What causes a force field to be "non-conservative?" (2 answers) Closed 5 years ago. How can I check if a given force is conservative or not? Is there a mathematical way of doing the same?

Feb 11, 2025 · $$\vec {F} = -\nabla\ U$$ I am curious if this definition was originally used to describe a conservative force in relation to potential energy or the other way around. Where …

Feb 14, 2020 · A force is conservative if the work done by it is path independent. Now coming to your doubt, according to the work-energy theorem, $$ \text {work (done by all the forces} = …

A conservative force, on the other hand, cancels itself back out as you go on a closed loop. Think of a curl-ful field as a whirlpool--you could imagine going around and around and building up …

Dec 20, 2020 · You can also show that a central force with spherical symmetry is irrotational calculating the curl of the force but in polar coordinates. Remember that the fact that the curl of …

Aug 1, 2016 · As for your last question, you can imagine that you apply a force which is just "slightly" larger than the conservative force. Then the object will move very slowly. When it is …

The concept of conservative versus nonconservative forces is only of interest when the force is a field of force, i.e., a force whose value depends only on the position of the object being acted on.

Aug 5, 2021 · A constant force is an example of a conservative force (weight is also a constant force). When you pull with your hand, what are the odds that you are going to be able to …

May 19, 2010 · The work done by a conservative force in a closed path is zero because the object's kinetic energy remains unchanged when it returns to its initial position. This is …

Jul 24, 2021 · I have asked a recent question about how spring force is conservative and in that I learnt that for a force to be conservative the work done by the force should be path …