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Help on a ratio question

http://filestore.aqa.org.uk/subjects/AQA-PHYA4-1-QP-JUN13.PDF

Question 13. I don't understand at all how to get it.

The answer is B.

Thanks
Original post by GB1996
http://filestore.aqa.org.uk/subjects/AQA-PHYA4-1-QP-JUN13.PDF

Question 13. I don't understand at all how to get it.

The answer is B.

Thanks


Let the distance from the star of mass 4M be (d - y). Then at the point where there is 0 potential, the gravitational field strength of the smaller star will be equal to the gravitational field strength of the larger star. So use g = GM/r^2 for each star, set them equal to each other and see if you can manipulate them to get y/d.

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