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