A force acting on a particle moving in the xy plane is given by F= (2y + x2), where F is in newtons and x and y are in meters. The particle moves from the origin to a final position having coordinates x = 4.60 m and y = 4.60 m, as shown in the figure below. y (m) x (m) O (a) Calculate the work done by F on the particle as it moves along the purple path (oⒸ). (b) Calculate the work done by F on the particle as it moves along the red path (ODO). (c) Calculate the work done by F on the particle as it moves along the blue path (oⒸ).
A force acting on a particle moving in the xy plane is given by F= (2y + x2), where F is in newtons and x and y are in meters. The particle moves from the origin to a final position having coordinates x = 4.60 m and y = 4.60 m, as shown in the figure below. y (m) x (m) O (a) Calculate the work done by F on the particle as it moves along the purple path (oⒸ). (b) Calculate the work done by F on the particle as it moves along the red path (ODO). (c) Calculate the work done by F on the particle as it moves along the blue path (oⒸ).
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Transcribed Image Text:A force acting on a particle moving in the xy plane is given by F = (2y + x2), where F is in newtons and x and y are in meters. The
particle moves from the origin to a final position having coordinates x = 4.60 m and y 4.60 m, as shown in the figure below.
y (m)
(B)
И
(a) Calculate the work done by F on the particle as it moves along the purple path (oⒸ).
(x, y)
-x (m)
(b) Calculate the work done by F on the particle as it moves along the red path (OⓇⒸ).
(c) Calculate the work done by F on the particle as it moves along the blue path (00).
(d) Is F conservative or nonconservative?
O nonconservative
O conservative
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