In 1911, Ernest Rutherford discovered the nucleus of the atom. Experiments leading to this discovery involved the scattering of alpha particles by the heavy nuclei in gold foil. When alpha particles are thrust toward the gold nuclei, the particles are deflected and follow a hyperbolic path. Suppose that the minimum distance that the alpha particles get to the gold nuclei is 4 microns (1 micron is one-millionth of a meter) and that the hyperbolic path has asymptotes of y = ±r. Determine an equation of the path of the particles shown. gold nuclei alpha particles 10 12 14 16

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