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Pertanyaan

Di permukaan Bumi sebuah benda mengalami percepatan gravitasi sebesar begin mathsize 14px style 10 space straight m divided by straight s squared end style. Jika benda dipindahkan ke Planet X dimana massa Planet X sama dengan setengah kali massa Bumi dan jari- jari Planet X sama dengan dua kali jari-jari Bumi, maka percepatan gravitasi yang dialami benda pada permukaan Planet X adalah...space

  1. begin mathsize 14px style 1 comma 25 space straight m divided by straight s squared end style 

  2. begin mathsize 14px style 2 comma 50 space straight m divided by straight s squared end style 

  3. begin mathsize 14px style 4 comma 50 space straight m divided by straight s squared end style 

  4. begin mathsize 14px style 4 comma 90 space straight m divided by straight s squared end style 

  5. begin mathsize 14px style 5 comma 00 space straight m divided by straight s squared end style 

Y. Cahya

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Diketahui :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell g subscript B end cell equals cell 10 space straight m divided by straight s squared space end cell row cell M subscript B end cell equals M row cell R subscript B end cell equals R row cell M subscript X end cell equals cell 1 half M subscript B end cell row cell R subscript X end cell equals cell 2 R end cell end table end style  

Ditanya :

begin mathsize 14px style g subscript X equals.... ? end style 

Jawab :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell g subscript B over g subscript X end cell equals cell fraction numerator begin display style fraction numerator G M subscript B over denominator R subscript B superscript 2 end fraction end style over denominator fraction numerator G M subscript X over denominator R subscript X superscript 2 end fraction end fraction end cell row cell g subscript B over g subscript X end cell equals cell fraction numerator begin display style fraction numerator M subscript B over denominator R subscript B superscript 2 end fraction end style over denominator fraction numerator M subscript X over denominator R subscript X superscript 2 end fraction end fraction end cell row cell g subscript B over g subscript X end cell equals cell fraction numerator M subscript B R subscript X superscript 2 over denominator M subscript X R subscript B superscript 2 end fraction end cell row cell 10 over g subscript X end cell equals cell fraction numerator M open parentheses 2 R close parentheses squared over denominator begin display style 1 half end style M open parentheses R close parentheses squared end fraction end cell row cell 10 over g subscript X end cell equals cell fraction numerator M open parentheses begin display style 4 R squared end style close parentheses over denominator begin display style 1 half M open parentheses R close parentheses squared end style end fraction end cell row cell 10 over g subscript X end cell equals cell 8 over 1 end cell row cell g subscript X end cell equals cell 1 comma 25 space straight m divided by straight s squared end cell end table end style 

Jadi, jawaban yang tepat adalah A.

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Besar percepatan gravitasi di permukaan bumi adalah 10 m/s2. Besar percepatan gravitasi di suatu tempat 2R dari permukaan bumi adalah ...

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