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Physics Central Force: find effective potential energy, radius of particle's orbit

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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.

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Solution Summary

The solution clearly defines the terms in the problem, prepares the sketch and works out the solution.

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