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The energy of the incoming helium nucleus was 7.27  10-13 J, and the masses of the helium...

The energy of the incoming helium nucleus was 7.27  10-13 J, and the masses of the helium and gold nuclei were 6.68  10-27 and 3.29  10-25 kg, respectively (note that their mass ratio is 4 to 197). If a helium nucleus scatters to an angle of 120° during an elastic collision with a gold nucleus, calculate the helium nucleus's final speed. (Enter your answer to at least three significant figures.)

Calculate the final velocity (magnitude and direction) of the gold nucleus. (Assume the positive x direction is the direction in which the helium nucleus is initially traveling, and that it scatters 120° clockwise from the +x axis.)

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