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A force acting on a particle moving in the xy plane is given by F = (2y + x²i), where is in newtons and x and y are in meters. The particle moves from the origin to a final position having coordinates x = 4.10 m and y = 4.10 m, as shown in the figure below. y (m) (x, y) 述 x (m) A (a) Calculate the work done by F on the particle as it moves along the purple path (oC). (b) Calculate the work done by F on the particle as it moves along the red path (0 BC). J (c) Is F conservative or nonconservative? O nonconservative O conservative
Transcribed Image Text:A force acting on a particle moving in the xy plane is given by F = (2y + x²i), where is in newtons and x and y are in meters. The particle moves from the origin to a final position having coordinates x = 4.10 m and y = 4.10 m, as shown in the figure below. y (m) (x, y) 述 x (m) A (a) Calculate the work done by F on the particle as it moves along the purple path (oC). (b) Calculate the work done by F on the particle as it moves along the red path (0 BC). J (c) Is F conservative or nonconservative? O nonconservative O conservative
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