Roboguru

Pertanyaan

Perhatikan 2 vektor di bawah ini!

Besar resultan kedua vektor tersebut adalah ....

  1. begin mathsize 14px style square root of 113 space straight m end style 

  2. begin mathsize 14px style square root of 123 space straight m end style 

  3. begin mathsize 14px style square root of 175 space straight m end style 

  4. begin mathsize 14px style square root of 200 space straight m end style 

  5. begin mathsize 14px style square root of 217 space straight m end style 

D. Kusumawardhani

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.            

Pembahasan

Diketahui:

begin mathsize 14px style vertical line A with rightwards arrow on top vertical line equals fraction numerator 9 over denominator square root of 3 end fraction equals fraction numerator 9 over denominator square root of 3 end fraction cross times fraction numerator square root of 3 over denominator square root of 3 end fraction equals 3 square root of 3 space straight m vertical line B with rightwards arrow on top vertical line equals 10 space straight m theta equals 30 degree end style

Ditanya:
Resultan vektor?  


Resultan vektor dapat dihitung dengan persamaan

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dengan A dan B adalah besar vektor pertama dan kedua, dan θ adalah sudut yang diapit kedua vektor, maka resultan kedua vektor tersebut adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell vertical line R with rightwards arrow on top vertical line end cell equals cell square root of vertical line A with rightwards arrow on top vertical line squared plus vertical line B with rightwards arrow on top vertical line squared plus 2 vertical line A with rightwards arrow on top vertical line vertical line B with rightwards arrow on top vertical line left parenthesis cos space 30 degree right parenthesis end root end cell row cell vertical line R with rightwards arrow on top vertical line end cell equals cell square root of left parenthesis 3 square root of 3 right parenthesis squared plus left parenthesis 10 right parenthesis squared plus up diagonal strike 2 left parenthesis 3 square root of 3 right parenthesis left parenthesis 10 right parenthesis open parentheses fraction numerator 1 over denominator up diagonal strike 2 end fraction square root of 3 close parentheses end root end cell row cell vertical line R with rightwards arrow on top vertical line end cell equals cell square root of 27 plus 100 plus left parenthesis 3 square root of 3 right parenthesis left parenthesis 10 right parenthesis left parenthesis square root of 3 right parenthesis end root end cell row cell vertical line R with rightwards arrow on top vertical line end cell equals cell square root of 127 plus 90 end root end cell row cell vertical line R with rightwards arrow on top vertical line end cell equals cell square root of 217 blank straight m end cell end table end style   

Jadi, jawaban yang tepat adalah E.            

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