Answer: The charge on the balloon-2 is [tex]7.7\times 10^{-7} C[/tex]
Explanation:
Charge on balloon-1, [tex]Q_1=8.2\times 10^{-7} C[/tex]
Distance between two balloons,r = [tex]2.1\times 10^{-1} m[/tex]
Repressive force between the balloons ,F= [tex]1.3\times 10^{-1} N[/tex]
[tex]F=k\times \frac{Q_1\times Q_2}{r^2}[/tex]
[tex]1.3\times 10^{-1} N=9\times 10^{9} N m^2/C^2\times \frac{8.2\times 10^{-7} C\times Q_2}{(2.1\times 10^{-1} m)^2}[/tex]
[tex]Q_2=\frac{1.3\times 10^{-1} N\times (2.1\times 10^{-1} m)^2}{9\times 10^{9} N m^2/C^2\times 8.2\times 10^{-7} C}[/tex]
[tex]Q_2=7.7\times 10^{-7} C[/tex]
The charge on the balloon-2 is [tex]7.7\times 10^{-7} C[/tex]
