f an open cluster contains 350   stars and is 48 pc in diameter, what is the average distance between the stars? On average what, share of the volume of the cluster surrounds each star?

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If an open cluster contains 350   stars and is 48 pc in diameter, what is the average distance between the stars? On average what, share of the volume of the cluster surrounds each star? 

Expert Solution
Step 1

The diameter of the open cluster is d= 48 pc.

 

Number of stars contain by the open clusters n= 350

Step 2

Finding the radius of the open cluster,

Advanced Physics homework question answer, step 2, image 1

The volume of the cluster is given as,

Advanced Physics homework question answer, step 2, image 2

Now find the volume of each star as,

Advanced Physics homework question answer, step 2, image 3

This is the volume of each star.

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