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Berapakah percepatan gravitasi di planet Uranus jika massa planet itu 14,7 kali massa bumi dan jari-jarinya 4 kali jari-jari bumi? (Ambil nilai gravitasi bumi ).

Berapakah percepatan gravitasi di planet Uranus jika massa planet itu 14,7 kali massa bumi dan jari-jarinya 4 kali jari-jari bumi? (Ambil nilai gravitasi bumi begin mathsize 14px style 9 comma 8 space straight m divided by straight s squared end style).undefined

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Jawaban:

Diketahui :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell M subscript U end cell equals cell 14 comma 7 M subscript B end cell row cell R subscript U end cell equals cell 4 R subscript B end cell row cell g subscript B end cell equals cell 9 comma 8 space straight m divided by straight s squared end cell end table end style 

Ditanya :

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

Jawab :

Kita gunakan rumus percepatan gravitasi :

begin mathsize 14px style g equals fraction numerator G M over denominator R squared end fraction end style 

Kita gunakan perbandingan percepatan gravitasi di bumi dengan percepatan gravitasi di planet Uranus :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell g subscript B over g subscript U 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 begin display style fraction numerator G M subscript U over denominator R subscript U superscript 2 end fraction end style end fraction end cell row cell g subscript B over g subscript U 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 begin display style fraction numerator M subscript U over denominator R subscript U superscript 2 end fraction end style end fraction end cell row cell g subscript B over g subscript U end cell equals cell fraction numerator begin display style M subscript B R subscript U superscript 2 end style over denominator begin display style M subscript U R subscript B superscript 2 end style end fraction end cell row cell fraction numerator 9 comma 8 over denominator g subscript U end fraction end cell equals cell fraction numerator begin display style M subscript B open parentheses 4 R subscript B close parentheses squared end style over denominator begin display style open parentheses 14 comma 7 M subscript B close parentheses R subscript B superscript 2 end style end fraction end cell row cell fraction numerator 9 comma 8 over denominator g subscript U end fraction end cell equals cell fraction numerator begin display style M subscript B open parentheses 16 R subscript B superscript 2 close parentheses end style over denominator begin display style open parentheses 14 comma 7 M subscript B close parentheses R subscript B superscript 2 end style end fraction end cell row cell fraction numerator 9 comma 8 over denominator g subscript U end fraction end cell equals cell fraction numerator 16 over denominator 14 comma 7 end fraction end cell row cell g subscript U end cell equals cell fraction numerator 9 comma 8 cross times 14 comma 7 over denominator 16 end fraction end cell row cell g subscript U end cell equals cell 9 comma 0 space straight m divided by straight s squared end cell end table end style 

Jadi, percepatan gravitasi di planet Uranus begin mathsize 14px style bold 9 bold comma bold 0 bold space bold m bold divided by bold s to the power of bold 2 end style.

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