What is the total force exerted by two charges on a point charge at the origin?

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SUMMARY

The total force exerted by two point charges, q1 and q2, on a negative point charge, q3, located at the origin can be calculated using Coulomb's Law. The forces from q1 and q2 must be evaluated separately, considering their positions on the x-axis. The positive force from q1 (to the right) and the negative force from q2 (to the left) must be combined to find the net force. The correct approach involves calculating the electric field at the origin from both charges and then applying the formula F = q3 * E.

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Homework Statement



Two point charges are placed on the x-axis as follows: one positive charge, q1, is located to the right of the origin at x= x1, and a second positive charge, q2, is located to the left of the origin at x= x2.

What is the total force (magnitude and direction) exerted by these two charges on a negative point charge, q3, that is placed at the origin? Use \epsilon_{0} for the permittivity of free space. Take positive forces to be along the positive x-axis. Do not use unit vectors.

Homework Equations



Coulomb's Law: F = \frac{1}{4\pi\epsilon_{0}}\frac{\left|q_{1}q_{2}\right|}{r^{2}}

The Attempt at a Solution



http://img5.imageshack.us/img5/3753/equationu.jpg

MasteringPhysics keeps giving me a "Check your signs error". Yet, as far as I can tell, I should be subtracting the force which is going left / the negative direction (ie, q2) from the force going to the right (ie, q1).

Any hints?
 

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My apologizes if the "attempt at a solution" section appeared blank for anyone -- I have changed the link so that users who are not logged in can now see the link.
 
u can find the electric field at the origin from the charge q1 and q2 and then u can find the force using F= q3 * E .. try this one, I hope it will work
 

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