94. 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 QrmvrmvQqrq4402220ππεε=¡=, and the kinetic energy isKmvQqr==12208πε. The potential energy is
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This note was uploaded on 01/25/2011 for the course PHYSICS 17029 taught by Professor Rebello,nobels during the Spring '10 term at Kansas State University.