Force acting on a particle moving in the xy plane is given by = (2yi + x^2 j ), where is in newtons and x and y are in meters. The particle moves from the origin to a final position having coordinates x = 4.40 m and y = 4.40 m, as in the figure below.
(a) Calculate the work done by on the particle as it moves along the purple path (OAC).
(b) Calculate the work done by on the particle as it moves along the red path (OBC).
(c) Calculate the work done by on the particle as it moves along the blue path (OC).