The planet Uranus has a radius of 25,360 km and a surface
Chapter 13, Problem 13.66(choose chapter or problem)
The planet Uranus has a radius of 25,360 km and a surface acceleration due to gravity of 9.0 m>s 2 at its poles. Its moon Miranda (discovered by Kuiper in 1948) is in a circular orbit about Uranus at an altitude of 104,000 km above the planets surface. Miranda has a mass of 6.6 * 1019 kg and a radius of 236 km. (a) Calculate the mass of Uranus from the given data. (b) Calculate the magnitude of Mirandas acceleration due to its orbital motion about Uranus. (c) Calculate the acceleration due to Mirandas gravity at the surface of Miranda. (d) Do the answers to parts (b) and (c) mean that an object released 1 m above Mirandas surface on the side toward Uranus will fall up relative to Miranda? Explain
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