The two stars in a certain binary star system move in circularorbits. The first
ID: 2100954 • Letter: T
Question
The two stars in a certain binary star system move in circularorbits. The first star, Alpha, has an orbital speed of . The second star, Beta, has an orbital speed of. The orbital period is .A) What is the mass of the star Alpha? answer is _7.8*10^29______
B) What is the mass of the star Beta?_2.34*10^30__________
C) One of the best candidates for a black hole is found in thebinary system called A0620-0090. The two objects in thebinary system are an orange star, V616 Monocerotis, and acompact object believed to be a black hole. The orbital period ofA0620-0090 is , the mass of V616 Monocerotis is estimatedto be times the mass of the sun, and the mass of the black holeis estimated to be times the mass of the sun. Assuming that the orbits arecircular, find the radius of the orbit of the orange star.answer__1.9*10^9
D) Find the radius of the orbit of the black hole. help me with this one please
E) Find the orbital speed of the orange star. answer 440km/s
F) Find the orbital speed of the black hole.answer77km/s
Explanation / Answer
T = 2pR/V R = TV/2p Ra = Rb = Centripetal force required given by F = MV²/R Fb = Mb*Vb²/Rb Gravitational attraction provides the centripetal force on each star .. Fb = G(Ma*Mb)/(Ra+Rb)² = Mb*Vb²/Rb Mb's cancel .... ?Ma = Vb²(Ra+Rb)²/(G.Rb) c)V = 2*pi*R/T V = 2*pi*R/TRelated Questions
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