The radius of Earth is 6370 km, while that of Mars is 3440 km. The mass of Mars is 11% of the mass of Earth. A rover bui

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The Radius Of Earth Is 6370 Km While That Of Mars Is 3440 Km The Mass Of Mars Is 11 Of The Mass Of Earth A Rover Bui 1 (1001.61 KiB) Viewed 24 times

The radius of Earth is 6370 km, while that of Mars is 3440 km. The mass of Mars is 11% of the mass of Earth. A rover built to study Mars has a mass of 100 kg. (a) By what factor is the rover heavier on Earth than on Mars? [4] (b) The rover is put into low Ewth orbit. Derive an expression to show that the orbital period of the rover depends only on the density of Earth, and not on the Earth's radius. [Hint: you can assume that the radius of the orbit is equal to the radius of the planet.] [8] (c) Determine how much extra energy the rover needs in order for its orbit to be raised from an altitude of 250 km to 350 km. The mass of Earth is 5.97 x 1024 kg. [Hint: the rover will have both kinetic and gravitational potential energy.]