7. A satellite of mass m circles a planet of mass M and radius R in an orbit at a height 2R above the surface. What minimum energy is required to change the orbit to one for which the height of the satellite is 3R above the surface? (A) (B) (C) (D)(E)

5. A solid wheel with mass M, radius R, and rotational inertia MR²/2, rolls without sliding on a horizontal surface. A horizontal force F is applied to the axle and the center of mass has an acceleration a. The magnitudes of the applied force F and the frictional force f of the surface, respectively, are: (A)F = Ma, f = 0 (B)F = Ma, f = Ma/2 (C)F = 2Ma, f = Ma (D)F = 2Ma, f = Ma/2 (E)F = 3Ma/2, f = Ma/2

7. A satellite of mass m circles a planet of mass M and radius R in an orbit at a height 2R above the surface. What minimum energy is required to change the orbit to one for which the height of the satellite is 3R above the surface?
(A)
(B)
(C)
(D)
(E)

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