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Chapter , Problem 18SEQ

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QUESTION:

Problem 18SEQ

Explain answer clearly, with complete sentences and proper essay structure if needed. An asterisk (*) designates a quantitative problem, for which you should show all your work.

*A Black Hole I? You‘ve just discovered a new X-ray binary, which we will call Hyp-X1 (“Hyp” for hypothetical). The system Hyp-X1 contains a bright, B2 main-sequence star orbiting an unseen companion. The separation of the stars is estimated to be 20 million kilometers, and the orbital period of the visible star is 4 days.

a. Use Newton’s version of Kepler’s third law to calculate the sum of the masses of the two stars in the system. (Hint: See Tools of Science, p. 96.) Give your answer in both kilograms and solar masses (MSun = 2.0 × 1030 kg).

b. Determine the mass of the unseen companion. Is it a neutron star or a black hole? Explain. (Hint: A B2 main-sequence star has a mass of about 10MSun.)

Questions & Answers

QUESTION:

Problem 18SEQ

Explain answer clearly, with complete sentences and proper essay structure if needed. An asterisk (*) designates a quantitative problem, for which you should show all your work.

*A Black Hole I? You‘ve just discovered a new X-ray binary, which we will call Hyp-X1 (“Hyp” for hypothetical). The system Hyp-X1 contains a bright, B2 main-sequence star orbiting an unseen companion. The separation of the stars is estimated to be 20 million kilometers, and the orbital period of the visible star is 4 days.

a. Use Newton’s version of Kepler’s third law to calculate the sum of the masses of the two stars in the system. (Hint: See Tools of Science, p. 96.) Give your answer in both kilograms and solar masses (MSun = 2.0 × 1030 kg).

b. Determine the mass of the unseen companion. Is it a neutron star or a black hole? Explain. (Hint: A B2 main-sequence star has a mass of about 10MSun.)

ANSWER:

Problem 18SEQ

Explain the answer clearly, with complete sentences and proper essay structure if needed. An asterisk (*) designates a quantitative problem, for which you should show all your work.

*A Black Hole I? You ‘ve just discovered a new X-ray binary, which we will call Hyp-X1 (“Hyp” for hypothetical). The system Hyp-X1 contains a bright,  main-sequence star orbiting an unseen companion. The separation of the stars is estimated to be , and the orbital period of the visible star is .

a. Use Newton’s version of Kepler’s third law to calculate the sum of the masses of the two stars in the system. (Hint: See Tools of Science, p. 96.) Give your answer in both kilograms and solar masses ( ).

b. Determine the mass of the unseen companion. Is it a neutron star or a black hole? Explain. (Hint: A  main-sequence star has a mass of about .)

                                                       Step by Step Solution

Step 1 of 2

The separation of star is .

The time period is .

The mass of sun is .

The mass of is .

(a)

In order to determine mass, we have to:

Apply the relation from Kepler’s third law.

 

For, , ,  and  in the above expression.

Therefore,  

The mass of stars in solar mass is calculated as:

The mass of the two stars in kg and solar mass is  and .

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