A metal sphere hangs from a string and has $6kg$ of mass. The sphere has a charge of $+2\mathrm{.}5C.$ A uniform electric field is turned on and directed to the right.

$($a$)$ Which way does the spnere move?

left

right

$($b$)$ What is the electric force on the metal sphere if the magnitude of the electric field is ${10}^6\frac{N}{C}?$

$N$

$($c$)$ When the sphere reaches equilibrium, what is the angle that the string makes with the vertical axis $($assuming the same electric field as part $($b$))?$