Work Done by a Variable Force over a Curved Path An object moves along a parabolic path y (0.5 m from the origin A ( 0, 0) to the point B(2 m, 2 m) under the action of a force F (5 N/m)y i + (10 N/m)xj (Figure 7.6). Calculate the work done. a (2. 2) Fx.y) ), (m) (0, 0) Figure 7.6 The parabolic path of a particle acted on by a given force.