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Planet Q memiliki jari-jari rata-rata 4 kali jari-...

Planet Q memiliki jari-jari rata-rata 4 kali jari-jari rata-rata Bumi. Adapun percepatan gravitasinya adalah 1/4 kali percepatan gravitasi Bumi. Jika massa Bumi sebesar m, maka massa planet Q sebesar ...undefined 

Jawaban:

Diketahui :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell R subscript Q end cell equals cell 4 R subscript B end cell row cell g subscript Q end cell equals cell bevelled 1 fourth g subscript B end cell row cell M subscript B end cell equals m end table end style 

Ditanya : begin mathsize 14px style M subscript Q end style ?

Jawab : 

Massa planet Q dapat dicari dengan perbandingan rumus percepatan gravitasi bumi dengan percepatan gravitasi planet Q.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell g subscript Q over g subscript B end cell equals cell fraction numerator G begin display style M subscript Q over R subscript Q squared end style over denominator G begin display style M subscript B over R subscript B squared end style end fraction end cell row cell g subscript Q over g subscript B end cell equals cell fraction numerator begin display style M subscript Q R subscript B squared end style over denominator begin display style M subscript B R subscript Q squared end style end fraction end cell row cell fraction numerator begin display style bevelled fraction numerator 1 over denominator 4 space end fraction end style g subscript B over denominator g subscript B end fraction end cell equals cell fraction numerator begin display style M subscript Q R subscript B squared end style over denominator begin display style m. open parentheses 4 R subscript B close parentheses squared end style end fraction end cell row cell fraction numerator begin display style 1 end style over denominator 4 end fraction end cell equals cell fraction numerator begin display style M subscript Q end style over denominator begin display style 16 m end style end fraction end cell row cell M subscript Q end cell equals cell fraction numerator 16 m over denominator 4 end fraction end cell row cell M subscript Q end cell equals cell 4 m end cell end table end style 

Jadi, massa planet Q sebesar 4m.

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