Iterative Prediction
Claimed by tconnors3
The Main Idea
The Momentum Principle is one of the fundamental principles in the study of mechanics and dynamics. By applying it to real world problems, the motion of systems can be modeled at specific points in time. Additionally, analyzing the implications of the momentum principle, physicists can not only pinpoint behavior of systems, but can also predict the motion of systems at specified times in the future.
A Mathematical Model
By starting from the general equation for the Momentum Principle, a formula can derived to predict the momentum of a given system at a specified point in the future. This is often referred to as the momentum update form of the Momentum Principle:
[math]\displaystyle{ {{(1)}\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math]
[math]\displaystyle{ {{(2)}\vec{p}_{f} - \vec{p}_{i} = \vec{F}_{net}{δt} }[/math]
What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.
A Computational Model
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript
Examples
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