If the active core of a galaxy contains a black hole of 10°M, (1 million solar masses), what will the orbital velocity be for matter orbiting the black hole at a distance of 0.33 AU? (Hint: use the formula for orbital velocity: v = GM ;; where G 6.67 × r 10-11 m³ · and Me 2.0 x 1030 kg. Note: 1 AU 1.50 x 1011 m) kg s2 a) 52 000 km/s b) 5200 km/s c) 520 km/s d) 6000 s %3D

Horizons: Exploring the Universe (MindTap Course List)
14th Edition
ISBN:9781305960961
Author:Michael A. Seeds, Dana Backman
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Chapter13: Galaxies: Normal And Active
Section: Chapter Questions
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If the active core of a galaxy contains a black hole of 106?Θ (1 million solar masses), what will the orbital velocity be for matter orbiting the black hole at a distance of 0.33 AU? (Hint: use the formula for orbital velocity: ?=√???; where ?=6.67×10−11 ?3?? ?2 and ?Θ= 2.0×1030 ??. Note: 1 ??=1.50×1011 ?)

If the active core of a galaxy contains a black hole of 10°Mo (1 million solar masses),
what will the orbital velocity be for matter orbiting the black hole at a distance of 0.33
AU? (Hint: use the formula for orbital velocity: v =
GM
where G
= 6.67 ×
m3
10-11
and Mo
2.0 x 1030 kg. Note: 1 AU = 1.50 × 1011 m)
kg s2
a) 52 000 km/s
b) 5200 km/s
c) 520 km/s
d) 6000 s
Transcribed Image Text:If the active core of a galaxy contains a black hole of 10°Mo (1 million solar masses), what will the orbital velocity be for matter orbiting the black hole at a distance of 0.33 AU? (Hint: use the formula for orbital velocity: v = GM where G = 6.67 × m3 10-11 and Mo 2.0 x 1030 kg. Note: 1 AU = 1.50 × 1011 m) kg s2 a) 52 000 km/s b) 5200 km/s c) 520 km/s d) 6000 s
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