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I agree. If a student says that a satellite remains in orbit because the gravitational force balances the centripetal force, I can't say "No, you are wrong." If I insist on banishing centrifugal forces from my class, the more honest response is: "No, I don't want you to think about it that way." Maybe better to open the door...time spent explaining why these forces do not really exist could just as easily be spent explaining when it's OK to use them.We all know you meant 'centrifugal' in the first line above. Your last point though is exactly what I do. We are in the middle of the Newtonian model when we hit rotations in my 101 level course, so I explicitly let the class know that we are going to analyze the rotations from that point of view. I do let them know (although they will never take any more physics--well may 102) that there are ways to deal with the situation where the outward 'fictitious' forces are considered real.
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