3. An exotic atom is a special particle where an electron and an anti-electron (also called a positron) are caught in a mutual orbit. The dynamics of this particle are very similar to that of a Hydrogen atom, except instead of the electron moving around a very heavy proton, the positron and electron move around each other around a common center of mass. Using the classical principles of physics we have discussed in the class, we can come to a close approximation to this physical anomaly! Using the fact that the electron and positron have the same charge magnitude but different signs, e = 1.60 x 10-19 C, the same mass m = 9.11 x 10-31 kg, and the radius of orbit of both from the center of mass is r = 5.29 x 10-11 m. (a) Using Coulomb's Law, what is the attractive force between the positron and electron? (b) Using the principle of uniform circular motion, what is the speed the electron and positron orbit the center of mass? 8= 1:6 x 15 172 m = 9:11 x 16-31 kg r= 5. 29 * 10-I'M K = 9 x10 9 NIM ? / C 2 F= K/81/1921 e