A persons weight, , on a planet of radius is given by = 2,

Chapter , Problem 66

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A persons weight, , on a planet of radius is given by = 2, > 0, where the constant depends on the masses of the person and the planet. (a) A man weighs 180 lb on the surface of the earth. How much does he weigh on the surface of a planet whose mass is the same the earths, but whose radius is three times as large? One-third as large? (b) What fraction of the earths radius must an equally massive planet have if, on this planet, the weight of the man in part (a) is one ton?

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