Answer:
[tex]9.01\times 10^{-31}\ kg[/tex]
Explanation:
Given that,
The gravitational force between two electrons is [tex]5.42\times 10^{-71}\ N[/tex]
The electrons are 1 m apart.
The formula for the gravitational force is given by :
[tex]F=G\dfrac{m^2}{r^2}[/tex]
Where
m is the mass of the electrons
[tex]m=\sqrt{\dfrac{Fr^2}{G}} \\\\m=\sqrt{\dfrac{5.42\times 10^{-71}\times 1^2}{6.67\times 10^{-11}}} \\\\m=9.01\times 10^{-31}\ kg[/tex]
So, the mass of the electron is [tex]9.01\times 10^{-31}\ kg[/tex].
