The drawing (not to scale) shows one alignment of the sun, earth, and moon. the gravitational force vector f sm that the sun exerts on the moon is perpendicular to the force vector f em that the earth exerts on the moon. the masses are: mass of sun = 1.99 1030 kg, mass of earth = 5.98 1024 kg, mass of moon = 7.35 1022 kg. the distances shown in the drawing are rsm = 1.5 1011 m and rem = 3.85 108 m. determine the magnitude of the net gravitational force on the moon.

Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. the first has a mass of 2.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. assume that the positive direction is directed from the second satellite towards the first satellite. (a) calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest.(b) what is the loss of kinetic energy in this inelastic collision? (c) repeat both parts, in the frame of reference in which the second satellite was originally at rest. final velocity(d) loss of kinetic energy = ?