Superposition of Forces: Finding Magnitude and Direction

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SUMMARY

The discussion focuses on calculating the resultant force from two point charges using Coulomb's Law. The initial calculations for the magnitudes of the forces were incorrect due to the assumption that the forces are perpendicular. The correct approach involves determining the x and y components of each force before calculating the resultant force's magnitude and direction. The final answers must be expressed with the appropriate significant figures and angles measured counterclockwise from the positive x-axis.

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  • Coulomb's Law for electrostatic forces
  • Vector decomposition into x and y components
  • Trigonometric functions for angle calculations
  • Understanding of significant figures in scientific calculations
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Homework Statement


http://imgur.com/fvNbE
Part a needs to have up to 2 significant figures.
For part b. you need to find theta or the degrees counter clockwise from +x direction.

Homework Equations


Coulombs Law:
F = 9(10^9) |q1q2|/r^2
r = distance in meters of two charges

The Attempt at a Solution


Part A.
F(Q on q1) = 9(10^9) N*m^2/C^2 * (2*10^-6 C)(4*10^-6 C) / (0.5m)^2
= 0.288 N

F(q2 on q1) = 9(10^9) N*m^2/C^2 * (2*10^-6)^2 / (0.60m)^2
= 0.1 N

|F| = sqroot( (0.288 N)^2 + (0.1 N)^2 ) = 0.304867 N *I know this is wrong because I tried to submit this answer and it was no go.*Part B.
atan(0.1 N/0.288 N) = 19.148 degress
180 - 19.148 = 160.852 degress
*For this part I figured I take 180 and subtract the degrees obtained to get the degrees counter clockwise of the +x direction.
 
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ecsx00 said:

Homework Statement


[PLAIN]http://imgur.com/fvNbE[/QUOTE]

The image is not embedded properly. Please correct that.

|F| = sqroot( (0.288 N)^2 + (0.1 N)^2 ) = 0.304867 N *I know this is wrong because I tried to submit this answer and it was no go.*

This is wrong, because the forces from two charges are not perpendicular to each other. You need to find x and y components of each force, from those, get the x and y components of the resultant force, and then compute its magnitude and direction.
 
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