Answer:
r = 5.1 m
Explanation:
As we know that the force of gravitation on the object is given as
[tex]F = mg[/tex]
here we know that
[tex]m = 9.1 \times 10^{-31} kg[/tex]
[tex]F = (9.1 \times 10^{-31})(9.81)[/tex]
[tex]F = 8.93 \times 10^{-30}N[/tex]
now the electrostatics force between electron and proton is same as that of gravitation force
so we have
[tex](8.93 \times 10^{-30}) = \frac{(9\times 10^9)(1.6 \times 10^{-19})^2}{r^2}[/tex]
[tex]8.93 \times 10^{-30} = \frac{2.3 \times 10^{-28}}{r^2}[/tex]
[tex]r = 5.1 m[/tex]
