1. Suppose that C is the top-half of the circle (ra)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 [F F. Tds = Explain how do we obtain this formula. 2ac.

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1. Suppose that C is the top-half of the circle (ra)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
LF
F.Tds 2ac.
Explain how do we obtain this formula.
Transcribed Image Text:= 1. Suppose that C is the top-half of the circle (ra)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 LF F.Tds 2ac. Explain how do we obtain this formula.
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