Question

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Answer 1

Answer:

$9.01\times 10^{-31}\ kg$

Explanation:

Given that,

The gravitational force between two electrons is $5.42\times 10^{-71}\ N$

The electrons are 1 m apart.

The formula for the gravitational force is given by :

$F=G\dfrac{m^2}{r^2}$

Where

m is the mass of the electrons

$m=\sqrt{\dfrac{Fr^2}{G}} \\\\m=\sqrt{\dfrac{5.42\times 10^{-71}\times 1^2}{6.67\times 10^{-11}}} \\\\m=9.01\times 10^{-31}\ kg$

So, the mass of the electron is $9.01\times 10^{-31}\ kg$.