The image shown is a representation of our galaxy, the Milky Way.
It can be shown that the velocity v of a star a distance r from the centre of the galaxy is given by the expression
where M is the mass of the galaxy contained in a sphere of radius r.
Explain how the expression gives the variation of v with r shown in the graph.
(3)
Suggest why the ‘observed’ velocity varies as shown.
(2)
The ultimate fate of the universe may be a closed universe, but astronomers cannot be sure what their current models predict.
Explain why astronomers cannot be sure that the universe is closed.
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