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Question 1
In the figure, two identical spheres of radius R are set up a distance d away from each other (d is the distance from the center of
one to the center of the other). One sphere has charge +Q and is centered at x -0. The other sphere has a charge-Q and is
centered at x = d. You are using this set-up to accelerate a small particle with charge q and mass m. The particle starts at a position
x, and ends up at a position x-d-x
(The distance from the positive sphere to x, is equal to the distance from x, to the negative sphere.)
The values in this problem are:
d-5.71 m, R-0.19 m, Q-8.53x106 C. q-9.27x10 C
m-1.47x105 kg. x₁-0.54 m
If the small charge starts at rest, what is the final speed of the charge when it reaches x,?
Give your answer in m/s to at least three digits, to avoid being counted incorrect due to rounding.
Note: You can assume that the spheres are far enough apart that the charge on the sphere is uniformly distributed on their
surfaces.
R,+Q
R₁-Q
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