Open Question: How close would the masses 0.470 kg and 0.102 kg have to be in order for the gravitational force between them?
They would have to be so close that no imaginable material could be dense enough.
The basic formula is F = G Mm/ R^2
G is the universal constant of gravitation. ( = 6.67 * 10 ^ -11)
Rewriting we get R = sqrt ( G Mm/F)
= sqrt(6.67 * 10 ^ -11 * 0.47 *0.10/1.01)
=1.76 * 10 ^ -6 m.
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