Linear momentum - Revision history

Vipul: /* Units and dimensions */

2010-01-20T19:55:42Z

Units and dimensions

← Older revision		Revision as of 19:55, 20 January 2010
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	==Units and dimensions==		==Units and dimensions==

	\|{ class="sortable" border="1"		{\| class="sortable" border="1"
	! Question !! Answer		! Question !! Answer
	\|-		\|-

Vipul: /* Units and dimensions */

2010-01-20T19:46:39Z

Units and dimensions

← Older revision		Revision as of 19:46, 20 January 2010
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	==Units and dimensions==		==Units and dimensions==

	~~The~~ dimensions ~~of linear momentum are~~ <math>MLT^{-1}</math>~~, and the~~ SI units ~~are~~ <math>kgm/s</math> (~~kilogram meters~~ per second)~~. These are the same as the units of [[impulse]], which is related to linear momentum via a formulation of [[~~Newton's second ~~law]]: the net external impulse on a system equals the change in its linear momentum.~~		\|{ class="sortable" border="1"
			! Question !! Answer
			\|-
			\| Scalar or vector? \|\| [[Quantity type::Vector]]
			\|-
			\| Instantaneous or time-cumulative \|\| [[Quantity type::Instantaneous]]
			\|-
			\| MLT dimensions \|\| <math>MLT^{-1}</math>: [[MLT::MLT;1;1;-1]] (same as those of [[impulse]])
			\|-
			\| SI units \|\| <math>kgm/s</math> (kilograms meter per second) or <math>N-s</math> (Newton-second)
			\|}

Vipul at 23:17, 19 January 2010

2010-01-19T23:17:28Z

← Older revision		Revision as of 23:17, 19 January 2010
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	<math>\int \overline{v} \rho \, dV</math>		<math>\int \overline{v} \rho \, dV</math>

			==Units and dimensions==

			The dimensions of linear momentum are <math>MLT^{-1}</math>, and the SI units are <math>kgm/s</math> (kilogram meters per second). These are the same as the units of [[impulse]], which is related to linear momentum via a formulation of [[Newton's second law]]: the net external impulse on a system equals the change in its linear momentum.

Vipul: Created page with '==Definition== ===For a single body in pure translation=== The '''linear momentum''' of a body is the vector $m\overline{v}$ , where $m$ is the [[defining …'

2010-01-19T23:15:43Z

Created page with '==Definition== ===For a single body in pure translation=== The '''linear momentum''' of a body is the vector <math>m\overline{v}</math>, where <math>m</math> is the [[defining …'

New page

==Definition==

===For a single body in pure translation===

The '''linear momentum''' of a body is the vector <math>m\overline{v}</math>, where <math>m</math> is the [[defining ingredient::mass]] of the body and <math>\overline{v}</math> is the [[defining ingredient::velocity]] of the body.

===For a system of bodies, each in pure translation===

The '''linear momentum''' of a system is the sum of the linear momenta of all the bodies in that system. If the system comprises <math>n</math> bodies with masses <math>m_1, m_2, \dots, m_n</math> respectively and velocities <math>\overline{v}_1, \overline{v}_2, \dots, \overline{v}_n</math> respectively, the total linear momentum is given by:

<math>\! \sum_{i=1}^n m_i\overline{v}_i</math>

This is a vector summation.

===For a single body undergoing motion that is not purely translation===

In this case, we integrate the velocity vector over a mass differential:

<math>\int \overline{v} \, dm</math>

This is equivalent to integrating the product of velocity and [[density]] over a volume differential:

<math>\int \overline{v} \rho \, dV</math>

Linear momentum - Revision history

Vipul: /* Units and dimensions */

Vipul: /* Units and dimensions */

Vipul at 23:17, 19 January 2010

Vipul: Created page with '==Definition== ===For a single body in pure translation=== The '''linear momentum''' of a body is the vector m\overline{v}, where m is the [[defining …'

Vipul: Created page with '==Definition== ===For a single body in pure translation=== The '''linear momentum''' of a body is the vector $m\overline{v}$ , where $m$ is the [[defining …'