Elastic and inelstic collisions conceptual questions.

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SUMMARY

The discussion focuses on the conceptual understanding of elastic and inelastic collisions, specifically in the context of a homework problem involving momentum and energy conservation. Key equations include the conservation of momentum (P_initial = P_final) and the conservation of energy (KE_initial = KE_final + Q), where Q represents energy lost or gained. Participants emphasize that without specific mass or velocity data, it is impossible to definitively categorize the collisions as elastic or inelastic. The discussion highlights that a collision is inelastic if any kinetic energy is lost, and it explores the concept of "perfectly inelastic" collisions.

PREREQUISITES
  • Understanding of conservation of momentum and energy principles
  • Familiarity with kinetic energy calculations
  • Basic knowledge of collision types: elastic and inelastic
  • Concept of entropy in physical processes
NEXT STEPS
  • Study the differences between elastic and inelastic collisions in detail
  • Learn about perfectly inelastic collisions and their implications
  • Explore the role of entropy in thermodynamics and its relation to collisions
  • Investigate real-world examples of elastic and inelastic collisions
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Students studying physics, particularly those focusing on mechanics and collision theory, as well as educators looking for insights into teaching these concepts effectively.

R_moor
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Homework Statement


The questions showed in the pictures ask me whether the collisions in the drawings could be elastic or inelastic, I am not given any mass, the angles are a little vague but I think B and C are supposed to be π/2 and π respectively. For velocity, I am just given the direction and somewhat the magnitude but no numbers. Also the dot represents where the particles collided.

Homework Equations


Conservation of momentum: P_initial = P_final
Conservation of energy: KE initial = KE energy final + Q
Q is just the energy lost or gained during the collision.

The Attempt at a Solution


So far I think that all of them could be elastic and inelastic as without any information of the initial state of the system I can't know whether we are loosing some kinetic energy or not. The problem is I'm not sure whether my reasoning is correct as I am not sure how can I prove this. Any help to reason out the correct answer would be very appreciated.
 

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There is a very easy way to think about 1d: "backwards".
 
1f is somewhat problematic. A collision is inelastic if any KE is lost, no matter how little. Consequently, if a diagram depicts an elastic collision, the same diagram could work for inelastic, however slightly.
My guess is that for 1f you are supposed to consider whether it could have been "perfectly inelastic". That means, as much KE was lost as is consistent with conservation of momentum, no friction, point masses (so no rotation) and non-penetration (they cannot pass through each other).
 
haruspex said:
There is a very easy way to think about 1d: "backwards".
Sorry I'm not sure what you mean by working it backwards. Could you explain a little more please
 
R_moor said:
Sorry I'm not sure what you mean by working it backwards. Could you explain a little more please
A feature of elastic collisions is no change in entropy. The process is in principle reversible, i.e., you can run time backwards to recreate the initial condition. Just reverse the arrows. What does it remain to check?
 
haruspex said:
A feature of elastic collisions is no change in entropy. The process is in principle reversible, i.e., you can run time backwards to recreate the initial condition. Just reverse the arrows. What does it remain to check?
Sorry for late reply, Thanks for the help !
 
R_moor said:
Sorry for late reply, Thanks for the help !
Does this mean you have answered the question?
Were you able to answer my question at the end of post #5?
 

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