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Mechanical Energy for a Circular Orbit

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The potential energy of a particle in a central force field is given by the function U(r)=−kr+λr2U(r) = -\frac{k}{r} + \frac{\lambda}{r^2}, where kk and λ\lambda are positive constants. If the particle travels in a circular orbit of radius r0r_0, what is its total mechanical energy EE?

A

E = -k/2r₀ + λ/r₀²

B

E = -k/r₀ + λ/r₀²

C

E = -k/(2r₀)

D

E = k/r₀ - λ/r₀²

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