Solve for Gravitational Field Strength at Point A: Get Help Here!

AI Thread Summary
To find the gravitational field strength at point A in terms of G, the formula g = GM/r^2 is applied for both masses, with the results being combined through vectorial addition. The user is struggling to reconcile their calculations with the book's answer of G/4. Clarification is sought on the calculations, including the meanings of variables like X and R in the context of the problem. Additionally, there is a request for a detailed explanation of the diagram provided. The discussion emphasizes the need for clear calculations and definitions to resolve the discrepancy in the answer.
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Please check the attachment.

The question is:
Find the gravitational field strength at the point A in terms of G.

So I went about assuming we use g = GM/r^2, for both masses, and then subtract them as we're meant to find the overall using vectorial addition.

But, the answer in the back of the book is G/4. I can't seem to get this whatsover.

Could someone run through the calculations please?
Thanks a bunch!
 

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Show what you've done so far. Explain your diagram. What does X mean? What is R?
 
Both mass and the distance cannot be represented by 'X'.
 
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