Question $10$

$4$ pts

Three charges, $q_1=5C,q_2=-3\mathrm{.}7C,$ and $q_3=2C,$ are located at positions shown in the schematic below. Charges $q_1$ and $q_2$ are equidistant from the origin and their separation distance is $19\mathrm{.}2$ cm $.$ Charge $q_3$ is $19\mathrm{.}2$ cm above the origin on the $y$ axis. What is the magnitude of the electric force acting on charge $q_3?$

Report your answer in units of N $.$ For example, if your calculations result in a value of $1\mathrm{.}23$ N $,$ enter your answer as $1\mathrm{.}23.$