A sodium ion $N{a}^{+}$has mass $3\mathrm{.}817{10}^{-26}kg$ and is initially at rest on the origin of a Cartesian coordinate system. Another ion will be placed, initially at rest, on the positive $x-$axis some distance away.

Scenario A: A carbonate ion $C{O}_3^{2-}($mass $9\mathrm{.}965{10}^{-26}kg)$ is placed at $(6\mathrm{.}00cm,0).$

Scenario B: A potassium ion $K^{+}($mass $6\mathrm{.}492{10}^{-26}kg)$ is placed at $(6\mathrm{.}00cm,0).$

Scenario C: A sulfate ion $S{O}_4^{2-}($mass $1\mathrm{.}595{10}^{-25}kg)$ is placed at $(3\mathrm{.}00cm,0).$

Scenario D: A chloride ion $C{l}^{-}($mass $5\mathrm{.}887{10}^{-26}kg)$ is placed at $(3\mathrm{.}00cm,0).$

a$)$ In which scenario is the magnitude of the electric force on the sodium ion the largest?

b$)$ What is the electric force on the sodium ion in the scenario you chose in $($a$)?$ Remember that vectors have both magnitude and direction. Give the direction of the vector as either $+$hat$(x)$ or $-$hat$(x).$