Conservation of Momentum - Revision history

Rohitnaras: /* A Computational Model */

2025-12-03T03:21:39Z

A Computational Model

← Older revision		Revision as of 23:21, 2 December 2025
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	Here is a fun one! The link below shows a simulation of an explosion, where the original object breaks into two fragments while conserving total momentum.		Here is a fun one! The link below shows a simulation of an explosion, where the original object breaks into two fragments while conserving total momentum.

			[https://trinket.io/glowscript/29e700a9bba8]

	==Examples==		==Examples==

Rohitnaras: /* A Computational Model */

2025-12-03T03:20:59Z

A Computational Model

← Older revision		Revision as of 23:20, 2 December 2025
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	[https://trinket.io/glowscript/56497389cdce]		[https://trinket.io/glowscript/56497389cdce]

			Here is a fun one! The link below shows a simulation of an explosion, where the original object breaks into two fragments while conserving total momentum.

	==Examples==		==Examples==

Rohitnaras: /* A Computational Model */

2025-12-03T03:13:56Z

A Computational Model

← Older revision		Revision as of 23:13, 2 December 2025
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	The link below shows a simulation of an elastic collision where one object transfers all of its momentum to the second object after the collision.		The link below shows a simulation of an elastic collision where one object transfers all of its momentum to the second object after the collision.

	~~<iframe src="~~https://trinket.io~~/embed~~/glowscript/c2378d7b848e~~" width="100%" height="356" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen><~~/~~iframe>~~		[https://trinket.io/glowscript/c2378d7b848e]

			The link below shows a simulation of a perfectly inelastic collision where the two objects stick together after colliding and move with shared velocity.

			[https://trinket.io/glowscript/56497389cdce]

	==Examples==		==Examples==

Rohitnaras: /* A Computational Model */

2025-12-03T03:09:54Z

A Computational Model

← Older revision		Revision as of 23:09, 2 December 2025
Line 34:		Line 34:
	The link below shows a simulation of an elastic collision where one object transfers all of its momentum to the second object after the collision.		The link below shows a simulation of an elastic collision where one object transfers all of its momentum to the second object after the collision.

	[https://trinket.io/glowscript/~~7bc4cb8e9a]~~		<iframe src="https://trinket.io/embed/glowscript/c2378d7b848e" width="100%" height="356" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe>

	==Examples==		==Examples==

Rohitnaras: /* A Computational Model */

2025-12-03T03:03:20Z

A Computational Model

← Older revision		Revision as of 23:03, 2 December 2025
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	===A Computational Model===		===A Computational Model===

	The ~~program~~ below shows a simulation of an elastic collision where one object transfers all of its momentum to the second object after the collision.		The link below shows a simulation of an elastic collision where one object transfers all of its momentum to the second object after the collision.

	~~<iframe src="~~https://trinket.io~~/embed~~/glowscript/7bc4cb8e9a~~?outputOnly=true" width="100%" height="356" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen> </iframe>~~		[https://trinket.io/glowscript/7bc4cb8e9a]

	==Examples==		==Examples==

Rohitnaras: /* A Computational Model */

2025-12-03T03:02:49Z

A Computational Model

← Older revision		Revision as of 23:02, 2 December 2025
Line 34:		Line 34:
	The program below shows a simulation of an elastic collision where one object transfers all of its momentum to the second object after the collision.		The program below shows a simulation of an elastic collision where one object transfers all of its momentum to the second object after the collision.

	<iframe src="https://trinket.io/embed/glowscript/7bc4cb8e9a?outputOnly=true" width="100%" height="356" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe>		<iframe src="https://trinket.io/embed/glowscript/7bc4cb8e9a?outputOnly=true" width="100%" height="356" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen> </iframe>

	==Examples==		==Examples==

Rohitnaras: /* A Computational Model */

2025-12-03T03:02:11Z

A Computational Model

← Older revision		Revision as of 23:02, 2 December 2025
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	===A Computational Model===		===A Computational Model===

	The ~~link~~ below shows a simulation of an elastic collision where one object transfers all of its momentum to the second object after the collision.		The program below shows a simulation of an elastic collision where one object transfers all of its momentum to the second object after the collision.

