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<b>Mass</b> is a measure of the total amount of stuff in an object. Fundamentally, it is the total amount of [[energy]] that was required to create the object, as given by E=mc&sup2;. In more common use it is a measure of an objects propensity (or lack there of) to accelerate when a force is applied to it as given by [[Newtons laws|Newton's Second Law]] F/a=m.  In physics mass is [[extensive property|extensive]] physical property of a system and is most frequently measured in the [[SI]] unit of [[kilogram|kilograms]].  Finally, mass serves as the "charge" for the gravitational force.  
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In physics, '''mass''' is an [[extensive property|extensive]] physical property of a system and is most frequently measured in the [[SI]] unit of [[kilogram|kilograms]]. Mass is a measure of the quantity of matter in a system. Mass is also the "charge" of the [[gravity|gravitational force]], and the resistance an object has to acceleration in the presence of a force.  The first form of mass is called '''gravitational mass'''; the second '''inertial mass'''.  While most physical theories do not require gravitational mass and inertial mass to be equal, no object or condition has ever been found where the two are not equal, and most discussions simplify by using only the term '''mass'''.
 
Inertial mass is the measure of an object's propensity (or lack thereof) to accelerate when a force is applied to it as given by [[Newton's laws|Newton's Second Law]]: ''F = ma'', and thus ''m = F/a'', where ''F'' is net [[force]], ''a'' is [[acceleration]], and ''m'' is mass.
 
As the "charge" of the gravitational force, any object possessing mass exerts a force on any other object possessing mass; in this case, "mass" refers to gravitational mass. In Newtonian mechanics, the gravitational force is given as:
:<math>F = G\, \frac{M_{\mathrm{1}}M_{\mathrm{2}}}{R^2_{\mathrm{}}}</math>, where ''F'' is force, ''G'' is the [[gravitational constant]], and ''R'' is the distance between the two objects, which have masses <math>M_1</math> and <math>M_2</math>.


== Mass versus weight ==  
== Mass versus weight ==  
Mass is frequently confused with [[weight]] which is actually a measure of the gravitational force applied to a mass. This is why you can be "lighter weight" on the moon without have a lower mass. This is a particularly annoying problem when converting between the [[English system|English]] and [[metric]] systems because the English system uses [[pounds]] which is a unit of force where the metric uses [[kilograms]] a unit of mass.
Mass is frequently confused with [[weight]] which is actually a measure of the gravitational force applied to a mass. This is why you can be "lighter weight" on the moon without having a lower mass. This problem occurs frequently when using [[U.S. customary units]] because the U.S. system uses [[pounds]] which is a unit of force as a basic unit, while the [[metric system|SI]] uses [[kilograms]], a unit of mass, as a basic unit.
 
== Units of mass ==
The basic unit of mass is [[SI]] is the [[kilogram]] (abbreviated ''kg''), the standard of mass is the ''International Prototype Kilogram ''.


== Other units of mass ==
1 [[kg]] (SI) = 0.0685 [[slug|[slug]]] (English)
1 [[kilogram|[kg]]] (SI) = 0.0685 [[slug|[slug]]] (English)


1 [[kilogram|[kg]]] (SI) = <math>5.60958921*10^{35}  \lbrack \tfrac{ev}{c^2} \rbrack </math> (SI) The "c&sup2;" is often dropped when using this unit.
1 [[kg]] (SI) = <math>5.60958921*10^{35}  \lbrack \tfrac{ev}{c^2} \rbrack </math> where "ev" is the unit [[electron-volt]] and ''c'' is the [[speed of light]]. The "c&sup2;" is often dropped when using this unit.


1 [[kilogram|[kg]]] (SI) = <math>1.67386428*10^{-25}</math> [[earth mass unit|[emu]]]  Earth mass units
1 [[kg]] (SI) = <math>1.67386428*10^{-25}</math> [[earth mass unit|emu]]  Earth mass units


1 [[kilogram|[kg]]] (SI) = <math>5.02785431*10^{-31}</math> [[solar masses|[solar masses]]]
1 [[kg]] (SI) = <math>5.02785431*10^{-31}</math> [[solar mass|solar masses]]




== Gravitational versus inertial mass ==
== Gravitational versus inertial mass ==
The fact that the same quantity serves as both the "charge" for the gravitational force and the inertial term of Newton's Second Law is neither necessary nor predicted by other laws of physics.  This observed fact has led to some open problems in gravity, [[Albert Einstein]] assumed it to be true in his formulation of [[General Relativity]]
The fact that the same quantity serves as both the "charge" for the gravitational force and the inertial term of Newton's Second Law is neither necessary nor predicted by other laws of physics.  This observed fact has led to some open problems in gravity. [[Albert Einstein]] assumed it to be true in his formulation of [[General Relativity]].


== Relativistic Mass ==
== Relativistic Mass ==
Some interpretations of [[special relativity]] see the mass of an object increasing as the velocity increasesThis view has fallen out of favor, though is still used by some physicists.
In relativistic physics, mass and energy are interchangeable, as described by Einstein's famous equation ''E=mc&sup2;''Consequences of this are that energy exerts gravitational force, and that electromagnetic radiation is affected by gravity.


[[Category:Physics Workgroup]]
[[Category:Physics Workgroup]]

Latest revision as of 15:49, 1 July 2022

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In physics, mass is an extensive physical property of a system and is most frequently measured in the SI unit of kilograms. Mass is a measure of the quantity of matter in a system. Mass is also the "charge" of the gravitational force, and the resistance an object has to acceleration in the presence of a force. The first form of mass is called gravitational mass; the second inertial mass. While most physical theories do not require gravitational mass and inertial mass to be equal, no object or condition has ever been found where the two are not equal, and most discussions simplify by using only the term mass.

Inertial mass is the measure of an object's propensity (or lack thereof) to accelerate when a force is applied to it as given by Newton's Second Law: F = ma, and thus m = F/a, where F is net force, a is acceleration, and m is mass.

As the "charge" of the gravitational force, any object possessing mass exerts a force on any other object possessing mass; in this case, "mass" refers to gravitational mass. In Newtonian mechanics, the gravitational force is given as:

, where F is force, G is the gravitational constant, and R is the distance between the two objects, which have masses and .

Mass versus weight

Mass is frequently confused with weight which is actually a measure of the gravitational force applied to a mass. This is why you can be "lighter weight" on the moon without having a lower mass. This problem occurs frequently when using U.S. customary units because the U.S. system uses pounds which is a unit of force as a basic unit, while the SI uses kilograms, a unit of mass, as a basic unit.

Units of mass

The basic unit of mass is SI is the kilogram (abbreviated kg), the standard of mass is the International Prototype Kilogram .

1 kg (SI) = 0.0685 [slug] (English)

1 kg (SI) = where "ev" is the unit electron-volt and c is the speed of light. The "c²" is often dropped when using this unit.

1 kg (SI) = emu Earth mass units

1 kg (SI) = solar masses


Gravitational versus inertial mass

The fact that the same quantity serves as both the "charge" for the gravitational force and the inertial term of Newton's Second Law is neither necessary nor predicted by other laws of physics. This observed fact has led to some open problems in gravity. Albert Einstein assumed it to be true in his formulation of General Relativity.

Relativistic Mass

In relativistic physics, mass and energy are interchangeable, as described by Einstein's famous equation E=mc². Consequences of this are that energy exerts gravitational force, and that electromagnetic radiation is affected by gravity.