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# Hot Jupiters. In 2004 astronomers reported the discovery ISBN: 9780321675460 31

## Solution for problem 28E Chapter 13

University Physics | 13th Edition

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Problem 28E

Hot Jupiters. In 2004 astronomers reported the discovery of a large Jupiter-sized planet orbiting very close to the star HD 179949 (hence the term “hot Jupiter”). The orbit was just the distance of Mercury from our sun, and it takes the planet only 3.09 days to make one orbit (assumed to be circular). (a) What is the mass of the star? Express your answer in kilograms and as a multiple of our sun’s mass. (b) How fast (in km/s) is this planet moving?

Step-by-Step Solution:

Solution 28E Introduction We have to first calculate the mass of the star. Then we have to find out the speed of the planet hot jupiter. Step 1 The distance from the sun to jupiter is a = 5.88 × 10 m 11 j Hence the distance from the star HD 179949 to hot jupiter is a = a /9 = 6.53 × 10 m 10 hj j Now orbital time period of hot jupiter is T = 3.09 day = 2.67 × 10 s5 hj Now the orbital time period is given by 2a 3/2 T = Gm s 4 a 3 m = s GT 2 Now putting the values of the planet hot jupiter we have 4 (5.88×1011m)3 33 m s 11 2 2 5 = 2.31 × 10 kg (6.67×10 N.m /kg )(2.67×10 s) 33 Hence the mass of the planet is 2.31 × 10 kg .

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##### ISBN: 9780321675460

Since the solution to 28E from 13 chapter was answered, more than 406 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: University Physics, edition: 13. The full step-by-step solution to problem: 28E from chapter: 13 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: planet, our, star, hot, sun. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The answer to “Hot Jupiters. In 2004 astronomers reported the discovery of a large Jupiter-sized planet orbiting very close to the star HD 179949 (hence the term “hot Jupiter”). The orbit was just the distance of Mercury from our sun, and it takes the planet only 3.09 days to make one orbit (assumed to be circular). (a) What is the mass of the star? Express your answer in kilograms and as a multiple of our sun’s mass. (b) How fast (in km/s) is this planet moving?” is broken down into a number of easy to follow steps, and 83 words.

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Hot Jupiters. In 2004 astronomers reported the discovery