Electrons - Relativistic velocity addition

  • #1
electrons -- Relativistic velocity addition...

Homework Statement



an observer measures the velocity of two electrons, finding one with a speed c/2 in the x direction and the other c/2 in the y direction. what is the relative speed of the two electrons.



Homework Equations





The Attempt at a Solution



Im not sure if this is right it seemed to easy.

but suppose that electron 1 is called b and the other a

then v(b)= √(c2/4+c2/4)
since they are at right angles to each other. is this right?
 

Answers and Replies

  • #2
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The velocities are very high, you need to use special relativity here.
 
  • #3
phinds
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Homework Statement



an observer measures the velocity of two electrons, finding one with a speed c/2 in the x direction and the other c/2 in the y direction. what is the relative speed of the two electrons.



Homework Equations





The Attempt at a Solution



Im not sure if this is right it seemed to easy.

but suppose that electron 1 is called b and the other a

then v(b)= √(c2/4+c2/4)
since they are at right angles to each other. is this right?

No. That is a non-relativistic velocity-addition and would give you the right answer for a speeding bullet on Earth but NOT for things traveling at relativistic speeds.

Google relativistic velocity addition
 
  • #4


The velocities are very high, you need to use special relativity here.

No. That is a non-relativistic velocity-addition and would give you the right answer for a speeding bullet on Earth but NOT for things traveling at relativistic speeds.

Google relativistic velocity addition

oh yeah that makes sense ok cool thanks.
 
  • #5


How did you go with the rest of the assignment =P
 

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