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Physics Central Force: find effective potential energy and sketch

A particle of mass 50g moves under an attractive central force of magnitude 4r^3 dynes. The angular momentum is equal to l,000 g*cm/s.

a) Find the effective potential energy.
b) Indicate on a sketch of the effective potential the total energy for circular motion.
c) The radius of the particle's orbit varies between ro and 2ro. Find ro.

Solution Summary

The solution clearly defines the terms of the problem, draws the sketch and calculates the answer.