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(4%) Problem 22: Ernest Rutherford (who was the first person born in New Zealand to be awarded the Nobel Prize in chemistry) demonstrated that nuclei were very small and dense by scattering helium-4 nuclei (“He) from gold-197 nuclei (197Au). During this experiment, the energy of the incoming helium nucleus was 8.00 x 10-13 J, and the masses of the helium and gold nuclei were 6.68 x 10-27 kg and 3.29 x 10-25 kg, respectively (note that their mass ratio is 4 to 197). A 25% Part (a) If a helium nucleus scatters at an angle of 120° from the initial direction of motion during an elastic collision with a gold nucleus, a calculate the helium nucleus's final speed, in meters per second. A 25% Part (b) What is the final speed, in meters per second, of the gold nucleus? A 25% Part (c) Calculate the angle of the gold nucleus's final path, in degrees. Measure the angle in the same manner as the final direction of the helium nucleus. 25% Part (d) What is the final kinetic energy, in joules, of the helium nucleus? Grade Summary КЕНе Deductions 0% Potential 1009 Late Work % 100% sino cos tan ( 7 8 HOME Late Potential 100% cotan asin acos E A4 5 = 9 元|E 6 C.