Consider the Sun-Jupiter system. The mass of the Sun is Ms= 1.99*10^30 kg and the mass of Jupiter is Mj = 1.90*10^27 kg. Jupiter orbits in a circle about the Sun and the distance between the center of the Sun and the center of the Jupiter is r = 7.78*10^11 m. (c) What is the magnitude of the acceleration of Jupiter due to the gravitational force the Sun exerts on Jupiter? (d) Based on the acceleration of Jupiter due to the gravitational force the Sun exerts on Jupiter calculated in Part (b), what is the period T of Jupiter’s orbit about the Sun? (e) How far from the center of the Sun is the center of mass of the Sun-Jupiter system?
Consider the Sun-Jupiter system. The mass of the Sun is
Ms= 1.99*10^30 kg and the mass of Jupiter is Mj = 1.90*10^27 kg. Jupiter orbits in a circle about the Sun and the distance between the center of the Sun and the center of the Jupiter is r = 7.78*10^11 m.
(c) What is the magnitude of the acceleration of Jupiter due to the
gravitational force the Sun exerts on Jupiter?
(d) Based on the acceleration of Jupiter due to the gravitational force the Sun exerts on Jupiter calculated in Part (b), what is the period T of Jupiter’s orbit about the Sun? (e) How far from the center of the Sun is the center of mass of the Sun-Jupiter system?
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