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(Solved): Ernest Rutherford (the first New Zealander to be awarded the Nobel Prize in chemistry) demonstrated ...



Ernest Rutherford (the first New Zealander to be awarded the Nobel Prize in chemistry) demonstrated that nuclei were very small and dense by scattering helium-4 nuclei (4He) from gold-197 (197Au). See the figure below. The energy of the incoming helium nucleus was 7.80 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. m/s 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.) magnitude m/s direction ° (counterclockwise from the +x-axis)

 



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-> Let us use the subscript 'b' for before collision and subscript 'a' after collision. -> Let us use the subscript '1' for Helium and subscript '2' for gold. -> For elastic
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