Why is there a change in momentum during elastic collisions?

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In summary, impulse exists because momentum is conserved for a system, but not necessarily for individual objects within the system. During a collision, there may be a change in an object's momentum, leading to a net force and impulse. However, the total momentum of the system remains constant.
  • #1
sallychan
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Hi guys. I just got a general question.

Homework Statement


I learned about impulse today in class, and I just wonder why it exists?

Impulse is defined as "the change in momentum", but momentum is always conserved in elastic collision.

Homework Equations


So if momentum is conserved, why there is a change in momentum?

The Attempt at a Solution



I am so confused. I will appreciate your help!
 
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  • #2
The momentum of a system is conserved, but that doesn't mean the momentum of a particular object in the system is always the same.
 
  • #3
axmls said:
The momentum of a system is conserved, but that doesn't mean the momentum of a particular object in the system is always the same.

Does it mean that impulse always exist during the collision?
 
  • #4
Does the object's momentum change? Then there was a net force on it, and that net force occurred for some finite period of time. And so, do you think there was an impulse?

But the distinction is important to make. Momentum is conserved for a system. Take an object that's moving and an object that's sitting still. When they collide, the moving object has a force on it (the normal force from the other object), and it slows down. So that's less momentum in the system. But the other object begins to speed up, because there's a net force on it caused by the normal force from the original moving object, so that's more momentum in the system. All in all, the total momentum of the system remains the same, even though the individual momentums changed.
 

Related to Why is there a change in momentum during elastic collisions?

1. What is impulse?

Impulse is a physical quantity that measures the change in momentum of an object. It is a vector quantity, meaning it has both magnitude and direction, and is represented by the symbol "J".

2. Why does impulse exist?

Impulse exists because of the laws of physics, specifically Newton's second law which states that the force applied to an object is equal to the object's mass times its acceleration. When a force acts on an object for a certain amount of time, it causes a change in the object's momentum, resulting in impulse.

3. How is impulse related to momentum?

Impulse and momentum are directly related to each other. Impulse is the change in momentum, so the greater the impulse, the greater the change in momentum. This means that a larger force acting over a longer period of time will result in a greater change in momentum.

4. Can impulse be negative?

Yes, impulse can be negative. This occurs when the force acting on an object is in the opposite direction of its motion, resulting in a decrease in momentum. Negative impulse is often referred to as "negative work".

5. How is impulse different from force?

Impulse and force are related but are not the same. Force is a push or pull applied to an object, while impulse is the change in an object's momentum due to that force. Force is a vector quantity, while impulse is a vector quantity with both magnitude and direction. Additionally, force is measured in Newtons (N) while impulse is measured in Newton-seconds (N·s).

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