A conservative force negatively affects an object if it pushes the object in the opposite direction of the force. This pulls the body away from the power center.
A force is said to be conservative if the work done by it does not depend on the distance traveled, but only on the starting and ending positions. If the y-component derivative of the force with respect to x is equal to the x-component derivative of the force with respect to y, then the force is a conservative force, the path always taken in the computation of potential energy or work. I get the same result.
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