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- Let a and c be positive constants. Let C be the upper semicircle (x − a)² + y² = a², y ≥ 0, from (2a, 0) to (0,0). The force field F satisfies the following: for any point (x, y), F(x, y) is the vector of length c directed from (x, y) to (0,0). Calculate the work done by F in moving an object along the semicircle. (x, y) F (0,0) (2a, 0)

- Let a and c be positive constants. Let C be the upper semicircle (x − a)² + y² = a², y ≥ 0, from (2a, 0) to (0,0). The force field F satisfies the following: for any point (x, y), F(x, y) is the vector of length c directed from (x, y) to (0,0). Calculate the work done by F in moving an object along the semicircle. (x, y) F (0,0) (2a, 0)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 32E
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- Let a and c be positive constants. Let C be the upper semicircle (x − a)² + y² = a², y ≥ 0, from (2a, 0) to (0,0). The force field F satisfies the following: for any point (x, y), F(x, y) is the vector of length c directed from (x, y) to (0,0). Calculate the work done by F in moving an object along the semicircle. (x, y) F (0,0) (2a, 0)
Transcribed Image Text:- Let a and c be positive constants. Let C be the upper semicircle (x − a)² + y² = a², y ≥ 0, from (2a, 0) to (0,0). The force field F satisfies the following: for any point (x, y), F(x, y) is the vector of length c directed from (x, y) to (0,0). Calculate the work done by F in moving an object along the semicircle. (x, y) F (0,0) (2a, 0)
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