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Impulse

The time integral of force. The net external impulse acting on a system over a given time interval is equal to the system's change in momentum.


MotivationforConcept"> Motivation for Concept

One Definition of Impulse

Vector Change in Momentum

Suppose an object experiences a sudden interaction that results in a dramatic change in the object's momentum. One definition of the impulse provided by the interaction is to calculate the numerical value of the change in the object's momentum. In other words, the impulse J is:

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\begin

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[ \vec

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= \vec

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_

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- \vec

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= m\vec

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- m\vec

_

]\end

Note that because momentum is a vector, the change in momentum is also a vector. Thus, the impulse is by defintion a vector quantity. As with any vector quantity, it is important to remember that the calculation of impulse really involves three equations, one for each component:

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[ J_

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= mv_

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- mv_

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]
[ J_

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= mv_

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]
[ J_

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= mv_

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- mv_

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]\end

Initial-State Final-State Diagrams

The vector nature of momentum means that it very important when calculating the change to carefully set up a coordinate system.

Integral form of Newton's Second Law

ImpulseandTime-AveragedForce"> Impulse and Time-Averaged Force

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