10. A satellite is placed into a circular orbit around the planet Jupiter, which has mass M, and radius RJ. a. If the radius of the orbit is R. use Newton's laws to derive an expression for the orbital velocity. b. If the satellite increases its orbital radius, how would it change the orbital velocity? Explain, c. If the radius of the orbit is R, use Newton's laws to derive an expression for the satellite's orbital period. d. Derive an equation for the frequency of the satellite's orbit. LVL 4 11. Two objects attract each other gravitationally. If the distance between their centers is cut in half, the gravitational force a. Is one fourth b. Is half c. Is doubled d Quadruples 12. Two objects, with masses m; and ma are originally a distance r apart. The magnitude of the gravitational force between them is F. The masses are changed to 2m, and 2my and the distance is changed to 4r. What is the magnitude of the new gravitational force? a. F/16 b. F14 C. 6F d 4F 13. As a rocket moves away from the Earth's surface, the rocket's weight a. Increases b Decreases. C. remains the same d. depends on how fast it is moving A hypothetical planet has a mass of half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity at the Earth? a g b. 9/2 C. 9/4 d. 9/8