How Do Perfectly Inelastic Collisions Lead to Maximum Kinetic Energy Loss?

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Homework Help Overview

The discussion revolves around the concept of perfectly inelastic collisions and their relationship to kinetic energy loss. Participants are exploring the implications of momentum conservation in these types of collisions.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the relationship between momentum transfer and kinetic energy, particularly in the context of choosing a frame of reference. There is uncertainty about the implications of stationary bodies and how that affects energy calculations.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the concepts presented. Some guidance has been offered regarding the choice of frame of reference, but there is no explicit consensus on the calculations or the underlying principles at this stage.

Contextual Notes

There appears to be confusion regarding the necessity of calculations and the role of different frames of reference in analyzing perfectly inelastic collisions.

nothing123
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Is there a proof showing how perfectly inelastic collisions result in the maximum kinetic energy loss?

Thanks.
 
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nothing123 said:
Is there a proof showing how perfectly inelastic collisions result in the maximum kinetic energy loss?

Thanks.

Hi nothing123! :smile:

Well, "perfectly inelastic collision" means that the two final velocities are the same.

So we may as well chose that velocity as our frame of reference.

So the question for you to answer is: If two bodies are stationary, can any transfer of momentum between them (conserving momentum) decrease the energy? :smile:
 
Hi tiny-tim,

I'm not sure if I'm following exactly but are you suggesting that if there can be no more transfer of momentum between the objects in the system, it's at its lowest possible kinetic energy? What does the frame of reference have to do with it?

Thanks.
 
Hi nothing123! :smile:

We can use any frame of reference.

But it makes sense to choose whatever frame makes the calculation easier.

In this case, it seems to make sense to choose the frame of the final velocity.

But it will work in any frame!

Have a go! :smile:
 
Sorry, I'm not quite following...is there supposed to be a calculation that's made?
 

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