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:
“A radical is a man with both feet firmly planted in the air. A conservative is a man with two perfectly good legs, who, however, has never learned to walk forward. A reactionary is a somnambulist walking backwards. A liberal is a man who uses his legs and his hands at the behest ... of his head.”
—Franklin D. Roosevelt (1882–1945)
“We stood talking for some time together of Bishop Berkeley’s ingenious sophistry to prove the non-existence of matter, and that every thing in the universe is merely ideal. I observed, that though we are satisfied his doctrine is not true, it is impossible to refute it. I shall never forget the alacrity with which Johnson answered, striking his foot with mighty force against a large stone, till he rebounded from it, “I refute it thus.””
—Samuel Johnson (1709–1784)