(Part a) [10 points] A particle is moving under the influence of a force F that is given by F = 4 + 2x . What is the work W done by F if the particle moves from origin to the point P at (1.0 m,1.0 m) along the path number I, which is y = x as shown in the figure (shown in blue)? What is the work W done by F if the particle is move back to origin from point P by following path number II (shown in red)? Is this force F conservative or non- conservative, explain why? II (Part b) [10 points] A particle is moving under the influence of a force F that is given by F = 8 xy + 6y . What is the work done by F along the path of y same calculation for the path y = 0.5 x2. Discuss about this force is conservative or non-conservative, explain why? = x from the origin to the point (2.0 m , 2.0 m) ? Do the