Electrostatic Potential of 4 charged spheres on corners of a square

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Homework Statement


Four idential charged spheres are located at the corners of a square with side length 2a. The spheres are much smaller than the size of the square (r<<a) and each sphere has a mass m and carries the same charge -Q.

a) What is the total electrostatic potential energy of the combined 4-sphere system when arranged as described?
b) How much kinetic energy does a sphere gain by moving very far away from the other three?
c) What is the speed of a sphere moved very far away?


Homework Equations


Utot=kq1q2/r
KEf=Ui
KE=1/2mv^2


The Attempt at a Solution


For part a, I think i got the right answer: Utot=k(4root2q^2+2q^2)/root2r

b)KE=1/2(4m)v^2 and thats it because thats all we know

c) I used Ui=Kf
so k(4root2q^2+2q^2)/root2r=1/2(4m)v^2

and solve for v to get

v=squareroot(k*2q^2/mr+q^2/root2mr)

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
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im just wanting to know if im right
 

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