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An Earthlike Planet. In January 2006 astronomers reported
Chapter 1, Problem 55P(choose chapter or problem)
An Earthlike Planet. In January 2006 astronomers reported the discovery of a planet, comparable in size to the earth, orbiting another star and having a mass about 5.5 times the earth’s mass. It is believed to consist of a mixture of rock and ice, similar to Neptune. If this planet has the same density as Neptune (1.76 g/cm3), what is its radius expressed (a) in kilometers and (b) as a multiple of earth’s radius? Consult Appendix F for astronomical data.
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QUESTION:
An Earthlike Planet. In January 2006 astronomers reported the discovery of a planet, comparable in size to the earth, orbiting another star and having a mass about 5.5 times the earth’s mass. It is believed to consist of a mixture of rock and ice, similar to Neptune. If this planet has the same density as Neptune (1.76 g/cm3), what is its radius expressed (a) in kilometers and (b) as a multiple of earth’s radius? Consult Appendix F for astronomical data.
ANSWER:Solution 55P Mass of the planet m = 5p e Now, mass of earth m = 5.97 × 10 24kg e 24 So, mass of the planet m = 5p× 5.97 × 10 kg The density of the planet is d = p.76 g/cm 3 3 d p 1.76 × 1000 kg/m 3 d p 1760 kg/m Let r p be the radius of th