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Get Full Access to University Physics - 13 Edition - Chapter 1 - Problem 55p
Get Full Access to University Physics - 13 Edition - Chapter 1 - Problem 55p

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# An Earthlike Planet. In January 2006 astronomers reported ISBN: 9780321675460 31

## Solution for problem 55P Chapter 1

University Physics | 13th Edition

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Problem 55P

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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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 the planet. 4 3 The volume of the planet is V = r 3 p V olume × density = Mass 4r 3 × d = m 3 p p p 4 3 24 3 × 3.14 × r p × 1760 = 5 × 5.97 × 10 r3p = 0.00405 × 10 24 m 3 8 rp= 0.16 × 10 m 5 3 rp= 0.16 × 10 × 10 m r = 16000 × 10 m 3 p rp= 16000 km (a) Therefore, the radius of the planet is 16,000 km. The radius of earth is r = 6.37 × 10 m 6 e re= 6370 km Dividing r p by r ,e rp re = 16000/6370 rp= 2.51r e (b) herefore, the planet has a radius of 2.51 times larger than earth.

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##### ISBN: 9780321675460

The full step-by-step solution to problem: 55P from chapter: 1 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 55P from 1 chapter was answered, more than 428 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460. This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “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.” is broken down into a number of easy to follow steps, and 80 words. This full solution covers the following key subjects: EARTH, planet, radius, neptune, mass. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

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