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Berapakah momentum relativistik sebuah elektron (massa diam =  kg) yang sedang bergerak dengan kelajuan 0,80 c?

Pertanyaan

Berapakah momentum relativistik sebuah elektron (massa diam = begin mathsize 14px style 9 comma 1 space cross times space 10 to the power of negative 31 end exponent end style kg) yang sedang bergerak dengan kelajuan 0,80 c?begin mathsize 14px style space space end style

  1. begin mathsize 14px style... end style 

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Pembahasan Soal:

Diketahui :

begin mathsize 14px style m subscript o italic space equals space 9 comma 1 space cross times space 10 to the power of negative 3 end exponent space kg v italic space equals space 0 comma 80 italic space c end style 

Untuk mencari momentum relativistik, maka dapat ditentukan menggunakan persamaan sebagai berikut.

begin mathsize 14px style p space equals space m space. space v p space equals space fraction numerator m subscript o space. space v over denominator square root of 1 space minus space begin display style v to the power of italic 2 over c to the power of italic 2 end style end root end fraction p space equals space fraction numerator 9 comma 1 space. space 10 to the power of negative 31 end exponent space. space 0 comma 80 space. space 3 space. space 10 to the power of 8 over denominator square root of 1 space minus space begin display style open parentheses 0 comma 80 space straight c close parentheses squared over straight c squared end style end root end fraction p space equals space fraction numerator 21 comma 84 space. space 10 to the power of negative 23 end exponent over denominator square root of 1 space minus space begin display style fraction numerator 0 comma 64 space straight c squared over denominator straight c squared end fraction end style end root end fraction p space equals space fraction numerator 21 comma 84 space. space 10 to the power of negative 23 end exponent over denominator square root of 0 comma 36 end root end fraction p space equals space fraction numerator 21 comma 84 space. space 10 to the power of negative 23 end exponent over denominator 0 comma 6 end fraction p space equals space 36 comma 4 space. space 10 to the power of negative 23 end exponent space straight N. straight s end style 

Jadi, momentum relativistik elektron yang sedang bergerak adalah begin mathsize 14px style bold 36 bold comma bold 4 bold space bold. bold space bold 10 to the power of bold minus bold 23 end exponent bold space bold N bold. bold s end style 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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