Roboguru

Tiga buah benda , , dan  terpisah pada titik-titik segitiga sama kaki. Besar gaya gravitasi yang dialami oleh  adalah ...

Pertanyaan

Tiga buah benda begin mathsize 14px style m subscript 1 equals 6 comma 67 cross times 10 to the power of 5 space kg end stylesize 14px m subscript size 14px 2 size 14px equals size 14px 4 size 14px cross times size 14px 10 to the power of size 14px 6 size 14px space size 14px kg, dan size 14px m subscript 3 size 14px equals size 14px 4 size 14px cross times size 14px 10 to the power of size 14px 6 size 14px space size 14px kg terpisah pada titik-titik segitiga sama kaki. Besar gaya gravitasi yang dialami oleh begin mathsize 14px style m subscript 1 end style adalah ... 

  1. (...) 

  2. (...) 

Pembahasan Soal:

Diketahui:
begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell m subscript 1 end cell equals cell 6 comma 67 times 10 to the power of 5 space kg end cell row cell m subscript 2 end cell equals cell m subscript 3 equals space 4 times 10 to the power of 6 space kg end cell row cell r subscript 12 end cell equals cell r subscript 13 equals 6 comma 67 space straight m end cell row theta equals cell 120 degree end cell end table end style 

begin mathsize 14px style G space equals space 6 comma 67 times 10 to the power of negative 11 end exponent fraction numerator straight N times straight m squared over denominator kg squared end fraction end style 

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

Jawab

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell F space end cell equals cell space fraction numerator G times m times M over denominator r squared end fraction end cell row cell F subscript 12 end cell equals cell F subscript 13 equals fraction numerator G times m times M over denominator r squared end fraction end cell row blank equals cell fraction numerator 6 comma 67 cross times 10 to the power of negative 11 end exponent times 4 cross times 10 to the power of 6 times 6 comma 67 cross times 10 to the power of 5 over denominator 6 comma 67 squared end fraction end cell row blank equals cell 4 space straight N end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell F subscript 1 end cell equals cell square root of F subscript 12 blank squared plus F subscript 13 blank squared plus 2 times F blank subscript 12 times F blank subscript 13 times cos left parenthesis 120 right parenthesis end root end cell row blank equals cell square root of 4 blank squared plus 4 blank squared plus 2 times 4 times 4 times left parenthesis negative 1 half right parenthesis end root end cell row blank equals cell square root of 16 plus 16 minus 16 end root end cell row blank equals cell square root of 16 end cell row blank equals cell space 4 space straight N end cell end table end style 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 19 Mei 2021

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