Physics · Classical Mechanics
Consider a particle of mass m and nonzero angular momentum l subjected to a central force potential V(r) = k ln(r), where k is a positive constant. What is the radius R at which it can have a circular orbit, and will the circular orbit be stable or unstable?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1R = l√(2km) and stable
- 2R = l√(km) and unstable
- 3R = l√(km) and stable✓
- 4R = l√(2km) and unstable
Correct answer
R = l√(km) and stable
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