The amount of meat in prehistoric diets can be determined by measuring the ratio

Question

The amount of meat in prehistoric diets can be determined by measuring the ratio of the isotopes nitrogen-15 to nitrogen-14 in bone from human remains. Carnivores concentrate 15N+, so this ratio tells archaeologists how much meat was consumed by ancient people. Suppose you use a velocity selector to obtain singly-ionized (missing one electron) isotopes of speed 8.50 km/s . The spectrometer is calibrated by where 12C+ arrive after traveling around a semicircle. Suppose the 12C+ ions travel along a semicircle with diameter 29.0 cm . Use the actual masses of these ions in your calculations:
1.99×1026 kg for 12C+
2.32×1026 kg for 14N+
2.49×1026 kg for 15N+

Find the separation of the 14N+ and 15N+ isotopes at the detector.

Explanation / Answer

apply KE = change in PE

0.5 mv^2 = Kq1q2/r = Gm1m2/r

here m = mass of one electron = 9.11 e -31 kgs

0.5 * 9.11 e -31 * 8500* 8500 = 6.66 e -11 *2.32 e -26 * 2.49 e -26/r

distance = separation = 3.84 e -62 /(0.5 * 9.11 e -31 * 8500* 8500)

R = 1.169 *10^-36 m

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