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Pertanyaan

Suatu planet dengan massa 2 × 1 0 9 kg berada 4 × 1 0 6 m dari satelit. Berapakah perbandingan r1 dan r2nya ya yang mempunyai massa 8 × 1 0 6 kg .Tentukan gaya gravitasi antara planet tersebut dengan satelitnya!

Suatu planet dengan massa  berada  dari satelit. Berapakah perbandingan r1 dan r2nya ya yang mempunyai massa . Tentukan gaya gravitasi antara planet tersebut dengan satelitnya!

  1. (...) 

  2. (...) 

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M. Ardini

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

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Pembahasan

Diketahui: Ditanya: Jawab

Diketahui:
begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell m subscript 1 end cell equals cell 2 cross times 10 to the power of 9 space kg end cell row cell m subscript 2 end cell equals cell 8 cross times 10 to the power of 6 space kg end cell row cell r space end cell equals cell space 4 cross times 10 to the power of 6 space straight m end cell row cell G space end cell equals cell space 6 comma 7 cross times 10 to the power of negative 11 end exponent Nm squared over kg squared end cell row blank blank blank end table end style 

Ditanya:
begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell R subscript 1 colon R subscript 2 end cell equals ? row cell F space end cell equals cell space ? end cell end table end style 

Jawab

table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px rho subscript size 14px 1 end cell size 14px equals cell size 14px rho subscript size 14px 2 end cell row cell size 14px m subscript size 14px 1 over size 14px V subscript size 14px 1 end cell size 14px equals cell size 14px m subscript size 14px 2 over size 14px V subscript size 14px 2 end cell row cell size 14px m subscript size 14px 1 over size 14px m subscript size 14px 2 end cell size 14px equals cell size 14px V subscript size 14px 1 over size 14px V subscript size 14px 2 end cell row cell size 14px m subscript size 14px 1 over size 14px m subscript size 14px 2 end cell size 14px equals cell fraction numerator begin mathsize 14px display style 4 over 3 R subscript 1 cubed end style over denominator begin mathsize 14px display style 4 over 3 R subscript 2 cubed end style end fraction end cell row cell fraction numerator begin mathsize 14px display style R subscript 1 cubed end style over denominator begin mathsize 14px display style R subscript 2 cubed end style end fraction end cell size 14px equals cell size 14px m subscript size 14px 1 over size 14px m subscript size 14px 2 end cell row cell fraction numerator begin mathsize 14px display style R subscript 1 end style over denominator begin mathsize 14px display style R subscript 2 end style end fraction end cell size 14px equals cell root index size 14px 3 of size 14px m subscript size 14px 1 over size 14px m subscript size 14px 2 end root end cell row cell fraction numerator begin mathsize 14px display style R subscript 1 end style over denominator begin mathsize 14px display style R subscript 2 end style end fraction end cell size 14px equals cell root index size 14px 3 of fraction numerator size 14px 2 size 14px cross times size 14px 10 to the power of size 14px 9 over denominator size 14px 8 size 14px cross times size 14px 10 to the power of size 14px 6 end fraction end root size 14px equals fraction numerator size 14px 1259 size 14px comma size 14px 9 over denominator size 14px 200 end fraction size 14px almost equal to size 14px 63 over size 14px 10 end cell row blank blank blank end table 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell F space end cell equals cell space G fraction numerator m subscript 1 times m subscript 2 over denominator r squared end fraction end cell row blank equals cell 6 comma 7 cross times 10 to the power of negative 11 end exponent fraction numerator 2 cross times 10 to the power of 9 times 8 cross times 10 to the power of 6 over denominator left parenthesis 4 cross times 10 to the power of 6 right parenthesis squared end fraction end cell row blank equals cell 26 comma 8 cross times 10 to the power of negative 8 end exponent space straight N end cell end table end style 

198

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