Elastic collision

  • #1
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Homework Statement



A body of mass, m makes a head on perfectly elastic collision with a body of mass, M initially at rest. Show that

[tex]\frac{\triangle E}{E_o}=\frac{4(\frac{M}{m})}{(1+\frac{M}{m})^2}[/tex]

Homework Equations





The Attempt at a Solution



Momentum: [tex]mu_1=mv_1+Mv_2[/tex]

[tex]\triangle E= \frac{1}{2}mv_1^2+\frac{1}{2}Mv_2^2-\frac{1}{2}mu_1^2[/tex]
 

Answers and Replies

  • #2
Borek
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A body of mass, m makes a head on perfectly elastic collision with a body of mass, M initially at rest.

[tex]\triangle E= \frac{1}{2}mv_1^2+\frac{1}{2}Mv_2^2-\frac{1}{2}mu_1^2[/tex]

If collision is ellastic, delta E as defined (final minus initial, right?) should equal zero.

Or am I missing something?
 
  • #3
438
0
If collision is ellastic, delta E as defined (final minus initial, right?) should equal zero.

Or am I missing something?

Thanks Borek! Exactly, i think it's meant to be inellastic collision. I'll give it a try.
 

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