Respuesta :
Gravitational force is given by the formula
[tex]F_g = \frac{Gm_1m_2}{r^2}[/tex]
here we know that
[tex]F_g = 1.26 \times 10^{-47}N[/tex]
[tex]m_1 = 9.11 \times 10^{-31} kg[/tex]
[tex]m_2 = 1.67 \times 10^{-27} kg[/tex]
now we will plug in all values in above equation
[tex]F_g = \frac{(6.67 \times 10^{-11})(9.11 \times 10^{-31})(1.67 \times 10^{-27})}{r^2}[/tex]
now solving for distance "r" between them
[tex]r = 8.97 \times 10^{-11} m[/tex]
so above is the distance between them
F = gravitational force between electron and proton = 1.26 x 10⁻⁴⁷ N
m = mass of proton = 1.67 x 10⁻²⁷ kg
M = mass of the electron = 9.11 x 10⁻³¹ kg
r = distance between electron and proton = ?
G = universal gravitational constant = 6.67 x 10⁻¹¹
gravitational force between electron and proton is given as
F = G M m/r²
inserting the values
(1.26 x 10⁻⁴⁷) = (6.67 x 10⁻¹¹) (1.67 x 10⁻²⁷) (9.11 x 10⁻³¹)/r²
r = 8.97 x 10⁻¹¹ m
