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Sebuah pesawat antariksa bergerak secara relativis...

Sebuah pesawat antariksa bergerak secara relativistik dan pada suatu saat energi kinetiknya adalah begin mathsize 14px style 1 over 12 end style kali energi diamnya. Laju pesawat pada saat itu adalah ...

  1. begin mathsize 14px style 5 over 13 c end style 

  2. begin mathsize 14px style 5 over 12 c end style 

  3. begin mathsize 14px style 7 over 12 c end style 

  4. begin mathsize 14px style 7 over 13 c end style 

  5. begin mathsize 14px style 12 over 13 c end style 

Jawaban:

begin mathsize 14px style E k equals 1 over 12 E subscript 0  E subscript t o t end subscript equals E subscript 0 plus E k space space space space space space space equals E subscript 0 plus 1 over 12 E subscript 0 space space space space space space space equals 12 over 12 E subscript 0 plus 1 over 12 E subscript 0 space space space space space space space equals 13 over 12 E subscript 0  E subscript t o t end subscript equals 13 over 12 E subscript 0 m c squared equals 13 over 12 m subscript 0 c squared m equals 13 over 12 m subscript 0 fraction numerator m subscript 0 over denominator square root of 1 minus begin display style v squared over c squared end style end root end fraction equals 13 over 12 m subscript 0 fraction numerator 1 over denominator square root of 1 minus begin display style v squared over c squared end style end root end fraction equals 13 over 12 square root of 1 minus v squared over c squared end root equals 12 over 13 1 minus v squared over c squared equals 144 over 169 fraction numerator 169 minus 144 over denominator 169 end fraction equals v squared over c squared 25 over 169 equals v squared over c squared 5 over 13 equals v over c v equals 5 over 13 c  end style 

Jadi, jawaban yang benar adalah A.

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