Consider a hypothetical extra solar world, planet Tungsten, that has twice the radius of the Earth and

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Consider a hypothetical extra solar world, planet Tungsten, that has twice the radius of the Earth and twice its density. 

(a) What is the acceleration due to gravity on the surface of planet Tungsten? 

(b) An interstellar astronaut lands on the equator of this planet and finds that his apparent weight matches his weight on the Earth. What is the period of rotation of planet Tungsten?

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