Laws of conservation of momentum?

In summary, the conversation discusses whether three different topics, namely energy lost due to impact, inelastic impact, and purely elastic impact, fall under the laws of conservation of momentum. The answer is yes, as momentum is always conserved in collisions, regardless of whether they are elastic or inelastic. However, in the case of an inelastic collision, some initial energy is lost in the form of heat or sound energy. It is important to note that while kinetic energy is not conserved in these scenarios, energy is still conserved locally on Earth. The distinction between mechanical energy and thermal energy is also important for students to understand.
  • #1
Benjamin_harsh
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Problem Statement: Are this 3 topics comes under laws of conservation of momentum?
Relevant Equations: Are this 3 topics comes under laws of conservation of momentum?

Are this 3 topics comes under laws of conservation of momentum: energy lost due to impact, inelastic impact, purely elastic impact?

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  • #2
Yes. Momentum is conserved, so as long as there are no external forces involved, that is true for all three.
 
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  • #3
Benjamin_harsh said:
Are this 3 topics comes under laws of conservation of momentum: energy lost due to impact, inelastic impact, purely elastic impact?
Are you asking whether the law of momentum conservation is valid in these cases? If yes, then the answer is also yes. During collision, elastic or inelastic, momentum is always conserved. In inelastic case, energy is not conserved in the sense that some amount of the initial energy is lost in the form of heat or sound energy.
 
  • #4
Wrichik Basu said:
energy is not conserved
Kinetic energy is not conserved. Important distinction.
 
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  • #5
Orodruin said:
Kinetic energy is not conserved. Important distinction.
Any Potential energy stored due to the deformation of objects is not conserved either. (Hysteresis is at work)
 
  • #6
Those answers are correct, but they can be confusing to students who are shaky on energy conservation. Would it be better to say that "On Earth, energy is always conserved, but in this scenario some kinetic energy and potential energy can be transformed to heat energy."?

The "on Earth" or "locally" qualifier is needed because energy is not necessarily conserved in the whole universe.

I just worry that a B level student may be sloppy and read, "Kinetic energy is not conserved" as "Energy is not conserved."
 
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  • #7
anorlunda said:
I just worry that a B level student may be sloppy and read, "Kinetic energy is not conserved" as "Energy is not conserved."
The important distinction is between mechanical energy and thermal energy. Students should understand that "Mechanical energy is not conserved" except under the most ideal of conditions.
 

1. What is the law of conservation of momentum?

The law of conservation of momentum states that the total momentum of a closed system remains constant over time, unless an external force is applied.

2. What is momentum?

Momentum is a measure of an object's motion, calculated by multiplying its mass by its velocity.

3. How is momentum conserved in a closed system?

In a closed system, the total momentum before an event is equal to the total momentum after the event. This means that if one object gains momentum, another object must lose an equal amount of momentum.

4. What is an example of the law of conservation of momentum in action?

A classic example is a game of billiards. When a cue ball collides with a stationary ball, the momentum of the cue ball is transferred to the other ball, causing it to move. The total momentum of the system (both balls) remains the same before and after the collision.

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

Newton's Third Law states that for every action, there is an equal and opposite reaction. This means that when two objects collide, the force exerted on each other is equal and opposite. As a result, the total momentum of the system remains constant.

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