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:
“The Japanese are, to the highest degree, both aggressive and unaggressive, both militaristic and aesthetic, both insolent and polite, rigid and adaptable, submissive and resentful of being pushed around, loyal and treacherous, brave and timid, conservative and hospitable to new ways.”
—Ruth Benedict (1887–1948)
“Taking men into the union is just the kindergarten of their education and every force is against their further education. Men who live up those lonely creeks have only the mine owners’ Y.M.C.As, the mine owners’ preachers and teachers, the mine owners’ doctors and newspapers to look to for their ideas. So they don’t get many.”
—Mother Jones (1830–1930)