Charged particles - magnitude of force

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Homework Help Overview

The discussion revolves around calculating the magnitude of the force on a charged particle, specifically a -1.2 µC charge, placed near other charges. The problem involves applying Coulomb's law to determine the forces exerted by multiple charges and summing them to find the net force.

Discussion Character

  • Mathematical reasoning, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the forces using Coulomb's law but questions the correctness of their final answer. Some participants provide feedback on the calculations and suggest a different approach to summing the forces.

Discussion Status

The discussion is active, with participants engaging in clarifying the calculations and providing alternative interpretations of how to sum the forces. There is acknowledgment of a mistake in the original poster's approach, leading to a corrected understanding of the net force calculation.

Contextual Notes

There is a time constraint mentioned by the original poster, indicating a need for prompt assistance. The problem setup involves specific distances and charge values that are critical to the calculations being discussed.

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What is the magnitude of the force on a
-1.2 muC charge placed at a point 1.6 cm to the left of the
middle charge?? Answer in units of N.

This is what I did:

I used Fx = k*|Q|*(qx/r^2)

Q= 1.2*E-6

I plugged in 8.6*E-6 into the above equation (keep in mind i used 3.7cm-1.6cm =2.1 cm --> .021m) and got F1=210.320898

I plugged in 4*E-6 into the above equation (i used .016m) and got F2=168.5165625

I plugged in -1.2*E-6 into the above equation (i used .016+.032=.048m) and got F3 = -5.61721875

Then for F final = -F1 + F2 - F3 = -36.187

Since it asks for magnitude I plugged in 36.187. It came up as wrong... where did i go wrong??
 
Last edited by a moderator:
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It would be great if someone can offer any help within the next 3 hours.
 
According to the way you've defined F1, F2 and F3, your net force should be

Fnet = -F1 + F2 + F3

which comes out as 47 something Newtons.
 
jdstokes said:
According to the way you've defined F1, F2 and F3, your net force should be

Fnet = -F1 + F2 + F3

which comes out as 47 something Newtons.

Wow, that was it. Thanks A LOT! People like you make this site awesome. Thanks again. :approve:
 

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