Calculating Relative Speed of Body Parts After Internal Explosion

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Homework Help Overview

The problem involves a body composed of two parts, m1 and m2, which is split by an internal explosion generating kinetic energy K. The focus is on calculating the relative speed of the two parts after the explosion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the implications of momentum conservation in the context of an internal explosion and the meaning of relative speed between the two parts. There is mention of expressing kinetic energy in terms of the final speeds of the parts.

Discussion Status

The discussion is active, with participants exploring the relationship between kinetic energy and momentum conservation. Some guidance has been offered regarding the initial conditions of the problem, particularly the implications of an internal explosion.

Contextual Notes

There is a suggestion that the problem may involve assumptions about the system's isolation and the nature of the explosion, but these have not been fully clarified or resolved.

r162
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Homework Statement


A body m1 + m2 is split into 2 part m1 and m2 by internal explosion which generate kinetic energy K. If they move in the same line after explosion, show the speed of one part relative to the other part is Square root of ( 2K(m1+m2)/m1m2)


Homework Equations





The Attempt at a Solution

 
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Do you need the solution? Or guide lines. The first thing that you should think when it says internal is ΔP=0.

Also what really caught my attention is the relative to the other part means..
 
You know the kinetic energy is K, which you can express in terms of the final speeds of the two parts. Since no external force is present, momentum must be conserved. Now you have two equations and two unknowns; the system of equations should now be easy to solve.
 
thx so much
 

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