88. The particle with charge –qhas both potential and kinetic energy, and both of these change when the radius of the orbit is changed. We first find an expression for the total energy in terms of the orbit radius r. Qprovides the centripetal force required for –qto move in uniform circular motion. The magnitude of the force is F = Qq/4πε0r2. The acceleration of –qis v2/r, where vis its speed. Newton’s second law yields 22200,44qQmvQqmvrrrπεπε=⇒=and the kinetic energy is 20128QqKmvrπε
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.