The charge on each coin is equal to [tex]2.50 \times 10^{-10}\;Coulomb[/tex]
Given the following data:
To determine the charge on each coin, we would apply the law of electrostatic forces:
Mathematically, the law of electrostatic forces is given by the formula:
[tex]F = \frac{kq_1q_2}{r^2}[/tex]
Note: [tex]q_1 = q_2[/tex] (since the coin carry identical electric charges).
Therefore, the formula becomes:
[tex]F = \frac{k(2q)}{r^2}[/tex]
Making q the subject of formula, we have:
[tex]q=\frac{Fr^2}{2k}[/tex]
Substituting the given parameters into the formula, we have;
[tex]q=\frac{2 \times 1.5^2}{2 \times 8.99 \times 10^9}\\\\q=\frac{2 \times 2.25}{2 \times 8.99 \times 10^9}\\\\q=\frac{4.5}{17.98 \times 10^9}\\\\q=2.50 \times 10^{-10}\;Coulomb[/tex]
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