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Tabel berikut adalah data massa (M), rerata jari-jari planet (r), jaraknya terhadap matahari (R), dan periode revolusi terhadap matahari (T). Semua data dibandingkan terhadap bumi. Dari data terseb

Tabel berikut adalah data massa (M), rerata jari-jari planet (r), jaraknya terhadap matahari (R), dan periode revolusi terhadap matahari (T). Semua data dibandingkan terhadap bumi.

Dari data tersebut dapat disimpulkan . . . .

  1. percepatan gravitasi begin mathsize 14px style g subscript b u m i end subscript italic space less than italic space g subscript m a r s end subscript end style 
  2. percepatan gravitasi begin mathsize 14px style g subscript v e n u s end subscript italic space greater than italic space g subscript m e r k u r i u s end subscript end style 
  3. kecepatan orbit mars > kecepatan orbit bumi
  4. Kecepatan orbit bumi > kecepatan orbit marsundefined

Pernyataan yang tepat adalah . . . .undefined

  1. 1, 2, dan 3undefined

  2. 1 dan 3undefined

  3. 2 dan 4undefined

  4. 4 sajaundefined

  5. 1, 2, 3, dan 4undefined

Jawaban:

Untuk menentukan pernyataan yang benar, maka dapat dilakukan pembuktian sebagai berikut.

  1. Percepatan gravitasi begin mathsize 14px style g subscript b u m i end subscript space less than space g subscript m a r s end subscript end style (salah)

    begin mathsize 14px style g subscript b u m i end subscript italic space equals italic space G italic space. italic space M subscript b u m i end subscript over r subscript b u m i end subscript to the power of italic 2 italic space italic equals italic space g subscript b u m i end subscript g subscript m a r s end subscript italic space equals italic space G italic space. italic space M subscript m a r s end subscript over r subscript m a r s end subscript to the power of italic 2 italic space equals italic space G space. italic space fraction numerator italic 0 italic comma italic 11 italic space italic. italic space M subscript b u m i end subscript over denominator italic left parenthesis italic 0 italic comma italic 53 italic space italic. italic space r subscript b u m i end subscript italic right parenthesis to the power of italic 2 end fraction italic space equals space 0 comma 39 italic space g subscript b u m i end subscript end style   
     
  2. Percepatan gravitasi begin mathsize 14px style g subscript v e n u s end subscript space greater than space g subscript m e r k u r i u s end subscript end style (benar)

    begin mathsize 14px style g subscript v e n u s end subscript italic space equals italic space G italic space italic. italic space M subscript v e n u s end subscript over r subscript v e n u s end subscript to the power of italic 2 italic space equals italic space G italic space italic. italic space fraction numerator italic 0 italic comma italic 82 italic space italic. italic space M subscript b u m i end subscript over denominator begin italic style left parenthesis 0 comma 95 space. space r subscript b u m i end subscript right parenthesis end style to the power of italic 2 end fraction italic space equals space 0 comma 91 italic space g subscript b u m i end subscript g subscript m e r k u r i u s end subscript italic space equals italic space G italic space italic. italic space M subscript m e r k u r i u s end subscript over r subscript m e r k u r i u s end subscript to the power of italic 2 italic space equals italic space G space. space fraction numerator italic 0 italic comma italic 05 italic space italic. italic space M subscript b u m i end subscript over denominator begin italic style left parenthesis 0 comma 38 space. space r subscript b u m i end subscript right parenthesis end style to the power of italic 2 end fraction italic space equals space 0 comma 35 italic space g subscript b u m i end subscript end style 
     
  3. Kecepatan orbit mars > kecepatan orbit bumi (salah)

    undefined 
     
  4. Kecepatan orbit bumi > kecepatan orbit mars (benar)

     begin mathsize 14px style v subscript m a r s end subscript space equals space square root of fraction numerator G space. space M subscript m a r s end subscript over denominator r subscript m a r s end subscript end fraction end root space equals space square root of fraction numerator G space. space 0 comma 11 space. space M subscript b u m i end subscript over denominator 0 comma 53 space. space r subscript b u m i end subscript end fraction end root space equals space 0 comma 46 space square root of fraction numerator G italic space. space M subscript b u m i end subscript over denominator r subscript b u m i end subscript end fraction end root space equals space 0 comma 46 italic space v subscript b u m i end subscript space v subscript b u m i end subscript space equals space square root of fraction numerator G space. space M subscript b u m i end subscript over denominator r subscript b u m i end subscript end fraction end root space space equals space v subscript b u m i end subscript space space end style 

Jadi, jawaban yang benar adalah C.begin mathsize 14px style space space end style 

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