuition about the physical reality is pretty damn important.
So I rather empathize with those `continually looking for "defects" in problems`, because they still believe the reality is what happens on the street, not in the professor's imagination.
There is no stretching of the model or anything happening. Even if you account for higher order effects, A and B would still not be true.
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