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assuming that the masses are equal and hang from strings of length L. They are are separated by a distance r because of their charge. Show that the charge on each mass is:

q=(2πε0mgr^3/sqrt(L^2-r^2/4))1/2

variables:

Fw= force from weight

Fc=Coloumbic force

m=mass

q= charge on each mass

ε0=epsilon naught constant

g= I'm guessing this is acceleration due to gravity?

r= the distances the masses are separated

L=length of string

Figure of problem for clarity: http://i.imgur.com/vn7orVd.jpg

Equation formatted more clearly: http://i.imgur.com/8xhM8kn.jpg

So I just need to know how is this equation found from this figure?

I'm studying for my test but this problem has me stumped.

Here is the picture: http://imgur.com/TvmyZhz

The figure shows an overhead view of two particles sliding at constant velocity over a frictionless surface. The particles have the same mass and the same initial speed v = 8.00 m/s, and they collide where their paths intersect. An x axis is arranged to bisect the angle between their incoming paths, so that θ = 35.0°. The region to the right of the collision is divided into four lettered sections by the x axis and four numbered dashed lines. In what region or along what line does the upper particle travel if the collision is (a) completely inelastic, (b) elastic, and (c) inelastic? If the direction is along the x axis, or the dashed line type "x" or number of the line. What is the final speed of the upper particle if the collision is (d) completely inelastic and (e) elastic?