12. Two charges, \( q 1 \) and \( q 2 \) have a total charge of \( 6 \mathrm{mC} \). When there are separated by \( 3 \mathrm{~m} \), the force exerted by one charge on the other has a magnitude of \( 8 \mathrm{mN} \). Find \( \mathrm{q} l \) and \( \mathrm{q} 2 \) if (a) both are positive so that they repel each other and (b) one is positive and the other is negative so that they attract each other. 13. A positive charge \( \mathrm{Q} \) is to be divided into two positive charges \( \mathrm{q} 1 \) and \( \mathrm{q} 2 \).
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Two objects carry initial charges that are $q_{1}$ and $q_{2},$ respectively, where $\left|q_{2}\right|>\left|q_{1}\right| .$ They are located $0.200 \mathrm{~m}$ apart and behave like point charges. They attract each other with a force that has a magnitude of $1.20 \mathrm{~N}$. The objects are then brought into contact, so the net charge is shared equally, and then they are returned to their initial positions. Now it is found that the objects repel one another with a force whose magnitude is equal to the magnitude of the initial attractive force. What are the magnitudes of the initial charges on the objects?
Two objects carry initial charges that are $q_{1}$ and $q_{2}$, respectively, where $\left|q_{2}\right|>\left|q_{1}\right| .$ They are located $0.200 \mathrm{~m}$ apart and behave like point charges. They attract each other with a force that has a magnitude of $1.20 \mathrm{~N}$. The objects are then brought into contact, so the net charge is shared equally, and then they are returned to their initial positions. Now it is found that the objects repel one another with a force whose magnitude is equal to the magnitude of the initial attractive force. What are the magnitudes of the initial charges on the objects?
Two point charges $q_{1}$ and $q_{2}$ are 3.00 $\mathrm{m}$ apart, and their total charge is 20$\mu \mathrm{C}$ . (a) If the force of repulsion between them is $0.075 N,$ what are magnitudes of the two charges? (b) If one charge attracts the other with a force of $0.525 \mathrm{N},$ what are the magnitudes of the two charges? Note that you may need to solve a quadratic equation to reach your answer.
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