Is Impulse Conserved in Collisions?

In summary, conservation of impulse refers to the principle that the product of force and time remains the same before and after a collision, resulting in equal and opposite impulses acting on the two objects involved. Impulse is not a conserved quantity itself, but rather a consequence of Newton's Third Law.
  • #1
Astar
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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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  • #2


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?
 
  • #3


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.
 
  • #4


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.
 
  • #5


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

1. What is the principle of conservation of impulse?

The principle of conservation of impulse states that the total impulse of a system remains constant as long as no external forces act on it. This means that the total momentum of a system before and after a collision or interaction remains the same.

2. How is impulse related to momentum?

Impulse is directly related to momentum, as it is defined as the change in momentum of an object over a certain period of time. This means that a greater impulse will result in a greater change in momentum, and vice versa.

3. What are some real-life examples of conservation of impulse?

Some real-life examples of conservation of impulse include billiard balls colliding on a pool table, a baseball being hit by a bat, and a car crash. In each of these situations, the total momentum before and after the interaction remains the same, demonstrating the principle of conservation of impulse.

4. Can the principle of conservation of impulse be violated?

In a closed system where no external forces act on it, the principle of conservation of impulse cannot be violated. However, in open systems where external forces are present, the total impulse may not be conserved. This is because external forces can change the momentum of a system.

5. How is the conservation of impulse related to Newton's Third Law of Motion?

The conservation of impulse is closely related to Newton's Third Law of Motion, which states that for every action, there is an equal and opposite reaction. In the context of impulse, this means that the total impulse of a system will be conserved as the forces involved will always be equal and opposite.

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