Point mass gravitational problem

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Homework Help Overview

The problem involves determining the point on the x-axis where the gravitational field due to two point masses is zero. The first mass is located at the origin, and the second mass is positioned at a distance along the x-axis.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to set up an equation based on the condition that the gravitational fields from both masses sum to zero. They express concern about their quadratic equation yielding no solution and seek guidance on how to correct their approach. Other participants question the meaning of g=0 and the nature of the gravitational field.

Discussion Status

Contextual Notes

Participants are examining the definitions and properties of gravitational fields, including whether it is a vector field, which may influence their understanding of the problem.

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Homework Statement


1. A point mass m1= 2kg is at the origin and a second point mass m2=4kg is on the x-axis at x=6m. Find the point on the x-axis for which g=0


Homework Equations



g= -Gm/r^2

The Attempt at a Solution



So g=0 means that g1+g2=0. I set up that 2(r2)^2= -4(r1)^2 and made r2=x-6 and r1=x.

Thus, I have a quadratic equation as x^2 -4x+12=0 which has no solution. I am wrong on this question. How should I fix this ??
 
Physics news on Phys.org
What would g=0 mean?
 
gravitational field.
 
Is the gravitational field a vector field?
 

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