A heavy box is kept on a smooth inclined plane and is pushed up by a force F acting parallel to the plane. Does the work done by the force F as the box goes from A to B depend on how fast the box was moving at A and B? Does the work by the force of gravity depend on this?
(i) No. As the surface is smooth and the friction is zero, work done by the force will only depend on the force and the displacement.
(ii) No, because gravitational force is a conservative force and work done by a conservative force will depend only on the force and the displacement