In the Bohr model of the hydrogen atom, an electron in the lowest energy state moves around the nucleus at a speed of 2.19 × 10 6 m/s at a distance of 0.529 × 10 − 10 m from the nucleus. (a) What is the electric potential due to the hydrogen nucleus at this distance? (b) How much energy is required to ionize a hydrogen atom, whose electron is in this lowest energy state? Assume the electric potential goes to zero as r → [infinity] .