Answer to Question #291607 in Electricity and Magnetism for Ceyhun

Question

7. Up to what distance can two electrons approach each other if they are moving toward each other with a relative velocity of 10^{^}8 sm/s?

Answer 1

By conservation of energy:

$$2·\dfrac12mv^2=\dfrac1{4\pi\epsilon_0}\dfrac{e^2}{r},\\\space\\ r=\dfrac {e^2}{4v^2{\pi\epsilon_0m}}=2.53·10^{-10}\text{ m}.$$