Suppose you want to use a repulsive electric force to launch a rocket.

(a) How much charge do you need to create enough repulsion to bring a \(100,000-\mathrm{kg}\) rocket to escape speed \((11,200 \mathrm{~m} / \mathrm{s})\) while the rocket travels \(100 \mathrm{~mm}\) ? Assume that two identical charged objects, one mounted on the rocket, are separated by an average distance of \(1.0 \mathrm{~m}\) for the whole launch.

(b) If each elementary charge requires adding mass equivalent to the mass of one hydrogen atom to the rocket, how much additional mass would be required?