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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 1/4 kali percepatan gravitasi bumi. Jika massa bumi sebesar m, 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 space R subscript B end cell row cell g subscript Q end cell equals cell 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 :

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 fraction numerator begin display style 1 fourth end style g subscript B over denominator g subscript B end fraction end cell equals cell fraction numerator begin display style M subscript Q over left parenthesis 4 R subscript B right parenthesis squared end style over denominator begin display style m over R subscript B squared end style end fraction end cell row cell 1 fourth end cell equals cell fraction numerator M subscript Q over denominator 16 m 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 adalah 4m.

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