Suppose that C is the top-half of the circle (x - a)² + y² = a², (a > 0) oriented in the counterclockwise direction. Let F be a force field that has constant magnitude c and always directed from (x, y) toward the origin. The work done by the force F on a particle that moves along C is Jo F.Tds 2ac. Explain how do we obtain this formula. =

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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Suppose that C is the top-half of the circle (x - a)² + y² = a², (a > 0) oriented in
the counterclockwise direction. Let F be a force field that has constant magnitude c
and always directed from (x, y) toward the origin. The work done by the force F on a
particle that moves along Cis
[F.Tds
Explain how do we obtain this formula.
-
2ac.
Transcribed Image Text:Suppose that C is the top-half of the circle (x - a)² + y² = a², (a > 0) oriented in the counterclockwise direction. Let F be a force field that has constant magnitude c and always directed from (x, y) toward the origin. The work done by the force F on a particle that moves along Cis [F.Tds Explain how do we obtain this formula. - 2ac.
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