In 1911, Ernest Rutherford discovered the nucleus of the atom by observing the scattering of helium nuclei from gold nuclei. If a helium nucleus with a mass of 6.68 × 10-27 kilogram, a charge of +2e, and an initial velocity of 1.50 × 107 m/s is projected head-on toward a gold nucleus with a charge of +79e, find how close will the helium nucleus come to the gold nucleus before it stops and turns around? (Suppose the gold nucleus is held in place by other gold atoms and does not move. Also suppose that the initial distance of the helium nucleus from the gold nucleus is very large.)