Horrocks–Mumford bundle: Difference between revisions

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{{Other uses|FG (disambiguation)}}
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{{Unreferenced|date=October 2007}}
{{Orphan|date=June 2009}}
 
'''F<sub>''g''</sub>''' is an abbreviation used in [[physics]] and [[engineering]] for the [[force]] exerted by [[gravity]] on an object, normally represented in units such as the [[newton (unit)|newton]]. '''F'''<sub>''g''</sub> is always a [[conservative force]].
 
==Gravity on earth==
 
On Earth, '''F'''<sub>''g''</sub> is equal to the [[mass]] of an object (e.g. in kilograms) times the [[standard gravity|acceleration caused by gravity]], which is approximately 9.81 meters per second squared. This is represented by the formula:
 
:<math>\mathbf{F}_{g} = m g.</math>
 
==Between many objects==
 
More generally, the force of gravity exerted on an object of mass ''m'' by ''N'' objects of masses ''m<sub>i</sub>'' and at distances ''r<sub>i</sub>'' is equal to the vector sum of all the individual forces, given by the equation:
 
:<math>\mathbf{F}_{g} = \sum_{i=1}^{N} -G \frac{m m_i}{r_{i}^3}\mathbf{r}_{i}.</math>
 
[[Category:Gravitation]]
 
 
{{Physics-stub}}

Latest revision as of 16:33, 24 September 2014

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