Our Solar System is about 8.3 kpc from the centre of our galaxy. Using Newton's Universal Gravitation Law and Kepler's Third Law, calculate the approximate mass of our Milky Way if we know that the orbital velocity of the Sun around the centre of the galaxy is 225 km/s. (Hint: Use the formula for orbital velocity: v = GM and problem , r Note: G is the Universal Gravitation Constant, G = 6.67 × 10-11 m3 1 kpc kg s2' 3.1 x 1016 m. Also, pay attention to units!!! – i.e. orbital 1000 рс апd 1 рс %3D velocity is in km/s and the universal gravitation constant is in m3 kgsz a) 8.7 x 1035 kg 1kg b) 2.0 x 1041 c) 2.0 x 1030 kg d) 6.0 x 1024 kg

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Chapter1: Units, Trigonometry. And Vectors
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Our Solar System is about 8.3 kpc from the centre of our galaxy. Using Newton's
Universal Gravitation Law and Kepler's Third Law, calculate the approximate mass of
our Milky Way if we know that the orbital velocity of the Sun around the centre of the
galaxy is 225 km/s. (Hint: Use the formula for orbital velocity: v =
GM
-and problem ,
r
-11
m3
Note: G is the Universal Gravitation Constant, G
6.67 × 10
kg s2'
1 kpс
1000 рс аnd 1 рс
3.1 x 1016 m. Also, pay attention to units!!! – i.e. orbital
m3
velocity is in km/s and the universal gravitation constant is in
kgs2
а) 8.7 х 1035
b) 2.0 x 1041kg
c) 2.0 × 1030
d) 6.0 × 1024 kg
kg
kg
Transcribed Image Text:Our Solar System is about 8.3 kpc from the centre of our galaxy. Using Newton's Universal Gravitation Law and Kepler's Third Law, calculate the approximate mass of our Milky Way if we know that the orbital velocity of the Sun around the centre of the galaxy is 225 km/s. (Hint: Use the formula for orbital velocity: v = GM -and problem , r -11 m3 Note: G is the Universal Gravitation Constant, G 6.67 × 10 kg s2' 1 kpс 1000 рс аnd 1 рс 3.1 x 1016 m. Also, pay attention to units!!! – i.e. orbital m3 velocity is in km/s and the universal gravitation constant is in kgs2 а) 8.7 х 1035 b) 2.0 x 1041kg c) 2.0 × 1030 d) 6.0 × 1024 kg kg kg
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