A force acting on a particle moving in the xy plane is given by F - (2y + x), 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 = 6.00 m and y = 6.00 m, as shown in the figure below.
y (m)
И
* (m)
©
(a) Calculate the work done by F on the particle as it moves along the purple path (OMC).
(b) Calculate the work done by F on the particle as it moves along the red path (oC).
(c) Calculate the work done by F on the particle as it moves along the blue path (oC).
(d) Is F conservative or nonconservative?