The figure below shows four small spheres, each with a positive charge, at the corners of a square. The length of each side of the square is a. The sphere at top-right has a charge of q; the one at lower-left has a charge of 5.0q; the other two each have a charge of 5.09. (Assume that the +x-axis is to the right and the +y-axis is up along the page.) 5.0q 다. a a 5.0q 5.0q a (a) What is the magnitude of the force on the sphere with charge q? Express your answer in terms of ker 9, and a in symbolic form. F-10.6 x What is the magnitude of the force due to each charge? (Be careful with distances.) What is the direction of each force? Using trigonometry, can you find the x- and y-components of each force? After finding the x- and y-components of the net force, how can you use them to find the magnitude of the net force? (b) What is the direction of the force on the sphere with charge q? (Enter your answer in degrees counterclockwise from the +x-axis.)

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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The figure below shows four small spheres, each with a positive charge, at the corners of a square. The length of each side of the square is a. The sphere at top-right has a charge of q; the one at lower-left has a charge of 5.0q; the other two each have a charge of 5.09.
(Assume that the +x-axis is to the right and the +y-axis is up along the page.)
a
5.0q
O
a
a
5.0q
a
9
5.09
(a) What is the magnitude of the force on the sphere with charge q? Express your answer in terms of k q, and a in symbolic form.
'e'
F = 10.6
X
What is the magnitude of the force due to each charge? (Be careful with distances.) What is the direction of each force? Using trigonometry, can you find the x- and y-components of each force? After finding the x- and y-components of the net force, how can you use
them to find the magnitude of the net force?
(b) What is the direction of the force on the sphere with charge q? (Enter your answer in degrees counterclockwise from the +x-axis.)
45
° counterclockwise from the +x-axis
Transcribed Image Text:The figure below shows four small spheres, each with a positive charge, at the corners of a square. The length of each side of the square is a. The sphere at top-right has a charge of q; the one at lower-left has a charge of 5.0q; the other two each have a charge of 5.09. (Assume that the +x-axis is to the right and the +y-axis is up along the page.) a 5.0q O a a 5.0q a 9 5.09 (a) What is the magnitude of the force on the sphere with charge q? Express your answer in terms of k q, and a in symbolic form. 'e' F = 10.6 X What is the magnitude of the force due to each charge? (Be careful with distances.) What is the direction of each force? Using trigonometry, can you find the x- and y-components of each force? After finding the x- and y-components of the net force, how can you use them to find the magnitude of the net force? (b) What is the direction of the force on the sphere with charge q? (Enter your answer in degrees counterclockwise from the +x-axis.) 45 ° counterclockwise from the +x-axis
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