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Mass

In physics, mass (from Greek μᾶζα "barley cake, lump (of dough)"), more specifically inertial mass, can be defined as a quantitative measure of an object's resistance to the change of its speed. In addition to this, gravitational mass can be described as a measure of magnitude of the gravitational force which is

  1. exerted by an object (active gravitational mass), or
  2. experienced by an object (passive gravitational force)

when interacting with a second object. The SI unit of mass is the kilogram (kg).

In everyday usage, mass is often referred to as weight, the units of which are often taken to be kilograms (for instance, a person may state that their weight is 75 kg). In scientific use, however, the term weight refers to a different, yet related, property of matter. Weight is the gravitational force acting on a given body—which differs depending on the gravitational pull of the opposing body (e.g. a person's weight on Earth vs on the Moon) — while mass is an intrinsic property of that body that never changes. In other words, an object's weight depends on its environment, while its mass does not. On the surface of the Earth, an object with a mass of 50 kilograms weighs 491 Newtons; on the surface of the Moon, the same object still has a mass of 50 kilograms but weighs only 81.5 Newtons. Restated in mathematical terms, on the surface of the Earth, the weight W of an object is related to its mass m by W = mg, where g is the Earth's gravitational field strength, equal to about 9.81 m/s.

The inertial mass of an object determines its acceleration in the presence of an applied force. According to Newton's second law of motion, if a body of fixed mass M is subjected to a force F, its acceleration α is given by F/M. A body's mass also determines the degree to which it generates or is affected by a gravitational field. If a first body of mass MA is placed at a distance r from a second body of mass MB, each body experiences an attractive force FG whose magnitude is FG = GMAMB/r, where G is the universal constant of gravitation, equal to 6.67×10 N·m·kg. This is sometimes referred to as gravitational mass. Repeated experiments since the 17th century have demonstrated that inertial and gravitational mass are equivalent; since 1915, this observation has been entailed a priori in the equivalence principle of general relativity.

Special relativity shows that rest mass (or invariant mass) and rest energy are essentially equivalent, via the well-known relationship (E = mc). This same equation also connects relativistic mass and "relativistic energy" (total system energy). The latter two "relativistic" mass and energy are concepts that are related to their "rest" counterparts, but they do not have the same value as their rest counterparts in systems where there is a net momentum. In order to deduce any of these four quantities from any of the others, in any system which has a net momentum, an equation that takes momentum into account is needed. Mass (so long as the type and definition of mass is agreed upon) is a conserved quantity over time. From the viewpoint of any single unaccelerated observer, mass can neither be created or destroyed, and special relativity does not change this understanding. All unaccelerated observers agree on the amount of invariant mass in closed systems at all times, and although different observers may not agree with each other on how much relativistic mass is present in any such system, all agree that the amount does not change over time.

Macroscopically, mass is associated with matter— although matter, unlike mass, is poorly defined in science. On the sub-atomic scale, not only fermions, the particles often associated with matter, but also some bosons, the particles that act as force carriers, have rest mass. Another problem for easy definition is that much of the rest mass of ordinary matter derives from the invariant mass contributed to matter by particles and kinetic energies which have no rest mass themselves (only 1% of the rest mass of matter is accounted for by the rest mass of its fermionic quarks and electrons). From a fundamental physics perspective, mass is the number describing under which the representation of the little group of the Poincaré group a particle transforms. In the Standard Model of particle physics, this symmetry is described as arising as a consequence of a coupling of particles with rest mass to a postulated additional field, known as the Higgs field.

The total mass of the observable universe is estimated at between 10 kg and 10 kg, corresponding to the rest mass of between 10 and 10 protons.

From Wikipedia under the GNU Free Documentation License
Wed May 2 02:20:27 2012

Noun

mass (countable and uncountable; plural masses)

  1. A quantity of matter cohering together so as to make one body, or an aggregation of particles or things which collectively make one body or quantity, usually of considerable size; as, a mass of ore, metal, sand, or water.
    • 1718 [1704], Isaac Newton, Opticks, Second Edition,
      And if it were not for theſe Principles the Bodies of the Earth, Planets, Comets, Sun, and all things in them would grow cold and freeze, and become inactive Maſſes ; […] .
    • 1821, George Buchanan (Latin original Rerum Scoticarum Historia, 1582), translator not named, The History of Scotland, from the Earliest Accounts of that Nation, to the Reign of King James VI, Volume 1, page 133,
      […] and because a deep mass of continual sea is slower stirred to rage.
  2. A large quantity; a sum.
    • 1829, Sir Walter Raleigh, The Works of Sir Walter Ralegh, Kt, Volume VIII,
      […] he hath discovered to me the way to five or six of the richest mines which the Spaniard hath, and whence all the mass of gold that comes into Spain in effect is drawn.
    • 1869, Alexander George Richey, Lectures on the History of Ireland: Down to A. D. 1534, page 204,
      For though he had spent a huge mass of treasure in transporting his army, […] .
  3. Bulk; magnitude; body; size.
    • c.1599-1601, William Shakespeare, The Tragedy of Hamlet, Prince of Denmark, Act 4, Scene 4,
      Witness this army of such mass and charge / Led by a delicate and tender prince,
  4. The principal part; the main body.
    • 1881, Thucydides, Benjamin Jowett Thucydides translated into English, Volume 1, page 310,
      Night closed upon the pursuit, and aided the mass of the fugitives in their escape.
  5. (physics) The quantity of matter which a body contains, irrespective of its bulk or volume. It is one of four fundamental properties of matter. It is measured in kilograms in the SI system of measurement.
  6. (pharmacy) A medicinal substance made into a cohesive, homogeneous lump, of consistency suitable for making pills; as, blue mass.
  7. (medicine) A palpable or visible abnormal globular structure; a tumor.
  8. (bodybuilding) Excess body weight, especially in the form of muscle hypertrophy.
    • 1988, Steve Holman, "Christian Conquers Columbus", Ironman 47 (6): 28-34.
      After all, muscle maniacs go "ga ga" over mass no matter how it's presented.
  9. A large body of individuals, especially persons.
    The mass of spectators didn't see the infraction on the field.
    A mass of ships converged on the beaches of Dunkirk.
  10. (in the plural) The lower classes of persons.
    The masses are revolting.
See also

From Wiktionary under the GNU Free Documentation License
Fri May 4 01:21:11 2012


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