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Pada gambar berikut, tiga benda , , dan . Tentukan...

Pada gambar berikut, tiga benda begin mathsize 14px style m subscript 1 equals 10 space kg end style, begin mathsize 14px style m subscript 2 equals 20 space kg end style, dan begin mathsize 14px style m subscript 3 equals 30 space kg end style. Tentukanlah besarnya gaya gravitasi yang bekerja pada benda begin mathsize 14px style m subscript 1 end style karena pengaruh dari benda yang lainnya!

  1. ...space 

  2. ...undefined 

Jawaban:

G = konstanta gravitasi

Gaya gravitasi pada begin mathsize 14px style m subscript 1 end style oleh begin mathsize 14px style m subscript 2 end style:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell F subscript 12 end cell equals cell fraction numerator G m subscript 1 m subscript 2 over denominator r subscript 12 squared end fraction end cell row blank equals cell G fraction numerator open parentheses 10 close parentheses open parentheses 20 close parentheses over denominator 20 squared end fraction end cell row blank equals cell G over 2 end cell end table end style 

Gaya gravitasi pada begin mathsize 14px style m subscript 1 end style oleh begin mathsize 14px style m subscript 3 end style:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell F subscript 13 end cell equals cell fraction numerator G m subscript 1 m subscript 3 over denominator r subscript 13 squared end fraction end cell row blank equals cell G fraction numerator left parenthesis 10 right parenthesis left parenthesis 30 right parenthesis over denominator 20 squared end fraction end cell row blank equals cell fraction numerator 3 G over denominator 4 end fraction end cell end table end style 

Gaya gravitasi pada undefined oleh dua benda lainnya:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row F equals cell square root of F subscript 12 squared plus F subscript 13 squared end root end cell row blank equals cell square root of open parentheses G over 2 close parentheses squared plus open parentheses fraction numerator 3 G over denominator 4 end fraction close parentheses squared end root end cell row blank equals cell square root of G squared over 4 plus fraction numerator 9 G squared over denominator 16 end fraction end root end cell row blank equals cell square root of fraction numerator 4 G squared plus 9 G squared over denominator 16 end fraction end root end cell row blank equals cell square root of fraction numerator 13 G squared over denominator 16 end fraction end root end cell row blank equals cell G over 4 square root of 13 end cell end table end style 

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