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

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Chapter1: Units, Trigonometry. And Vectors
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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 xy-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-4.70 m, R = 0.16 m, Q-8.65x10 C, q-6.37x10 C
m-1.87x105 kg. x = 0.78 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
Transcribed Image Text: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 xy-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-4.70 m, R = 0.16 m, Q-8.65x10 C, q-6.37x10 C m-1.87x105 kg. x = 0.78 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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