Give reason why we can not describe the location of any place on a smooth sphere
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Mathematically, the contact area is zero, and so if the ball had any mass, it would apply infinite pressure to the flat surface...
Staying mathematical, but bringing some equilibrium theory into play, tells us that the ball could only be statically at rest, if there were 3 points of contact. So still playing games with arbitrarily simple modeling, you would say that your sphere would need 3 atoms in contact with your surface. So the smallest possible area would be of the order of the Bohr radius squared.
Getting even more real requires that you take into account non-rigid body mechanics, which, as a physicist, I never do! :-)
Staying mathematical, but bringing some equilibrium theory into play, tells us that the ball could only be statically at rest, if there were 3 points of contact. So still playing games with arbitrarily simple modeling, you would say that your sphere would need 3 atoms in contact with your surface. So the smallest possible area would be of the order of the Bohr radius squared.
Getting even more real requires that you take into account non-rigid body mechanics, which, as a physicist, I never do! :-)
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because we always describe the location of a place with respect to any fixed reference..
and on a smooth sphere there is no such reference
and on a smooth sphere there is no such reference
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