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 Conservative government is an organised hypocrisy.”
—Benjamin Disraeli (1804–1881)
“He is asleep. He knows no longer the fatigue of the work of deciding, the work to finish. He sleeps, he has no longer to strain, to force himself, to require of himself that which he cannot do. He no longer bears the cross of that interior life which proscribes rest, distraction, weaknesshe sleeps and thinks no longer, he has no more duties or chores, no, no, and I, old and tired, oh! I envy that he sleeps and will soon die.”
—Albert Camus (1913–1960)