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Berapakah berat seseorang di planet Yupiter jika b...

Berapakah berat seseorang di planet Yupiter jika berat orang itu di bumi 800 N? Diketahui jari-jari planet Yupiter 11 kali jari-jari bumi dan massanya 318 kali massa bumi.

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Jawaban:

Diketahui :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell w subscript b u m i end subscript end cell equals cell 800 space N end cell row cell r subscript Y end cell equals cell 11 r subscript b u m i end subscript end cell row cell M subscript Y end cell equals cell 318 M subscript b u m i end subscript end cell end table end style 

Ditanya :

begin mathsize 14px style w subscript Y equals.... ? end style 

Jawab :

Kita gunakan rumus hubungan gaya berat dengan percepatan gravitasi w = mg.

Kita ingat lagi rumus percepatan gravitasi :

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

Selanjutnya kita bandingkan :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell w subscript b u m i end subscript over w subscript Y end cell equals cell fraction numerator begin display style fraction numerator G M subscript b u m i end subscript over denominator r subscript b u m i end subscript superscript 2 end fraction end style over denominator begin display style fraction numerator G M subscript Y over denominator r subscript Y superscript 2 end fraction end style end fraction end cell row cell w subscript b u m i end subscript over w subscript Y end cell equals cell fraction numerator begin display style fraction numerator M subscript b u m i end subscript over denominator r subscript b u m i end subscript superscript 2 end fraction end style over denominator begin display style fraction numerator M subscript Y over denominator r subscript Y superscript 2 end fraction end style end fraction end cell row cell w subscript b u m i end subscript over w subscript Y end cell equals cell fraction numerator begin display style M subscript b u m i end subscript r subscript Y superscript 2 end style over denominator begin display style M subscript Y r subscript b u m i end subscript superscript 2 end style end fraction end cell row cell w subscript b u m i end subscript over w subscript Y end cell equals cell fraction numerator begin display style M subscript b u m i end subscript open parentheses 11 r subscript b u m i end subscript close parentheses squared end style over denominator begin display style open parentheses 318 M subscript b u m i end subscript close parentheses r subscript b u m i end subscript superscript 2 end style end fraction end cell row cell 800 over w subscript Y end cell equals cell 11 squared over 318 end cell row cell w subscript Y end cell equals cell fraction numerator 800 cross times 318 over denominator 11 squared end fraction end cell row cell w subscript Y end cell equals cell fraction numerator 800 cross times 318 over denominator 121 end fraction end cell row cell w subscript Y end cell equals cell 2.102 comma 5 space straight N end cell end table end style 

Jadi, berat benda di planet Yupiter 2.102,5 N.

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