Two small, identical conducting spheres repel each other with a force of $0\mathrm{.}5N$ when they are $0\mathrm{.}24m$ apart. After a conducting wire is connected between the spheres and then removed, they repel each other with a force of $0\mathrm{.}6N($the spheres are still separated by $0\mathrm{.}24m).$

What is the original charge on each sphere? Assume that $q_1$ is positive and $q_1>q_2,$ where $q_1$ represents the initial charge on sphere $1$ and $q_2$ is the initial charge on sphere $2.$

Part $1$

$q_1=3\mathrm{.}11e-5$

Part $2$

$q_2=3\mathrm{.}69e-5$