Electric Potential Energy Among Multiple Charges kinda a

[seto6]

Electric Potential Energy Among Multiple Charges kinda aurgent

1. Homework Statement

Four point charges, fixed in place, form a square with side length d. (See image)

http://i23.photobucket.com/albums/b354/h4llw4x0r/notSoFast.jpg

The particle with charge q is now released and given a quick push; as a result, it acquires speed v. Eventually, this particle ends up at the center of the original square and is momentarily at rest. If the mass of this particle is m, what was its initial speed v?
Express your answer in terms of q, d, m, and appropriate constants. Use k instead of 1/4πe (where e = epsilon). The numeric coefficient should be a decimal with three significant figures.

2. Homework Equations

- Electric Potential Energy equation: U = k((Q1*Q2)/r)
- Relative Kinematics Equations

The Attempt at a Solution

Ui+Ki=Uf+Kf

Kf=0
you get following
Ki=-Ui+Uf

getting the potential for each charge
solving for v
v==[((2kq^2)/dm)((9/(.5^.4))-5-((5/(2^.5))]^.5 then simplifying
i got v=[((2kq^2)/dm)(4.192)]^.5
is this correct

 

[ehild]

Show your work, please.

ehild

 

[seto6]

i got it

 

[seto6]

v==[((2kq^2)/dm)((9/(.5^.4))-5-((5/(2^.5))]^.5 then simplifying
i should not get this v=[((2kq^2)/dm)(4.192)]^.5
i should get the following (6.24kq62/dm)^.5

 

[paranormal]

Based on your attempt at a solution, it seems like you have a good understanding of the concepts involved in this problem. However, in order to provide a more accurate response, I would need to see your work and the specific values you used for each variable. Also, it would be helpful to know what specific units you used for each variable, as this could affect your final answer. Additionally, please clarify what you mean by "simplifying" in your solution process. Overall, your approach seems reasonable and you appear to have used the correct equations. If you could provide more details and show your work, I would be happy to review and provide feedback on your solution.