Conservation of Momentum, Everygy, Etc

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SUMMARY

The discussion centers on True/False questions related to the conservation of momentum and energy in physics. Participants confirm that momentum is conserved in all collisions, while mechanical energy is not necessarily conserved, particularly in inelastic collisions. The correct answers to the questions are debated, with consensus on the importance of precise terminology, especially regarding "mechanical energy." Participants emphasize the need for clarity in wording to avoid confusion in physics concepts.

PREREQUISITES
  • Understanding of linear momentum and its conservation laws
  • Knowledge of kinetic energy and its relationship to mechanical energy
  • Familiarity with elastic and inelastic collisions
  • Basic principles of vector mathematics, including the dot product
NEXT STEPS
  • Study the principles of elastic and inelastic collisions in detail
  • Explore the definitions and distinctions between mechanical energy and kinetic energy
  • Learn about the conservation laws in physics and their implications
  • Review vector mathematics, focusing on the properties of the dot product
USEFUL FOR

Students studying high school physics, educators teaching momentum and energy concepts, and anyone seeking to clarify the principles of conservation laws in physics.

tigerengineer
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Here's some homework True/False questions I got for homework, need some help making sure my answers are right.

True/False:
1)In a collision between a laight hydrogen molecule and a heavy water molecule, the momentum lost by one molecule is exactly the same as the momentum gained by the other molecule.

2)Mechanical energy is conserved whenever momentum is conserved.

3)Kinetic energy is conserved only in perfectly elastic collisions, but momentum is conserved in all collisions.

4)Two cars collide, lock bumpers and eventually slide to a stop due to friction with the roadway. During this entire process, mechanical energy and momentum are both conserved.

5)If the dot product of two nonzero vectors is zero, those vectors must be perpendicular to each other.

6)When a moving object hits a stationary object and causes it to move, some of the moving object's kinetic energy is transformed into momentum in the object that was at rest.
 
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So what are your answers?
 
1)T
2)F
3)F
4)T
5)F
6)T

But if you're going to be that much of a prick about it, just don't worry about it.
 
I'll just write out the logic/questions I'd have for each of them to suggest the answers I'd pick.

1) Linear momentum is conserved

2) First, what is your teaching meaning by "mechanical energy"? Momentum conservation doesn't imply any kind of energy conservation, it exists independently of energy conservation (each conservation law comes from a particular symmetry of the system), but I'd just be careful to make sure that this "mechanical energy" isn't being defined from momentum in some circular manner.

3) Well, yeah... that's basically just a statement about the type of system you are talking about.

4) I'm not a physicist, but I honestly don't know what "mechanical energy" is referring to in this context. This is an inelastic collision though...

5) Try coming up with some cases here...

6) I'm not honestly sure if this is just really sloppy terminology, or an elaborate trick question... I'd have to know the level that this question was being asked at to give a serious answer.
 
tigerengineer said:
1)T
2)F
3)F
4)T
5)F
6)T

But if you're going to be that much of a prick about it, just don't worry about it.

I agree with your answers to 1 and 2. but for the rest,

3 is true based on the principles of elastic collisions and conservation of momentum
4 is false if mechanical energy is referring to kinetic energy since energy is lost
5 is true - its just a basic principle of vectors
6 I am not too sure about- But I want to say false because of the way that it's worded.

I'm pretty sure of these answer, although I can't say that I'm 100% sure because of the weird way that theyre worded.
 
guitarguy1 said:
I agree with your answers to 1 and 2. but for the rest,

3 is true based on the principles of elastic collisions and conservation of momentum
4 is false if mechanical energy is referring to kinetic energy since energy is lost
5 is true - its just a basic principle of vectors
6 I am not too sure about- I want to say false because of the improper way that it's worded.

I'm pretty sure of these answer, although I can't say that I'm 100% sure because of the weird way that theyre worded.

Yeah, I agree here. The wording is incredibly poor in the original questions, but these should be the answers, within the assumption that this is high school level physics?
 
tigerengineer said:
1)T
2)F
3)F
4)T
5)F
6)T

But if you're going to be that much of a prick about it, just don't worry about it.

Nice attitude. :rolleyes: Grow up.

The rules (that you agreed to when you signed up with this forum, by the way) say you must show your work before you can expect help. You did not do that, so I'm going to tell you to do it. Your post is typical of those you would expect from some lazy student looking for free answers.

The homework template is there for a reason, please use it.
 

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