Fundamental Forces: Force of one charged particle on another

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SUMMARY

The discussion focuses on calculating the force between two charged particles using Coulomb's Law, specifically the formula F = 9E9 * q1 * q2 / r^2. The participants detail their calculations, including the vector difference r2 - r1 resulting in 1.3 i hat - 47.5 j hat - 14.5 k hat, and the magnitude of this vector being 49.68. Despite correctly applying the formula, a participant consistently arrives at an incorrect force value of -36.14, indicating a potential error in the k component of their calculations.

PREREQUISITES
  • Coulomb's Law for electric force calculations
  • Vector mathematics, including vector subtraction and magnitude calculation
  • Understanding of unit vectors (i hat, j hat, k hat)
  • Basic algebra for manipulating equations
NEXT STEPS
  • Review vector subtraction and magnitude calculations in three-dimensional space
  • Study Coulomb's Law applications in electrostatics
  • Learn about common mistakes in vector calculations and how to avoid them
  • Practice similar problems involving multiple charged particles and their interactions
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Students in physics, particularly those studying electromagnetism, as well as educators and tutors looking to clarify concepts related to electric forces and vector mathematics.

JoeyBob
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Homework Statement
See attached
Relevant Equations
F=9E9qq/r^2
So first I did the vector stuff.

r2-r1= 1.3 i hat-47.5 j hat-14.5 k hat

magnitude = 49.68

magnitude squared = 2468.19

Now plugging it all in...

F=9E9*6.3E-3*2.8E-3/2468.19=64.322

y vector, -47.5/49.68=-0.956119 j hat

Multiply this by force and I get -61.499 but answer should be -36.14
 

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JoeyBob said:
Homework Statement:: See attached
Relevant Equations:: F=9E9qq/r^2

r2-r1= 1.3 i hat-47.5 j hat-14.5 k hat
Check the k component.
 
haruspex said:
Check the k component.
Thanks. The werid thing is that this I did this question a month ago and made the same exact mistake (my wrong answer is the same as the new wrong answer I just got).
 

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