Please include a free body diagram, thre physics concepts used, all initial equations used and show all the works.A small sphere has charge $q=+9\mathrm{.}0C$ and mass $m=35g.$

It is hung from a vertical spring, which causes the spring to

stretch by $x=7\mathrm{.}0cm$ from its equilibrium length. Then a

downward electric field is applied to this region of space, which

causes the sphere to descend through a distance of $d=2\mathrm{.}5cm.$

What is the magnitude $E$ of this electric field? For the limit

check, investigate what happens to $E$ if the sphere barely re$-$

sponds to the electric field being turned on $($i$.$e$.,d0).$