It can be shown that if an object orbiting a star of mass M in a circular orbit of radius R has speed v, then M G Suppose a star orbits the center of the galaxy it is contained in with an orbit that is nearly circular with radius R = 2.5 x 1018 and velocity v = 230 km/s. Use the result above to estimate the mass of the portion of the galaxy inside the star's orbit (place all of this mass at the center of the orbit). Mass =

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It can be shown that if an object orbiting a star of mass M in a circular orbit of radius R has speed v, then
Rv?
M
Suppose a star orbits the center of the galaxy it is contained in with an orbit that is nearly circular with radius
18
R = 2.5 x 10 and velocity v =
230 km/s. Use the result above to estimate the mass of the portion of the galaxy
inside the star's orbit (place all of this mass at the center of the orbit).
Mass =
Transcribed Image Text:It can be shown that if an object orbiting a star of mass M in a circular orbit of radius R has speed v, then Rv? M Suppose a star orbits the center of the galaxy it is contained in with an orbit that is nearly circular with radius 18 R = 2.5 x 10 and velocity v = 230 km/s. Use the result above to estimate the mass of the portion of the galaxy inside the star's orbit (place all of this mass at the center of the orbit). Mass =
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