5. The two most massive bodies in the solar system are the Sun and the planet...

   

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5. The two most massive bodies in the solar system are the Sun and the planet Jupiter, with masses of Ms = 1.99 x 1030 kg and MJ = 1.90 x 1027 kg. The average separation between them is 7.80 x 10 m. (a) Calculate the magnitude of the gravitational force between the Sun and Jupiter. Note that the gravitational constant is G = 6.673 x 10- m/kg s. (b) The radius of the Sun is Rs = 6.96 x 108 m. Does the centre of mass of the Sun-Jupiter system lie inside of, or outside of the Sun? Take the Sun's centre as the origin of your coordinates. (c) The Earth has a mass of Mr = 5.97 x 1024 kg and is separated from the Sun by 1.50 x 10 m. If Jupiter is in the i direction and Earth is in the -j direction, what is the centre of mass of the Earth-Sun-Jupiter system? 5. The two most massive bodies in the solar system are the Sun and the planet Jupiter, with masses of Ms = 1.99 x 1030 kg and MJ = 1.90 x 1027 kg. The average separation between them is 7.80 x 10 m. (a) Calculate the magnitude of the gravitational force between the Sun and Jupiter. Note that the gravitational constant is G = 6.673 x 10- m/kg s. (b) The radius of the Sun is Rs = 6.96 x 108 m. Does the centre of mass of the Sun-Jupiter system lie inside of, or outside of the Sun? Take the Sun's centre as the origin of your coordinates. (c) The Earth has a mass of Mr = 5.97 x 1024 kg and is separated from the Sun by 1.50 x 10 m. If Jupiter is in the i direction and Earth is in the -j direction, what is the centre of mass of the Earth-Sun-Jupiter system?