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« on: December 06, 2010, 07:05:27 AM »

23. Suppose that the gravitional force law between two massive objects were \vec{F}_{12}=\hat{r}_{12} Gm_1m_2/r^{2+\epsilon}_{12}, where \epsilon is a small positive number. Which of the following statements would be FALSE?
(A) The total mechanical energy of the planet-Sun system would be conserved.
(B) The angular momentum of a single planet moving about the Sun would be conserved.
(C) The periods of planets in circular orbits would be proportional to the (3+\epsilon)/2 power of their respective orbital radii.
(D) A single planet could move in a stationary noncircular elliptical orbit about the Sun.
(E) A single planet could move in a stationary circular orbit about the Sun.
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