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

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SUMMARY

The discussion focuses on calculating the gravitational field strength at point A using the formula g = GM/r^2 for two masses. The user encounters difficulty reconciling their calculations with the book's answer of G/4. The conversation emphasizes the need for clarity in defining variables such as 'X' and 'R' in the context of the gravitational field strength calculation. Participants are encouraged to share their calculations and diagrams to facilitate understanding.

PREREQUISITES
  • Understanding of Newton's Law of Universal Gravitation
  • Familiarity with gravitational field strength calculations
  • Knowledge of vector addition in physics
  • Basic skills in diagram interpretation for physics problems
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  • Review the derivation of gravitational field strength using g = GM/r^2
  • Study vector addition techniques in gravitational contexts
  • Learn about the implications of variable definitions in physics equations
  • Explore examples of gravitational field strength calculations involving multiple masses
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Students studying physics, educators teaching gravitational concepts, and anyone seeking to understand gravitational field strength calculations involving multiple masses.

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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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