Coulomb's Law 4. Two electron's in an atom are separated by 1.5times 10^-10 m, the typical size of an atom. What is the force between them?

To calculate the force between two electrons in an atom using Coulomb's Law, we need to know the charge of each electron and the distance between them. The charge of an electron is approximately $-1.6\times 10^{-19}$ C. The distance between the two electrons is given as $1.5\times 10^{-10}$ m.<br /><br />Coulomb's Law states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Mathematically, it can be expressed as:<br /><br />$F = k \frac{|q_1 \cdot q_2|}{r^2}$<br /><br />where:<br />- $F$ is the force between the charges,<br />- $k$ is the Coulomb constant ($8.99\times 10^9$ N⋅m²/C²),<br />- $q_1$ and $q_2$ are the charges of the particles,<br />- $r$ is the distance between the charges.<br /><br />Substituting the given values into the formula, we have:<br /><br />$F = (8.99\times 10^9$ N⋅m²/C²) $\frac{(1.6\times 10^{-19}$ C)²}{(1.5\times 10^{-10}$ m)^2}$<br /><br />Calculating this expression gives us the force between the two electrons in the atom.