I need help with answering parts a,b, c, and d

(10%) Problem 12: 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 helium4 nuclei ("ll-1e) from gold1.9.T nuclei (lgiAu). During this experiment= the energy of the incoming helium nucleus was 8.00 x 10'13 J= and the masses ofthe helium and gold nuclei were 6.68 x 10'2? kg and 3.29 X 10'25 lcg= respectively (note that their mass ratio is 4- to 19?). $3 25% Part (a) If a helium nucleus scatters at an angle of 120'3 from the initial direction of motion during an elastic collision with a gold nucleus: calculate the helium nucleus=s final speed= in meters per second. V'He = 29.64 Submit Hint I I give up! Q, 25% Part (b) 1nit-"hat is the final speed. in meters per second. of the gold nucleus'iI Q 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. .43.. 25% Part ((1) 1ill-"hat is the final kinetic energy= in joules. of the helium nucleus