The Large Magellanic Cloud is a small galaxy that orbits the Milky Way. It is currently orbiting the Milky Way at a distance of roughly 160000 light-years from the galactic center at a velocity of about 300 km/s. Use these values in the orbital velocity law to get an estimate of the Milky Way's mass within 160000 light-years from the center.
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Step 1
We are given the distance (r) from the center of the Milky Way to the Large Magellanic Cloud, which is 160,000 light-years. We need to convert this distance to meters. We know that 1 light-year is approximately 9.461 x 10^15 meters. So, the distance in meters Show more…
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The Large Magellanic Cloud is a small galaxy that orbits the Milky Way. It is currently orbiting the Milky Way at a distance of roughly 160000 light-years from the galactic center at a velocity of about 300 km/s. Use these values in the orbital velocity law to get an estimate of the Milky Way's mass within 160000 light-years from the center. (The value you obtain is a fairly rough estimate because the orbit of the Large Magellanic Cloud is not circular.) Express value using one significant figure
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Mass of the Milky Way The sun revolves around the center of mass of the Milky Way galaxy in an orbit that is approximately circular, of radius $a \approx 2.8 \times 10^{17} \mathrm{km}$ and velocity $v \approx 250 \mathrm{km} / \mathrm{s}$ . Use the result of Exercise 2 to estimate the mass of the portion of the Milky Way inside the sun's orbit (place all of this mass at the center of the orbit).
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A star in the Milky Way that is about 50 percent of the way out from the center of the galaxy has an orbital distance of 25 thousand light years and an orbital velocity of 234 km/s. What is the mass of the galaxy inside this star's orbital radius? Enter in solar masses.
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