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Seorang astronot beratnya di bumi adalah 800 N. Ji...

Seorang astronot beratnya di bumi adalah 800 N. Jika astronot sedang berada di suatu planet yang massa planet tersebut 2 kali massa bumi dan jari-jarinya sama dengan dua kali jari-jari bumi maka berat astronot tersebut di planet adalah..

  1. 200 N

  2. tetap

  3. 3200 N

  4. 400 N

  5. 1600 N

Jawaban:

Diketahui:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell w subscript b end cell equals cell 800 space straight N end cell row cell m subscript p end cell equals cell 2 m subscript b end cell row cell r subscript p end cell equals cell 2 r subscript b end cell end table end style 

Ditanya: begin mathsize 14px style w subscript p equals... ? end style

Pembahasan:

Gunakan Gaya Gravitasi Newton

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row w equals cell fraction numerator G m m over denominator r squared end fraction end cell row cell w subscript p over w subscript b end cell equals cell fraction numerator begin display style fraction numerator G m subscript A times m subscript p over denominator r subscript p squared end fraction end style over denominator begin display style fraction numerator G m subscript A times m subscript b over denominator r subscript b squared end fraction end style end fraction end cell row cell w subscript p over w subscript b end cell equals cell fraction numerator begin display style m subscript p over r squared subscript p end style over denominator begin display style m subscript b over r squared subscript b end style end fraction end cell row cell w subscript p over w subscript b end cell equals cell fraction numerator m subscript p cross times r squared subscript b over denominator m subscript b cross times r squared subscript p end fraction end cell row cell w subscript p over 800 end cell equals cell fraction numerator 2 m subscript b cross times r squared subscript b over denominator left parenthesis 2 r subscript b right parenthesis squared cross times m subscript b end fraction end cell row cell w subscript p over 800 end cell equals cell fraction numerator 2 m subscript b times r squared subscript b over denominator 4 m subscript b times r squared subscript b end fraction end cell row cell w subscript p end cell equals cell 1 half cross times 800 end cell row cell w subscript p end cell equals cell 400 space straight N end cell end table end style 

Sehingga jawaban yang tepat adalah D

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