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Practice EngineQ1 MediumPhysics • Classical Mechanics
+4 / -1
A particle of mass m moves under the action of a central force F(r) = -k/r^2. What is the total energy E of the particle in a circular orbit of radius R?
Detailed Solution & Explanation
For a circular orbit, Centripetal force = Gravitational force => m v^2 / R = k / R^2. Kinetic Energy = (1/2) m v^2 = k / (2R). Potential Energy = -k / R. Total Energy E = KE + PE = k/(2R) - k/R = -k/(2R).