Answer :
Answer:
[tex]6.8370869499\times 10^{20}\ N[/tex]
Explanation:
[tex]N_A[/tex] = Avogadro's number = [tex]6.022\times 10^{23}[/tex]
e = Charge of electron = [tex]1.6\times 10^{-19}\ C[/tex]
k = Coulomb constant = [tex]8.99\times 10^{9}\ Nm^2/C^2[/tex]
Z = Atomic number of water = 18
M = Molar mass of water = 0.018 kg/mol
m = Mass of person
The charge is given by
[tex]q=imbalance\times n\times e[/tex]
Total number of protons and electrons in each sphere
[tex]n=\dfrac{mN_AZe}{M}[/tex]
[tex]q=imbalance\times \dfrac{mN_AZe}{M}[/tex]
[tex]q_1=0.0004\times \dfrac{96\times 6.022\times 10^{23}\times 18\times 1.6\times 10^{-19}}{0.018}\\\Rightarrow q_1=3699916.8\ C[/tex]
[tex]q_2=0.0004\times \dfrac{48\times 6.022\times 10^{23}\times 18\times 1.6\times 10^{-19}}{0.018}\\\Rightarrow q_1=1849958.4\ C[/tex]
Electrical force is given by
[tex]F=\dfrac{kq_1q_2}{r^2}\\\Rightarrow F=\dfrac{8.99\times 10^{9}\times 3699916.8\times 1849958.4}{30^2}\\\Rightarrow F=6.8370869499\times 10^{20}\ N[/tex]
The electrostatic force of attraction between them is [tex]6.8370869499\times 10^{20}\ N[/tex]