Centrifugal potential and gradient

Course Queries Syllabus Queries 3 years ago

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manpreet Tuteehub forum best answer Best Answer 3 years ago

 

I'm learning about angular moment anref="https://forum.tuteehub.com/tag/d">d central forces, anref="https://forum.tuteehub.com/tag/d">d in my ref="https://forum.tuteehub.com/tag/syllabus">syllabus I came across this formula:

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How did they get 1 over r? I am familiar with the gradient, but I've never seen the gradient calculated for a central potential, so I think I'm a little bit confused here. I would have just thought that the magnitude of FF equals ref="https://forum.tuteehub.com/tag/d">d(Uc)/ref="https://forum.tuteehub.com/tag/d">drref="https://forum.tuteehub.com/tag/d">d(Uc)/ref="https://forum.tuteehub.com/tag/d">dr, but apparently a factor 1/r1/r comes into play, and I don't know why.

Coulref="https://forum.tuteehub.com/tag/d">d someone ref="https://forum.tuteehub.com/tag/help">help me?

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