Theory of relativity

  • Thread starter Pual Black
  • Start date
  • #1
92
1

Homework Statement


show that ## V\prime=\sqrt{ V_{x}^\prime{ ^2} + V_{y}^\prime{ ^2} + V_{z}^\prime{ ^2}} = c## -------------1


Homework Equations


##V_{x}^\prime{ ^2}=\frac{V_x - V }{1-{\frac{V V_x}{c^2}}}## -----------------2

##V_{y}^\prime{ ^2}=\frac{V_y \sqrt{1-{\frac{V^2}{c^2}}}}{1-{\frac{V V_x}{c^2}}}## ------------3

##V_{z}^\prime{ ^2}=\frac{V_z \sqrt{1-{\frac{V^2}{c^2}}}}{1-{\frac{V V_x}{c^2}}}## -----------4

The Attempt at a Solution



i tried to just substitute the 3 equations (2,3,4) in eq. 1 but i didnt get the right answer
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Answers and Replies

  • #2
Simon Bridge
Science Advisor
Homework Helper
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There's not enough information. Usually there is some sort of context since, in general, the magnitude of the 3-velocity is not c.
Work through in order - starting from the full problem statement.
 
  • #3
92
1
Ok thank you for your answer. I must collect some more information and will post my results if i get some
 

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