Question: 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

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 the path ABCA knowing that

(a) F = (kx + y)i + (kx + y)j,

(b) F = (kx + y)i + (x +ky)j.

C B X

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