Proof Change of kinetic energy in collision

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Homework Help Overview

The discussion revolves around the change of kinetic energy during a collision, specifically seeking to prove that kinetic energy is lost for both particles involved. The original poster presents an equation related to kinetic energy change and introduces the concept of reduced mass.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need for additional equations, such as the conservation of momentum, to support the analysis of kinetic energy changes. There are attempts to define initial and final kinetic energies, but specifics are not provided.

Discussion Status

The discussion is ongoing, with participants exploring the relationship between kinetic energy and momentum in collisions. Some guidance has been offered regarding the use of conservation laws, but no consensus has been reached on the proof itself.

Contextual Notes

There is a mention of the need for correct application of the conservation of momentum principle, indicating that assumptions about the collision dynamics are under consideration.

Meigara.Juma
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Homework Statement



Give equation change of kinetic energy in collision :
Q = 1/2 μ v2 (1-e2)

Proof that for both energy kinetic of particle is loss after the collision?

Homework Equations



e = (V2 finish - V1 finish) / (V1 initial - V2 initial)
μ = reduced mass = (m1.m2) / (m1+m2)
v = v1inital - v2initial

The Attempt at a Solution



k1init = ...
k2init = ...
k1finish = ...
k2finish = ...
 
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Meigara.Juma said:
e = (V2 finish - V1 finish) / (V1 initial - V2 initial)

Besides the above you need another equation

i.e.

conservation of momentum.
 
grzz said:
Besides the above you need another equation

i.e.

conservation of momentum.

I just only had that equation.
 
The principle of conservation of momentum is obeyed in every collision ( if used correctly!) and so can always be used just like 'f = ma' for example.
 

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