Hunting a black hole. Observations of the light from a certain star indicate that it is part of a binary (two-star) system. This visible star has orbital speed v = 270 km/s, orbital period T = 23.2 days, and approximate mass m₁ = 6.5Ms, where Ms is the Sun's mass, 1.99 × 1030 kg. Assume that the visible star and its companion star, which is dark and unseen, are both in circular orbits (see the figure). Find the ratio of the approximate mass m² of the dark star to Ms. Number Units M2 mi

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter39: Relativity
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Hunting a black hole. Observations of the light from a certain star indicate that it is part of a binary (two-star) system. This visible star
has orbital speed v = 270 km/s, orbital period T = 23.2 days, and approximate mass m₁ = 6.5Ms, where Ms is the Sun's mass, 1.99 × 1030
kg. Assume that the visible star and its companion star, which is dark and unseen, are both in circular orbits (see the figure). Find the
ratio of the approximate mass m² of the dark star to Ms.
Number
Units
M2
mi
Transcribed Image Text:Hunting a black hole. Observations of the light from a certain star indicate that it is part of a binary (two-star) system. This visible star has orbital speed v = 270 km/s, orbital period T = 23.2 days, and approximate mass m₁ = 6.5Ms, where Ms is the Sun's mass, 1.99 × 1030 kg. Assume that the visible star and its companion star, which is dark and unseen, are both in circular orbits (see the figure). Find the ratio of the approximate mass m² of the dark star to Ms. Number Units M2 mi
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