Predicting Change in multiple dimensions
This page discusses the use of momentum to predict change in multi-dimensions and examples of how it is used.
Claimed by rbose7
The Main Idea
Linear momentum, or translational momentum of an object is equal to the product of the mass and velocity of an object. A change in any of these properties is reflected in the momentum.
If the object(s) are in a closed system not affected by external forces the total momentum of the system cannot change.
We can apply these properties to all three dimensions and use momentum to predict the path an object will follow over time by observing the change in momentum.
A Mathematical Model
This change in momentum is shown by the formula:
[math]\displaystyle{ \Delta \overrightarrow{p} }[/math] = [math]\displaystyle{ \overrightarrow{p}_{final}-\overrightarrow{p}_{initial} }[/math] = [math]\displaystyle{ m\overrightarrow{v}_{final}-m\overrightarrow{u}_{initial} }[/math]
Or by relating it to force:
[math]\displaystyle{ \Delta p = F \Delta t\, }[/math]
Given the velocity:
[math]\displaystyle{ \mathbf{v} = \left(v_x,v_y,v_z \right) }[/math]
For an object with mass [math]\displaystyle{ \mathbf{m} }[/math]
A Computational Model
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript
Examples
Be sure to show all steps in your solution and include diagrams whenever possible
Simple
Middling
Difficult
Connectedness
- How is this topic connected to something that you are interested in?
- How is it connected to your major?
- Is there an interesting industrial application?
History
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
See also
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?
Further reading
Books, Articles or other print media on this topic
External links
Internet resources on this topic
References
This section contains the the references you used while writing this page