	[https://trinket.io/embed/glowscript/7bc4cb8e9a]		<iframe src="https://trinket.io/embed/glowscript/7bc4cb8e9a?outputOnly=true" width="100%" height="356" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe>

	==Examples==		==Examples==

Rohitnaras: /* A Mathematical Model */

2025-12-03T02:52:33Z

A Mathematical Model

← Older revision		Revision as of 22:52, 2 December 2025
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	<math> \begin{align} p_1 \end{align} </math> is the momentum of the first object, <math> \begin{align} m_1 \end{align} </math> is the mass of the first object, <math> \begin{align} v_1 \end{align} </math> is the velocity of the first object. <math> \begin{align} p_2 \end{align} </math> is the momentum of the second object, <math> \begin{align} m_2 \end{align} </math> is the mass of the second object, <math> \begin{align} v_2 \end{align} </math> is the velocity of the second object.		<math> \begin{align} p_1 \end{align} </math> is the momentum of the first object, <math> \begin{align} m_1 \end{align} </math> is the mass of the first object, <math> \begin{align} v_1 \end{align} </math> is the velocity of the first object. <math> \begin{align} p_2 \end{align} </math> is the momentum of the second object, <math> \begin{align} m_2 \end{align} </math> is the mass of the second object, <math> \begin{align} v_2 \end{align} </math> is the velocity of the second object.

	Because momentum is represented by a vector quantity, the conservation law applies separately in each direction. ~~So:~~		Because momentum is represented by a vector quantity, the conservation law applies separately in each direction. Thus,

	<math>\sum p_{x,\text{initial}} = \sum p_{x,\text{final}}</math><br>		<math>\sum p_{x,\text{initial}} = \sum p_{x,\text{final}}</math><br>
	<math>\sum p_{y,\text{initial}} = \sum p_{y,\text{final}}</math><br>		<math>\sum p_{y,\text{initial}} = \sum p_{y,\text{final}}</math><br>
	<math>\sum p_{z,\text{initial}} = \sum p_{z,\text{final}}</math>		<math>\sum p_{z,\text{initial}} = \sum p_{z,\text{final}}</math>

			This is useful when dealing with collisions in the 2nd and 3rd dimensions, where the components of momentum must be treated independently.

	===A Computational Model===		===A Computational Model===

Rohitnaras: /* A Mathematical Model */

2025-12-03T02:50:51Z

A Mathematical Model

← Older revision		Revision as of 22:50, 2 December 2025
Line 24:		Line 24:
	Because momentum is represented by a vector quantity, the conservation law applies separately in each direction. So:		Because momentum is represented by a vector quantity, the conservation law applies separately in each direction. So:

	<math>\sum p_{x,\text{initial}} = \sum p_{x,\text{final}},</math>		<math>\sum p_{x,\text{initial}} = \sum p_{x,\text{final}}</math><br>
	<math>\sum p_{y,\text{initial}} = \sum p_{y,\text{final}},</math>		<math>\sum p_{y,\text{initial}} = \sum p_{y,\text{final}}</math><br>
	<math>\sum p_{z,\text{initial}} = \sum p_{z,\text{final}}.</math>		<math>\sum p_{z,\text{initial}} = \sum p_{z,\text{final}}</math>

	===A Computational Model===		===A Computational Model===

Rohitnaras: /* A Mathematical Model */

2025-12-03T02:50:10Z

A Mathematical Model

← Older revision		Revision as of 22:50, 2 December 2025
Line 24:		Line 24:
	Because momentum is represented by a vector quantity, the conservation law applies separately in each direction. So:		Because momentum is represented by a vector quantity, the conservation law applies separately in each direction. So:

	<math>\sum p_{x,\~~mathrm~~{initial}} = \sum p_{x,\~~mathrm~~{final}},</math>		<math>\sum p_{x,\text{initial}} = \sum p_{x,\text{final}},</math>
	<math>\sum p_{y,\~~mathrm~~{initial}} = \sum p_{y,\~~mathrm~~{final}},</math>		<math>\sum p_{y,\text{initial}} = \sum p_{y,\text{final}},</math>
	<math>\sum p_{z,\~~mathrm~~{initial}} = \sum p_{z,\~~mathrm~~{final}},</math>		<math>\sum p_{z,\text{initial}} = \sum p_{z,\text{final}}.</math>

	===A Computational Model===		===A Computational Model===