(Solved): Shown in the figure is an equilateral triangle with side lengths of \( 0.006 \) meters and three p ...

Shown in the figure is an equilateral triangle with side lengths of \( 0.006 \) meters and three point charges at the vertices. \( q_{1} \) has a charge of \( -7 u C, q_{2} \) has a charge of \( -3 \mathrm{uC} \) and \( \mathrm{q}_{3} \) has a charge of \( 3 \mathrm{uC} \). Calculate the potential energy of the system of charges in joules. Using \( 9 \times 10^{9} \) for \( k \) enter your answer in units of joules rounding your final answer to two decimal places.