Given,
mass of electron (me) = 9.1 × 10-31 kg
Distance between them(r) = 10 Å =10 × 10-10 m
G = 6.673 × 10-11 N m2 kg-2
The gravitational force between them (Fg) is given by,
Fg = G x \(\frac{(m_e)(m_e)}{r^2}\)
Fg = 6.67 x 10-11 x \(\frac{(9.1\times10^{-31})^2}{(10\,\times\,10^{-10})^2}\) = 5.52 x 10-53 N