Question #284923
How much force is repelled by two pieces of copper, each weighing 1 g, located at a distance of 100 km, if all the atoms of one and the other piece are "taken away" by electrons, ie all atoms in the samples are completely ionized ?, 




1
Expert's answer
2022-01-05T11:37:39-0500

Determine how many atoms of copper there are in 1 g of copper:


N=nNA=mMNA.N=nN_A=\dfrac m{\Mu}N_A.


The charge of each atom, therefore, is


q=eZN=emMZNA.q=eZN=e\dfrac m{\Mu}ZN_A.


The force between the charges:


F=14πϵ0q2r2=14πϵ0(emZNA)2(Mr)2, F=1.718109 N.F=\dfrac 1{4\pi\epsilon_0}·\dfrac{q^2}{r^2}=\dfrac 1{4\pi\epsilon_0}·\dfrac{(emZN_A)^2}{(\Mu r)^2},\\\space\\ F=1.718·10^9\text{ N}.


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