2.15 The Earth has a mass of 5.97 x 1024 kg and the Moon has a mass of 7.36 x 1022 kg. The average distance between the

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2 15 The Earth Has A Mass Of 5 97 X 1024 Kg And The Moon Has A Mass Of 7 36 X 1022 Kg The Average Distance Between The 1 (62.08 KiB) Viewed 22 times

2.15 The Earth has a mass of 5.97 x 1024 kg and the Moon has a mass of 7.36 x 1022 kg. The average distance between the centre of the Earth and the centre of the Moon is 3.84 x 108 m. (a) What is the gravitational force act- ing on the Moon due to the Earth? (b) What is the gravitational force act- ing on the Earth due to the Moon? c) How far away would the Moon need to be for the magnitude of the gravi- tational force acting on it due to the Earth be the same as the magnitude of the gravitational force of a 72 kg student sitting at their desk on the surface of the earth? a (d) A supermassive black hole passes through the edge of the solar sys- tem 1.20 x 1013 m away. The gravi- Х tational force between an observant 79 kg astronomer and the black hole is 1 N. What is the mass of the black hole?