A conservative force is a force with the property that the work done in moving a particle between two points is independent of the path taken. Equivalently, if a particle travels in a closed loop, the net work done (the sum of the force acting along the path multiplied by the distance travelled) by a conservative force is zero.
A conservative force is dependent only on the position of the object. If a force is conservative, it is possible to assign a numerical value for the potential at any point. When an object moves from one location to another, the force changes the potential energy of the object by an amount that does not depend on the path taken. If the force is not conservative, then defining a scalar potential is not possible, because taking different paths would lead to conflicting potential differences between the start and end points.
Gravity is an example of a conservative force, while friction is an example of a non-conservative force.
Read more about Conservative Force: Informal Definition, Path Independence, Mathematical Description, Nonconservative Forces
Famous quotes containing the words conservative and/or force:
“Almost always tradition is nothing but a record and a machine-made imitation of the habits that our ancestors created. The average conservative is a slave to the most incidental and trivial part of his forefathers’ glory—to the archaic formula which happened to express their genius or the eighteenth-century contrivance by which for a time it was served.”
—Walter Lippmann (1889–1974)
“If we wish to know the force of human genius, we should read Shakespeare. If we wish to see the insignificance of human learning, we may study his commentators.”
—William Hazlitt (1778–1830)