Sebuah satelit cuaca beratnya 200 N sedang mengeli...

Sebuah satelit cuaca beratnya 200 N sedang mengelilingi Bumi dengan orbit 2/3 R (R = jari-jari Bumi). Berat satelit jika di permukaan bumi adalah ... $undefined$

Jawaban:

Diketahui :

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell w subscript 2 end cell equals cell 200 space straight N end cell row cell R subscript 1 end cell equals R row cell R subscript 2 end cell equals cell 2 divided by 3 R end cell end table end style$

Ditanya : $begin mathsize 14px style w subscript 1 end style$ ?

Jawab :

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell w subscript 1 over w subscript 2 end cell equals cell fraction numerator m g subscript 1 over denominator m g subscript 2 end fraction end cell row cell w subscript 1 over w subscript 2 end cell equals cell fraction numerator G begin display style fraction numerator M m over denominator R subscript 1 squared end fraction end style over denominator G begin display style fraction numerator M m over denominator R subscript 2 squared end fraction end style end fraction end cell row cell w subscript 1 over w subscript 2 end cell equals cell fraction numerator begin display style R subscript 2 squared end style over denominator begin display style R subscript 1 squared end style end fraction end cell row cell fraction numerator w subscript 1 over denominator 200 space straight N end fraction end cell equals cell fraction numerator begin display style open parentheses R plus 2 divided by 3 R close parentheses squared end style over denominator begin display style R squared end style end fraction end cell row cell fraction numerator w subscript 1 over denominator 200 space straight N end fraction end cell equals cell fraction numerator begin display style open parentheses 5 divided by 3 R close parentheses squared end style over denominator begin display style R squared end style end fraction end cell row cell fraction numerator w subscript 1 over denominator 200 space straight N end fraction end cell equals cell fraction numerator begin display style 25 end style over denominator begin display style 9 end style end fraction end cell row cell w subscript 1 end cell equals cell fraction numerator 5000 space straight N over denominator 9 end fraction end cell row cell w subscript 1 end cell equals cell 555 comma 5 space straight N end cell row blank blank blank end table end style$

Jadi, berat satelit jika di permukaan bumi adalah 555,5 N.

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