Gravitational field strength between masses

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SUMMARY

The discussion focuses on calculating the gravitational field strength (g) at point P due to two identical masses located at points X and Y. The relevant equation used is g = Gm/r², where G is the gravitational constant, m is the mass, and r is the distance. The user incorrectly assumes the distances and concludes that the resultant gravitational field strength is approximately 1/2. The correction suggests that the user should carefully rewrite the equation to identify the error in their calculations.

PREREQUISITES
  • Understanding of gravitational field strength and the equation g = Gm/r²
  • Familiarity with the concept of distance in gravitational interactions
  • Basic algebra skills for manipulating equations
  • Knowledge of gravitational constant (G) and its significance
NEXT STEPS
  • Review the derivation of gravitational field strength using g = Gm/r²
  • Study the effects of distance on gravitational force and field strength
  • Learn about vector addition of gravitational fields from multiple masses
  • Explore common mistakes in gravitational calculations and how to avoid them
USEFUL FOR

Students studying physics, particularly those focusing on gravitational forces, educators teaching gravitational concepts, and anyone looking to improve their problem-solving skills in gravitational field calculations.

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Homework Statement




A mass at a point X gives rise to a gravitational field strength g at point P as shown. An identical mass is placed at point Y

x ________ p ______________________ y

The resultant g f s is now?

Homework Equations



g = Gm/r2

The Attempt at a Solution



I know the answer is between g and zero but don't know if my method is correct?

I'm assuming distance x to p is r and p to r is approximately 2r

Am I right that g = Gm/r2 - Gm/2r2 so g is approximately 1/2?

 
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calculator20 said:
I'm assuming distance x to p is r and p to r [correction: y] is approximately 2r

Am I right that g = Gm/r2 - Gm/2r2 so g is approximately 1/2?

Write out Gm/2r2 more carefully (using parentheses) and you might spot your error.
 

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