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===Impulse Momentum Theorem=== | ===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 | The Impulse Momentum Theorem relates the momentum of a body or system 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 also changes. 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 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. | ||
To clarify, impulse is the effect of a net force acting on a body over a period of time, while momentum is the force within a body or system due to its total velocity. | |||
====A Mathematical Model==== | ====A Mathematical Model==== | ||
Revision as of 18:15, 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 or system 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 also changes. 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.
To clarify, impulse is the effect of a net force acting on a body over a period of time, while momentum is the force within a body or system due to its total velocity.
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
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