According to Coulomb's Law, if two point charges q₁ and q₂ are placed a distance r apart, the magnitude of the force between them is given by:
![F=k(q_1q_2)/(r^2)](https://img.qammunity.org/2023/formulas/physics/high-school/iao9txmpbokjnzh44v7zt1co5tnb0yt6uz.png)
Where k is the Coulomb's constant:
![k=8.99*10^9N(m^2)/(C^2)](https://img.qammunity.org/2023/formulas/physics/college/57plior9k97l567jjt71zsdkvdprgqlyyv.png)
Replace q₁=(9x10^-5)C and q₂=(6x10^-4)C, as well as r=3m to find the force between the two charges:
![F=(8.99*10^9N(m^2)/(C^2))*((9*10^(-5)C)(6*10^(-4)C))/((3m)^2)=53.94N\approx54N](https://img.qammunity.org/2023/formulas/physics/college/ukjby9viv3uxdig5xqv19emz1pm1nfgv7d.png)
Therefore, the force between the two charges is approximately 54N.