Answer:
The number of electrons need to leave each object is [tex]3.35\times10^{9}[/tex]
Explanation:
Given that,
Mass of object = 6.22 kg
Distance = 1.02 m
We need to calculate the number of electron
Using formula of electric force
[tex]F_{e}=\dfrac{k(q)^2}{r^2}[/tex]....(I)
We know that,
[tex]q = Ne[/tex]
Put the value of q in equation (I)
[tex]F_{e}=\dfrac{k(Ne)^2}{r^2}[/tex].....(II)
Using gravitational force
[tex]F_{G}=\dfrac{Gm^2}{r^2}[/tex].....(III)
Equating equation (II) and (III)
[tex]F_{e}=F_{G}[/tex]
[tex]\dfrac{k(Ne)^2}{r^2}=\dfrac{Gm^2}{r^2}[/tex]
[tex]N=\sqrt{\dfrac{G}{k}}\times\dfrac{m}{e}[/tex]....(IV)
Put the value in the equation(IV)
[tex]N=\sqrt{\dfrac{6.67\times10^{-11}}{9\times10^{9}}}\times\dfrac{6.22}{1.6\times10^{-19}}[/tex]
[tex]N=3.35\times10^{9}[/tex]
Hence, The number of electrons need to leave each object is [tex]3.35\times10^{9}[/tex]
