Law of conservation of kinetic energy?

AI Thread Summary
The discussion clarifies that there is a distinction between the "law of conservation of energy" and the concept of "conservation of kinetic energy," with the latter not being a standalone law since kinetic energy is not always conserved in collisions. An example provided illustrates that in inelastic collisions, such as two blobs sticking together, kinetic energy is lost. The conversation also touches on the conservation of total energy, where elastic potential energy converts to kinetic energy in spring systems. Participants discuss the spring constant (k) in the context of Hooke's Law, emphasizing its role in calculating forces and displacements. The importance of understanding these concepts for problem-solving in physics is highlighted throughout the exchange.
Dynamite
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Is there a difference between the "law of conservation of energy" and "law of conservation of kinetic energy?" If so what is it?

and what IS the law of conservation of kinetic energy? It doesn't seem to be in my textbook or on the net..
 
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That's because it doesn't exist. Kinetic energy is not conserved. Two blobs of equal mass hit at equal velocity and stick together. The resulting blob has no kinetic energy. Poof. Kinetic energy all gone.
 
o dear. sigh. I have a lot more to worry about now
thanks
 
Here is an example of the conservation of energy.

Say a bomb explodes. Initially, the bomb has chemical energy. When it explodes, the types of energy present are heat,light and sound. But energy neither made or destroyed, so it had to come from the chemical energy.
So applying the law of conservation of energy, you'd say that
Chemical energy -> heat+light+sound

For kinetic energy. If two bodies collide and kinetic energy is conserved, then the kinetic energy before impact =kinetic energy after impact. Kinetic energy is conserved in elastic collisions.
 
ok ok hold on, my question here is though
I have 2 carts with springs at the back of them and I've pushed them together and realeased
Then in order to prove that energy has been conserved, I'd need to calculate the elastic potential energy right..?
 
Yes. Total energy is conserved. The initial elastic potential energy must equal the final kinetic energy.
 
o goodness. Yes I DO have a lot more to worry about.
Which means I need to find the spring constant.
What does the K mean? in F=k delta x ? Is there a way I can find x with info only about force? I'm not sure I even have k...
 
Dynamite said:
o goodness. Yes I DO have a lot more to worry about.
Which means I need to find the spring constant.
What does the K mean? in F=k delta x ? Is there a way I can find x with info only about force? I'm not sure I even have k...


The K is the spring constant. In F=kx, F= force, x=displacement, and k=the spring constant
 
Dynamite said:
o goodness. Yes I DO have a lot more to worry about.
Which means I need to find the spring constant.
What does the K mean? in F=k delta x ? Is there a way I can find x with info only about force? I'm not sure I even have k...

I think you'd better state the full problem you are working on.
 
  • #10
Hahaha. On the Standardize test last year, they actually have that as the right answer. (because the other answers definitely didn't make sense at all). Heh.k is known as the string coefficient. It is a constant that every spring has. Think of it this way...

IF I were to pull on a slinky..it would be pretty easy to stretch it. So the k value would be small. If I were to pull a car spring (made of steel and all), I wouldn't be able to do it. So the k value would be big.

It is essentially a value that take into account how tough your spring is..and adjust the force necc to stretch it appropriately.

Spring constant are usually given. In some situations, you might set up a conservation of energy (PE --> KE or vice versa) to solve for k...then calculate x, F (which ever is not known)

In reality, you can prob look up the K value online or in some physics handbook if you are doing a lab and need that value
 
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