The amount of meat in prehistoric diets can be determined by measuring the ratio of the isotopes ¹⁵N to ¹⁴N in bone from human remains. Carnivores concentrate ¹⁵N, so this ratio tells archaeologists how much meat was consumed. For a mass spectrometer that has a path radius of 12.5 cm for ¹²C ions (mass 1.99 × 10^-26 kg), find the separation of the ¹⁴N (mass 2.32 × 10^-26 kg) and ¹⁵N (mass 2.49 × 10^-26 kg) isotopes at the detector.