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Sebuah elektron yang mempunyai massa diam m0 berge...

Sebuah elektron yang mempunyai massa diam m0 bergerak dengan kecepatan 0,6c. Energi kinetik elektron tersebut adalah..... 

Jawaban:

Besarnya Energi Relativistik dihitung sebagai berikut :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell bold italic E subscript bold italic k bold space end cell bold equals cell bold space bold italic E bold space bold minus bold space bold italic E subscript bold 0 end cell row cell bold italic E subscript bold italic k bold space end cell bold equals cell bold space bold italic m bold italic c to the power of bold 2 bold space bold minus bold space bold italic m subscript bold 0 bold italic c to the power of bold 2 end cell row cell E subscript k space end cell equals cell space fraction numerator m subscript 0 c squared over denominator square root of 1 space minus space begin display style v squared over c squared end style end root end fraction space minus space m subscript 0 c squared end cell row cell E subscript k space end cell equals cell space fraction numerator m subscript 0 c squared over denominator square root of 1 space minus space begin display style open parentheses 0 comma 6 c close parentheses squared over c squared end style end root end fraction space minus space m subscript 0 c squared end cell row cell E subscript k space end cell equals cell space fraction numerator m subscript 0 c squared over denominator square root of 1 space minus space begin display style fraction numerator 0 comma 36 c squared over denominator c squared end fraction end style end root end fraction space minus space m subscript 0 c squared end cell row cell E subscript k space end cell equals cell space fraction numerator m subscript 0 c squared over denominator square root of 0 comma 64 end root end fraction space minus space m subscript 0 c squared end cell row cell E subscript k space end cell equals cell space fraction numerator m subscript 0 c squared over denominator 0 comma 8 end fraction space minus space m subscript 0 c squared end cell row cell E subscript k space end cell equals cell space m subscript 0 c squared space open parentheses fraction numerator 1 over denominator 0 comma 8 end fraction space minus space 1 close parentheses end cell row cell E subscript k space end cell equals cell space 1 fourth m subscript 0 c squared end cell row cell bold italic E subscript bold italic k bold space end cell bold equals cell bold space bold 1 over bold 4 bold italic E subscript bold 0 end cell end table end style 

Jadi, energi kinetik elektron tersebut adalah sebesar begin mathsize 14px style bold 1 over bold 4 bold italic E subscript bold 0 end style.

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