Astrophysics
  • Astrophysics
Twin paradox halpp
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Astrophysics
  • Astrophysics
So there's two twins A and B. A goes to alpha centauri which is 4 light years away and then comes back so makes a round trip. A is travelling at 0.6c respect to earth both ways, and then transmits a radio signal every 0.01 year in his frame. The twin B also sends a signal every 0.01 years in his own rest frame. So how many signals emitted by A before he turns around does B receive, and how many signals does A receive before he turns around.
Astrophysics
  • Astrophysics
every time I aska question anonymous user comes get out making me lag
imqwerty
  • imqwerty
xD

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Kainui
  • Kainui
you're the only person I know of that has this problem lol
Astrophysics
  • Astrophysics
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ganeshie8
  • ganeshie8
this problem reminds me of doctor who 3rd season
Astrophysics
  • Astrophysics
Ok so..signals emitted by A before he turns around does B receive this is worded so grossly but ok. First thing first calculating the length to alpha centauri from earth note that this is measured by B.. which is just 4 ly in like meters which is 3.78*10^16m, now the time taken for trip measured by B to reach alpha centauri is \[T_b = \frac{ 3.78 \times 10^16m }{ 0.6 c } = 6.67 years\] so we just divide this by 0.01 for numbers of singals sent from by A, which is 667 and then the signals received by B from A is \[\frac{ N_a }{ 1.25 } = 533\] so that's that one, hope my thinking is straight
Astrophysics
  • Astrophysics
Oh I forgot to say that 1.25 came from \[\gamma = \frac{ 1 }{ \sqrt{1-\left( \frac{ 0.6c }{ c } \right)^2} }\]
Astrophysics
  • Astrophysics
The answer in the back confirms with my answer, but I want to know if I'm thinking about it correctly
Astrophysics
  • Astrophysics
omgggggg
Astrophysics
  • Astrophysics
Just realized we're dealing with a signal and I should then be dealing with just c for velocity since the signal is travelling at the speed of light
Astrophysics
  • Astrophysics
Nvm I think that looks alright
Astrophysics
  • Astrophysics
Now to figure out how many A recieves before A turns around
Astrophysics
  • Astrophysics
Ok I'll figure this out haha.
Astrophysics
  • Astrophysics
You can use doppler effect for the next part as the signals are shifted, nice. Since the signals are shifted and then apply a transformation via gamma.
Astrophysics
  • Astrophysics
lorentz factor gamma what ever xd

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