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Prove that the potential energy of a central force F =
Chapter 7, Problem 7.25(choose chapter or problem)
QUESTION:
Prove that the potential energy of a central force F = krni (with n 1) is U = krn+11(n 1). In particular, if n = 1, then F = kr and U = tkr2
Questions & Answers
QUESTION:
Prove that the potential energy of a central force F = krni (with n 1) is U = krn+11(n 1). In particular, if n = 1, then F = kr and U = tkr2
ANSWER:Step 1 of 2
The following are given by the question:
The force,
For the central force the gradient of potential can be represented as
The given force has only component.
Integrate the above function