Roboguru

Sebuah partikel meluruh dalam waktu  ketika dalam keadaan diam. Bila partikel tersebut bergerak menempuh jarak 60 meter sebelum meluruh, maka kecepatan partikel tersebut kira-kira ... m/s.

Pertanyaan

Sebuah partikel meluruh dalam waktu begin mathsize 14px style 10 to the power of negative 7 end exponent space detik end style ketika dalam keadaan diam. Bila partikel tersebut bergerak menempuh jarak 60 meter sebelum meluruh, maka kecepatan partikel tersebut kira-kira ... m/s.space

  1. begin mathsize 14px style fraction numerator 1 over denominator square root of 5 end fraction cross times 10 to the power of 8 end style 

  2. begin mathsize 14px style fraction numerator 2 over denominator square root of 5 end fraction cross times 10 to the power of 8 end style 

  3. begin mathsize 14px style fraction numerator 4 over denominator square root of 5 end fraction cross times 10 to the power of 8 end style 

  4. begin mathsize 14px style fraction numerator 6 over denominator square root of 5 end fraction cross times 10 to the power of 8 end style 

  5. begin mathsize 14px style fraction numerator 6 over denominator square root of 6 end fraction cross times 10 to the power of 8 end style 

Pembahasan Soal:

Diketahui :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell increment t subscript o end cell equals cell 10 to the power of negative 7 end exponent space detik end cell row S equals cell 60 italic space straight m end cell end table end style 

Ditanya :

v =....?

Jawab :

Waktu untuk menempuh suatu jarak :

begin mathsize 14px style increment t equals S over v end style 

Waktu relativistik :

begin mathsize 14px style increment t equals fraction numerator increment t subscript o over denominator square root of 1 minus open parentheses begin display style v over c end style close parentheses squared end root end fraction end style 

Kedua rumus kita samakan :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell S over v end cell equals cell fraction numerator increment t subscript o over denominator square root of 1 minus open parentheses begin display style v over c end style close parentheses squared end root end fraction end cell row cell 60 over v end cell equals cell fraction numerator 10 to the power of negative 7 end exponent over denominator square root of 1 minus open parentheses begin display style v over c end style close parentheses squared end root end fraction end cell row cell 60 squared over v squared end cell equals cell fraction numerator 10 to the power of negative 14 end exponent over denominator 1 minus open parentheses begin display style v over c end style close parentheses squared end fraction end cell row cell 60 squared over v squared open parentheses 1 minus open parentheses v over c close parentheses squared close parentheses end cell equals cell 10 to the power of negative 14 end exponent end cell row cell 60 squared over v squared minus 60 squared over c squared end cell equals cell 10 to the power of negative 14 end exponent end cell row cell 60 squared over v squared minus fraction numerator 3600 over denominator 9 cross times 10 to the power of 16 end fraction end cell equals cell 10 to the power of negative 14 end exponent end cell row cell 60 squared over v squared minus 4 cross times 10 to the power of negative 14 end exponent end cell equals cell 10 to the power of negative 14 end exponent end cell row cell 60 squared over v squared end cell equals cell 10 to the power of negative 14 end exponent plus 4 cross times 10 to the power of negative 14 end exponent end cell row cell 60 squared over v squared end cell equals cell 5 cross times 10 to the power of negative 14 end exponent end cell row cell v squared end cell equals cell fraction numerator 60 squared over denominator 5 cross times 10 to the power of negative 14 end exponent end fraction end cell row v equals cell fraction numerator 60 over denominator square root of 5 cross times 10 to the power of negative 7 end exponent end fraction end cell row v equals cell fraction numerator 60 over denominator square root of 5 end fraction cross times 10 to the power of 7 end cell row v equals cell fraction numerator 6 over denominator square root of 5 end fraction cross times 10 to the power of 8 space straight m divided by straight s end cell end table end style 

Jadi, jawaban yang tepat adalah D.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 27 Juli 2021

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