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Explain answer clearly, with complete
Chapter , Problem 18SEQ(choose chapter or problem)
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 .