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 = 280 km/s, orbital period T = 22.5 days, and approximate mass m₁ = 6.2M5, where Ms is the Sun's mass, 1.99 x 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 i 0.16 m₁ Units No units m₂

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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 = 280 km/s, orbital period T = 22.5 days, and approximate mass m₁
= 6.2M5, where Ms is the Sun's mass, 1.99 x 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 i 0.16
m₁
Units No units
m₂
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 = 280 km/s, orbital period T = 22.5 days, and approximate mass m₁ = 6.2M5, where Ms is the Sun's mass, 1.99 x 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 i 0.16 m₁ Units No units m₂
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