Calculating Relative Speed of Body Parts After Internal Explosion

[r162]

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

 

[paul232]

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..

 

[ideasrule]

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.

 

[r162]

thx so much