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Prove that F = r2r is conservative and find the scalar potential.

Prove that F = r2r is conservative and find the scalar potential.

Grade:12th pass

1 Answers

Rishi
19 Points
6 years ago
If integration of force with respect to `r` is possible the n the force is conservative. Clearly here the integration of F=2r^2 with respect to `r` is 2r^3/3. Potential energy is the negative of work done by internal conservative force. Therefore P.E. is -2r^3/3

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