In this problem, we will apply Gauss's law to a conducting shell that surrounds a charge. This problem is spherically symmetric, which makes it an ideal candidate for a Gauss's law analysis. A hollow conductor carries a net charge of $+7$ nC$.$ In its cavity, insulated from the conductor, is a small, isolated sphere with a net charge of $5$ nC$.$ How much charge is on the outer surface of the hollow conductor? How much is on the inner surface of the cavity? Part A $-$ practice problem Determine the charge on the outer surface of the hollow conductor for the case where the conductor has a net charge of $+2$ nC$.$ Express your answer in nanocoulombs.