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Pada suatu bujur sangkar yang memiliki panjang sisi 10 cm diletakkan tiga buah benda titik pada tiga titik sudutnya. Massa tiap titik benda adalah 4 kg. Besar gaya gravitasi pada sebuah benda bermassa 0,5 kg yang diletakkan pada titik sudut yang kosong adalah ....

Pertanyaan

Pada suatu bujur sangkar yang memiliki panjang sisi 10 cm diletakkan tiga buah benda titik pada tiga titik sudutnya. Massa tiap titik benda adalah 4 kg. Besar gaya gravitasi pada sebuah benda bermassa 0,5 kg yang diletakkan pada titik sudut yang kosong adalah .... begin mathsize 14px style blank to the power of blank end style

  1. ... begin mathsize 14px style blank to the power of blank end style

  2. ... begin mathsize 14px style blank to the power of blank end style

Pembahasan Video:

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row a equals cell 10 space cm end cell row cell m subscript 1 end cell equals cell m subscript 2 equals m subscript 3 equals 4 space kg end cell row cell m subscript 4 end cell equals cell 0 comma 5 space kg end cell end table end style 

Ditanya: begin mathsize 14px style F subscript 4 equals... end style

begin mathsize 14px style F subscript 41 equals G fraction numerator m subscript 4 m subscript 1 over denominator r subscript 41 squared end fraction equals G 2 over r squared F subscript 42 equals G fraction numerator m subscript 4 m subscript 2 over denominator r squared end fraction equals G 2 over left parenthesis square root of 2 r right parenthesis squared equals G over r squared F subscript 43 equals G fraction numerator m subscript 4 m subscript 3 over denominator r squared end fraction equals G 2 over r squared end style 

Sumbu x

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell F subscript x end cell equals cell F subscript 42 cos 45 plus F subscript 41 end cell row blank equals cell G over r squared 1 half square root of 2 plus fraction numerator 2 G over denominator r squared end fraction end cell row blank equals cell G over r squared open parentheses 1 half square root of 2 plus 2 close parentheses end cell end table end style

Sumbu y

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell F subscript y end cell equals cell F subscript 42 sin 45 plus F subscript 43 end cell row blank equals cell G over r squared 1 half square root of 2 plus fraction numerator 2 G over denominator r squared end fraction end cell row blank equals cell G over r squared open parentheses 1 half square root of 2 plus 2 close parentheses end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell F subscript 4 end cell equals cell square root of F subscript x squared plus F subscript y squared end root end cell row blank equals cell square root of open parentheses G over r squared open parentheses 1 fourth square root of 2 plus 2 right parenthesis close parentheses close parentheses squared plus open parentheses G over r squared open parentheses 1 fourth square root of 2 plus 2 close parentheses close parentheses squared end root end cell row blank equals cell square root of 2 open parentheses G over r squared open parentheses 1 fourth square root of 2 plus 2 close parentheses close parentheses squared end root end cell row blank equals cell square root of 2 open parentheses G over r squared open parentheses 1 fourth square root of 2 plus 2 close parentheses close parentheses end cell row blank equals cell G over r squared open parentheses 1 half plus 2 square root of 2 close parentheses end cell end table end style begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell F subscript 4 end cell equals cell square root of F subscript x squared plus F subscript y squared end root end cell row blank equals cell square root of open parentheses G over r squared open parentheses 1 half square root of 2 plus 2 right parenthesis close parentheses close parentheses squared plus open parentheses G over r squared open parentheses 1 half square root of 2 plus 2 close parentheses close parentheses squared end root end cell row blank equals cell square root of 2 open parentheses G over r squared open parentheses 1 half square root of 2 plus 2 close parentheses close parentheses squared end root end cell row blank equals cell square root of 2 open parentheses G over r squared open parentheses 1 half square root of 2 plus 2 close parentheses close parentheses end cell row blank equals cell G over r squared open parentheses 1 plus 2 square root of 2 close parentheses end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell F subscript 4 end cell equals cell G over open parentheses 10 to the power of negative 1 end exponent close parentheses squared open parentheses 1 plus 2 square root of 2 close parentheses end cell row blank equals cell open parentheses 1 plus 2 square root of 2 close parentheses cross times 10 squared G end cell end table end style 

Jadi, besar gaya gravitasinya adalah Error converting from MathML to accessible text.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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