An object moving in the xy-plane is subjected to the force Fu = (2xy î + 3y ĵ) N, where x and y are in m.
a. The particle moves from the origin to the point with coordinates (a, b) by moving first along the x-axis to (a, 0), then parallel to the y-axis. How much work does the force do?
b. The particle moves from the origin to the point with coordinates (a, b) by moving first along the y-axis to (0, b), then parallel to the x-axis. How much work does the force do?
c. Is this a conservative force?