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9. A space probe is travelling along a straight line between two planets. Each planet is assumed to be a solid sphere. The mass of the first planet is M, 5,90 x 1024 kg and has radius R₁ = 6,31 x 10 m. The mass of the second planet is M₂-7,29 x 1022 kg and has radius R₂ = 1,77 x 10 m. If the distance along the straight line from the centre of the first planet to the centre of the second planet is 4,01 x 10 m, then at what distance from the surface of the second planet will the force of gravity on the space probe due to the second planet balance the force of gravity on the space probe due to the first planet? (Round your answer to the nearest kilometre.)

9. A space probe is travelling along a straight line between two planets. Each planet is assumed to be a solid sphere. The mass of the first planet is M, 5,90 x 1024 kg and has radius R₁ = 6,31 x 10 m. The mass of the second planet is M₂-7,29 x 1022 kg and has radius R₂ = 1,77 x 10 m. If the distance along the straight line from the centre of the first planet to the centre of the second planet is 4,01 x 10 m, then at what distance from the surface of the second planet will the force of gravity on the space probe due to the second planet balance the force of gravity on the space probe due to the first planet? (Round your answer to the nearest kilometre.)

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9. A space probe is travelling along a straight line between two planets. Each planet is assumed to be a solid sphere. The mass of the first planet is M₁ = 5,90 x 1024 kg and has radius R₁ = 6,31 x 10 m. • The mass of the second planet is M₂=7,29 x 1022 kg and has radius R₂ = 1,77 x 106 m. If the distance along the straight line from the centre of the first planet to the centre of the second planet is 4,01 x 10 m, then at what distance from the surface of the second planet will the force of gravity on the space probe due to the second planet balance the force of gravity on the space probe due to the first planet? (Round your answer to the nearest kilometre.) (a) 38 345 km (b) 49 695 km (c) 41 298 km (d) 20 706 km (e) 31941 km
Transcribed Image Text:9. A space probe is travelling along a straight line between two planets. Each planet is assumed to be a solid sphere. The mass of the first planet is M₁ = 5,90 x 1024 kg and has radius R₁ = 6,31 x 10 m. • The mass of the second planet is M₂=7,29 x 1022 kg and has radius R₂ = 1,77 x 106 m. If the distance along the straight line from the centre of the first planet to the centre of the second planet is 4,01 x 10 m, then at what distance from the surface of the second planet will the force of gravity on the space probe due to the second planet balance the force of gravity on the space probe due to the first planet? (Round your answer to the nearest kilometre.) (a) 38 345 km (b) 49 695 km (c) 41 298 km (d) 20 706 km (e) 31941 km
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