A force F acts on a particle P(x, y) which moves in the xy

Chapter 13, Problem 13.81

(choose chapter or problem)

A force F acts on a particle P(x, y) which moves in the xy plane. Determine whether F is a conservative force and compute the work of F when P describes in a clockwise sense the path A, B, C, A including the quarter circle \(x^{2}+y^{2}=a^{2}\), if (a) F = kyi, (b) F = k(yi + xj).

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