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[[Coadan:Force.png|right|300 px|thumb|Dy cadjin, t'ad soilshaghey forseyn myr seiy ny tayrn. Foddee ad gobbraghey liorish [[trimmid]], [[magnaidys]] as [[phenomenon|phenomena]] elley ta cur er nhee siyraghey.]]
 
She parameter vaghtooragh eh '''forse''', as ta paart mooar echey ayns [[obbrinaght chlassicagh]]. Foddee eh [[bieauaghey]] ny [[aachummey]] nheeghyn, as trooid eiyrtys 'orse, foddee oo jannoo [[obbyr (fishag)|obbyr]] ny caghlaa [[bree]] nhee ennagh. Ta [[mooadys (maddaght)|mooadys]] as [[troa (maddaght)|troa]] ec forse, as myr shen, she [[vaghtoor]] t'ayn.
 
Ta [[leighyn gleashaght Newton]] meenaghey forse myr cormid caghlaa momentum nhee ennagh, dy ghraa myr shen:
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'''a''' çheet er [[bieauaghey]]
 
Ren ny shenn [[fallsoonys|'allsoonee]] ymmyd jeh'n eie dy row forse ayn er son studeyrys er nheeghyn [[obbrinaght staddagh|staddagh]] as [[dynamickyn|gleashagh]]. Ren [[Aristotle]] ymmyd yn eie shen y veenaghey, agh va'n eie echey goaill stiagh far-hoiggalyn bunneydagh v'ayn foast rish ymmodee keeadyn. Haink [[Archimedes]] dy hoiggal eh ny share liorish cooilleeiney [[jeshaght bunneydagh|jeshaghtyn bunneydagh]], agh ec y traa shen, shimmey peiagh va credjue eieyn Aristotle foast.<ref name="Archimedes">{{enmyseddyrvoggyl
| screeudeyr = T.L. Heath
| kiangley = http://www.archive.org/details/worksofarchimede029517mbp
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== Imraaghyn ==
{{rolleyimraaghyn}}
 
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:<math>\vec{F} = \mathrm{d}\vec{p}/\mathrm{d}t </math>
 
remains valid due to the fact that it is a mathematical definition.<ref name="Cutnell_p855-876">{{cite book| last =Cutnell| title =Physics, Sixth Edition| pages =855&ndash;876855–876| isbn =047123124X| author =Cutnell,| publisher =John Wiley & Sons Inc}}</ref> But in order to be conserved, relativistic momentum must be redefined as:
 
:<math> \vec{p} = \frac{m\vec{v}}{\sqrt{1 - v^2/c^2}}</math>
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In free-fall, this force is unopposed and therefore the net force on the object is its weight. For objects not in free-fall, the force of gravity is opposed by the reactions of their supports. For example, a person standing on the ground experiences zero net force, since his weight is balanced by a [[normal force]] exerted by the ground.<ref name="texts" />
 
Newton's contribution to gravitational theory was to unify the motions of heavenly bodies, which Aristotle had assumed were in a natural state of constant motion, with falling motion observed on the Earth. He proposed a [[Newton's Law of Gravity|law of gravity]] that could account for the celestial motions that had been described earlier using [[Kepler's Laws of Planetary Motion]].<ref name=uniphysics_ch4>''University Physics'', Sears, Young & Zemansky, pp59&ndash;82pp59–82</ref>
 
Newton came to realize that the effects of gravity might be observed in different ways at larger distances. In particular, Newton determined that the acceleration of the Moon around the Earth could be ascribed to the same force of gravity if the acceleration due to gravity decreased as an [[inverse square law]]. Further, Newton realized that the acceleration due to gravity is proportional to the mass of the attracting body.<ref name=uniphysics_ch4/> Combining these ideas gives a formula that relates the mass (<math>M_\oplus</math>) and the radius (<math>R_\oplus</math>) of the Earth to the gravitational acceleration:
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It was only the orbit of the planet [[Mercury (planet)|Mercury]] that Newton's Law of Gravitation seemed not to fully explain. Some astrophysicists predicted the existence of another planet ([[Vulcan (hypothetical planet)|Vulcan]]) that would explain the discrepancies; however, despite some early indications, no such planet could be found. When [[Albert Einstein]] finally formulated his theory of [[general relativity]] (GR) he turned his attention to the problem of Mercury's orbit and found that his theory added [[Tests of general relativity#Perihelion_precession_of_Mercury|a correction which could account for the discrepancy]]. This was the first time that Newton's Theory of Gravity had been shown to be less correct than an alternative.<ref name = Ein1916>{{cite journal| last = Einstein| first = Albert| authorlink = Albert Einstein| title = The Foundation of the General Theory of Relativity| journal = Annalen der Physik| volume = 49 | pages = 769–822| date = 1916| url = http://www.alberteinstein.info/gallery/gtext3.html| format = [[PDF]]| accessdate = 2006-09-03 }}</ref>
 
