Question: A particle subject to a force F (x, y) = xi + yj moves counter-clockwise along the arc of the unit circle, centered at the

A particle subject to a force F (x, y) = xi + yj moves counter-clockwise along the arc of the unit circle, centered at the origin, that begins at (1, 0) and ends at (0, -1). Note that the force is given in Newtons and the position in meters. (a) Find the work done by F . Explain the sign of your answer. (b) Is F path-independent? Explain

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