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I have three objects: A, B and C. A and B neither attract nor
repel each other. However, both are attracted to C.
I can think of two ways this can happen. One is that
there is an attraction between A and B but it is too small
to notice, as in the gravitational attraction between
a chair (A), me (B) and the earth (C).
Another has to do with polarization of opposite "charge"
in A and B, which leads to an attraction (if the force
depends upon distance) to C but not each other.
Apparently, I am missing other ways because I am blinded
by what I already know from other experiments. Can someone
explain these other ways to me?