A particle of mass \( \mathrm{m} \) is moving in a horizontal ciric...

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A particle of mass \( \mathrm{m} \) is moving in a horizontal ciricle of radius \( \mathrm{R} \) under a centripetal force equal to \( \frac{\mathrm{A}}{\mathrm{r}^{2}}(\mathrm{~A}= \) constant). The total energy of the particle is :
(Potential energy at very large distance is zero)
(1) \( \frac{A}{R} \)
(2) \( -\frac{A}{R} \)
(3) \( \frac{A}{2 R} \)
(4) \( -\frac{\mathrm{A}}{2 \mathrm{R}} \)
\( \mathrm{P} \)
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