Suppose that the gravitational force law between two massive objects were Gm1m₂ F12 = 12 2+€ where € is a small positive number. Which of the following statements would be FALSE? O The angular momentum of a single planet moving about the Sun would be conserved. O A single planet could move in a stationary circular orbit about the Sun. O A single planet could move in a stationary noncircular elliptical orbit about the Sun. O The total mechanical energy of the planet-Sun system would be conserved. O The periods of planets in circular orbits would be proportional to the (3 + €)/2 power of their respective orbital radii.

Suppose that the gravitational force law between two massive objects were Gm1m₂ F12 = 12 2+€ where € is a small positive number. Which of the following statements would be FALSE? O The angular momentum of a single planet moving about the Sun would be conserved. O A single planet could move in a stationary circular orbit about the Sun. O A single planet could move in a stationary noncircular elliptical orbit about the Sun. O The total mechanical energy of the planet-Sun system would be conserved. O The periods of planets in circular orbits would be proportional to the (3 + €)/2 power of their respective orbital radii.