A particle of mass \( m \) is moving in a horizontal circle of radius \( r \), under a centripet...

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A particle of mass \( m \) is moving in a horizontal circle of radius \( r \), under a centripetal force equal to \( \left(-k / r^{2}\right) \), where \( k \) is constant. The total energy of the particle is
(A) \( -\frac{k}{r} \)
(B) \( -\frac{k}{2 r} \)
(C) \( +\frac{k}{r} \)
(D) \( +\frac{k}{2 r} \)
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