Is Impulse Conserved in Collisions?

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SUMMARY

Impulse is not conserved in the same way that momentum is conserved during collisions. Impulse, defined as the product of force and time, represents the change in momentum of an object. In a collision, while momentum is exchanged between colliding bodies, the impulses acting on them are equal in magnitude and opposite in direction due to Newton's Third Law. Therefore, while impulse is related to momentum, it is not a conserved quantity in the context of collisions.

PREREQUISITES
  • Understanding of Newton's Third Law of Motion
  • Familiarity with the concepts of momentum and impulse
  • Knowledge of basic physics equations, specifically Impulse = Force x Time
  • Ability to analyze force vs. time graphs
NEXT STEPS
  • Study the relationship between impulse and momentum in detail
  • Learn how to calculate impulse using force vs. time graphs
  • Explore examples of elastic and inelastic collisions
  • Investigate real-world applications of impulse in sports and vehicle collisions
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of momentum and impulse in collisions.

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Conservation of Impulse?

Homework Statement



I know that momentum is conserved, but is impulse?

Homework Equations


Impulse = change in momentum


The Attempt at a Solution



I really have no idea. I would say it isn't conserved because it equals the changein momentum. But the two options I can choose from are:

Impulse is ALWAYS conserved or MOSTLY conserved in collisions...

Any help would be great thanks. :D
SO is it always or mostly? *confused*
 
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When momentum is conserved, you have a system of two or more components which exchange momentum in such a way that, even though the momenta of all components change, the sum of the momenta remains the same. While momentum is transferred from one component to another, equal and opposite impulses act on the two objects as required by Newton's 3rd Law. So to recognize momentum conservation, one would have to record the system's total momentum before the exchange and compare with the system's total momentum after the exchange. If they are equal, momentum is conserved.

Since you asked the question, what exactly do you mean by "impulse conservation"? How would you recognize impulse conservation if you saw it?
 


So Impulse = Force x Time
By impulse conservation I mean, the product of the force applied and the time over which it is applied remains the same before and after the collision. And yet that would mean that the change in momentum of the objects would be the same. :confused:
I don't know if you could actually see impulse conservation, unless the two objects had the same acceleration or something.

Impulse is a concept that really confuses me. I really have no idea about what to say for this question.
 


Astar said:
So Impulse = Force x Time
By impulse conservation I mean, the product of the force applied and the time over which it is applied remains the same before and after the collision.
The impulse on one of the colliding objects is the total momentum transferred to that body during the collision. It can take the form of "product of force times time" and more correctly the area under the force vs time curve. Before the collision there is no impulse because the collision has not taken place. After the collision, the impulse is whatever momentum was transferred to one mass. It is equal and opposite to the momentum transferred to the other mass. As I said earlier, the fact that impulses come in pairs that are equal in magnitude and opposite in direction is not a conservation principle but a direct consequence of Newton's Third Law.
 


Ahh thanks heaps. Great explanation! :D Finally I understand this concept!
 

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