Impulse Momentum: Difference between revisions
No edit summary |
No edit summary |
||
Line 5: | Line 5: | ||
===Impulse Momentum Theorem=== | ===Impulse Momentum Theorem=== | ||
Theorem of impulse momentum | The Impulse Momentum Theorem relates the momentum of a body to the force acting on the body. Impulse(J) is also the change in momentum. As a force on a body is applied for a longer amount of time, the impulse increases. If there is a changing force over the same time interval, the impulse also changes. The impulse is the product of the average force and the time interval over which it acts. Like linear momentum, impulse is a vector quantity and has the same direction as the average force. Its units are given in Newton-seconds (Ns). | ||
A large impulse will cause a large change in an object's momentum, just as a small impulse will cause a smaller change in an object's momentum. When looking at the equation <math>{J} = {d\vec{p}}</math>, one can replace J with the product of the average force and the time interval. Rearranging that equation results in <math>{F} = {\frac{d\vec{p}}{dt}}</math>, which shows that whenever momentum changes with time, there is some force acting on the body. | |||
====A Mathematical Model==== | ====A Mathematical Model==== | ||
Impulse can mathematically be defined as the force on a body multiplied by the duration of that force. | |||
<math>{\frac{d\vec{p}}{dt}} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force. | |||
This can be rearranged to represent impulse, '''J''' as a relationship between the net force and time of the collision: | |||
<math>{J} = {d\vec{p}} = \vec{F}_{net}{dt}</math> | |||
====A Computational Model==== | ====A Computational Model==== |
Revision as of 18:40, 29 November 2015
Impulse Momentum
This topic focuses on the impulse of systems during collisions. Claimed by thossain6
Impulse Momentum Theorem
The Impulse Momentum Theorem relates the momentum of a body to the force acting on the body. Impulse(J) is also the change in momentum. As a force on a body is applied for a longer amount of time, the impulse increases. If there is a changing force over the same time interval, the impulse also changes. The impulse is the product of the average force and the time interval over which it acts. Like linear momentum, impulse is a vector quantity and has the same direction as the average force. Its units are given in Newton-seconds (Ns).
A large impulse will cause a large change in an object's momentum, just as a small impulse will cause a smaller change in an object's momentum. When looking at the equation [math]\displaystyle{ {J} = {d\vec{p}} }[/math], one can replace J with the product of the average force and the time interval. Rearranging that equation results in [math]\displaystyle{ {F} = {\frac{d\vec{p}}{dt}} }[/math], which shows that whenever momentum changes with time, there is some force acting on the body.
A Mathematical Model
Impulse can mathematically be defined as the force on a body multiplied by the duration of that force. [math]\displaystyle{ {\frac{d\vec{p}}{dt}} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force. This can be rearranged to represent impulse, J as a relationship between the net force and time of the collision: [math]\displaystyle{ {J} = {d\vec{p}} = \vec{F}_{net}{dt} }[/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