Since then, and so far, general relativity has been acknowledged as the theory which best explains gravity. In GR, gravitation is not viewed as a force, but rather, objects moving freely in gravitational fields travel under their own inertia in [[geodesic|straight lines]] through [[curved space-time]] &ndash; defined as the shortest space-time path between two space-time events. From the perspective of the object, all motion occurs as if there were no gravitation whatsoever. It is only when observing the motion in a global sense that the curvature of space-time can be observed and the force is inferred from the object's curved path. Thus, the straight line path in space-time is seen as a curved line in space, and it is called the ''[[external ballistics|ballistic]] [[trajectory]]'' of the object. For example, a [[basketball]] thrown from the ground moves in a [[parabola]], as it is in a uniform gravitational field. Its space-time trajectory (when the extra ct dimension is added) is almost a straight line, slightly curved (with the [[radius of curvature (applications)|radius of curvature]] of the order of few [[light-year]]s). The time derivative of the changing momentum of the object is what we label as "gravitational force".<ref name="texts" />
 
===Electromagnetic forces===
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|title=Electricity and Magnetism, 3rd Ed.
|publisher=McGraw-Hill
|pages=364&ndash;383364–383
|year=1980
|isbn=0-07-084111-X}}</ref>
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== Units of measurement ==
The [[SI]] unit of force is the [[Newton (unit)|newton]] (symbol N), which is the force required to accelerate a one kilogram mass at a rate of one meter per second squared, or kg·m·s<sup>&minus;2−2</sup>.<ref name=metric_units>
{{cite book |first=Cornelius |last=Wandmacher |first2=Arnold |last2=Johnson |title=Metric Units in Engineering |page=15 |year=1995 |publisher=ASCE Publications |isbn=0784400709}}</ref> The corresponding [[CGS]] unit is the [[dyne]], the force required to accelerate a one gram mass by one centimeter per second squared, or g·cm·s<sup>&minus;2−2</sup>. A newton is thus equal to 100,000&nbsp;dyne.
 
The gravitational [[foot-pound-second]] [[English unit]] of force is the [[pound-force]] (lbf), defined as the force exerted by gravity on a [[pound-mass]] in the [[Standard gravity|standard gravitational]] field of 9.80665&nbsp;m·s<sup>&minus;2−2</sup>.<ref name=metric_units/> The pound-force provides an alternative unit of mass: one [[slug (mass)|slug]] is the mass that will accelerate by one foot per second squared when acted on by one pound-force.<ref name=metric_units/>
 
An alternative unit of force in a different foot-pound-second system, the absolute fps system, is the [[poundal]], defined as the force required to accelerate a one pound mass at a rate of one foot per second squared.<ref name=metric_units/> The units of [[slug (mass)|slug]] and [[poundal]] are designed to avoid a constant of proportionality in [[Newton's laws of motion#Newton's second law|Newton's second law]].
 
The pound-force has a metric counterpart, less commonly used than the newton: the [[kilogram-force]] (kgf) (sometimes [[kilopond]]), is the force exerted by standard gravity on one kilogram of mass.<ref name=metric_units/> The kilogram-force leads to an alternate, but rarely used unit of mass: the [[metric slug]] (sometimes [[mug]] or [[hyl]]) is that mass which accelerates at 1&nbsp;m·s<sup>&minus;2−2</sup> when subjected to a force of 1&nbsp;kgf. The kilogram-force is not a part of the modern SI system, and is generally deprecated; however it still sees use for some purposes as expressing jet thrust, bicycle spoke tension, torque wrench settings and engine output torque. Other arcane units of force include the [[sthène]] which is equivalent to 1000&nbsp;N and the [[kip (force)|kip]] which is equivalent to 1000&nbsp;lbf.
 
{{units of force|center=yes}}
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