Suppose that the gravitational force law between two massive objects were (2+E) F2 r12 Gmm/r12 12...

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Suppose that the gravitational force law between two massive objects were (2+E) F₁2 r12 Gm₁m₂/r12 12 where 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+6)/2 power of their respective orbital radii. D. A single planet could move in a stationary non circular elliptical orbit about the Sun. E. A single planet could move in a stationary circular orbit about the Sun. Suppose that the gravitational force law between two massive objects were (2+E) F₁2 r12 Gm₁m₂/r12 12 where 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+6)/2 power of their respective orbital radii. D. A single planet could move in a stationary non circular elliptical orbit about the Sun. E. A single planet could move in a stationary circular orbit about the Sun.

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