Two charged spheres are fixed into position on the x-axis as shown below. The first sphere, $S_1$, has a charge of $+2\text{ C}$ and is located at $30\text{ cm}$. The second sphere, $S_2$, has a charge of $+18\text{ C}$ and is located at $70\text{ cm}$. A third sphere $S_3$, with a charge of $+1\text{ C}$ is placed at positions A, B, C and then D.

Rank the magnitudes of the force exerted on $S_3$ at each location from greatest to least.

The force on $S_3$ due to $S_1$ and $S_2$ at A ($10\text{ cm}$) is $F_A$, at B ($40\text{ cm}$) is $F_B$, at C ($60\text{ cm}$) is $F_C$,and at D ($90\text{ cm}$) is $F_D$.

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