Consider the charge distribution below. The charge values are $q_1=5C,q_2=-4C$ and $q_3=-3C.$ stands for micro. $q_1$ and $q_2$ are separated by a distance of $0\mathrm{.}3$ m $,$ and $q_2$ and $q_3$ are also separated by a distance of $0\mathrm{.}3$ m $.$

$q_2$

$q_3$

$q_1$

The goal of this problem is to solve for the magnitude and direction of the net force on $q_3$ due to $q_1$ and $q_2.$ The problem is designed to provide for partial credit due from correct process.

The magnitude of the force on $q_3$ due to $q_1$ is

x $-$component of

$,$ which has an and a $y-$component of

The magnitude of the force on $q_3$ due to $q_2$ is

$x-$component of

and a $y-$component of

The net force on $q_3$ has an x $-$component of

and y $-$component

of

The magnitude of the net force on $q_3$ is

$,$ with a direction that is degrees as measured counterclockwise from the positive $x$ axis.