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Dua buah benda memiliki massa yang sama 3 kg tersusun seperti gambar. Besar gravitasi yang timbul di titik P adalah ...

Dua buah benda memiliki massa yang sama 3 kg tersusun seperti gambar. Besar gravitasi yang timbul di titik P adalah ...

  1. begin mathsize 14px style 5 comma 00 square root of 3 space cross times 10 to the power of negative 11 end exponent space ms to the power of negative 2 end exponent end style 

  2. begin mathsize 14px style 4 comma 25 square root of 3 space cross times 10 to the power of negative 11 end exponent space ms to the power of negative 2 end exponent end style 

  3. begin mathsize 14px style 2 comma 25 square root of 3 space cross times 10 to the power of negative 11 end exponent space ms to the power of negative 2 end exponent end style 

  4. begin mathsize 14px style 1 comma 25 square root of 3 space cross times 10 to the power of negative 11 end exponent space ms to the power of negative 2 end exponent end style 

  5. begin mathsize 14px style 3 comma 75 square root of 3 space cross times 10 to the power of negative 11 end exponent space ms to the power of negative 2 end exponent end style 

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E. Marcheline

Master Teacher

Mahasiswa/Alumni Universitas Sanata Dharma Yogyakarta

Jawaban terverifikasi

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Pembahasan

Diketahui: Ditanya: besar gravitasi di titik P Jawab: Titik P mengalami gravitasi yang berasal dari m 1 dan m 2 . Karena massa m 1 dan m 2 sama, dan jarak antaram 1 dan m 2 ke titik P sama, maka besar gravitasi g 1 dan g 2 juga sama besar ( g ). Jadi, jawaban yang tepat adalah A.

Diketahui:

begin mathsize 14px style m subscript 1 equals m subscript 2 equals 3 space kg R equals space 2 space straight m double-struck G equals 6 comma 67 space cross times 10 to the power of negative 11 end exponent space straight N times straight m squared divided by kg squared straight theta equals 60 degree end style 

Ditanya: besar gravitasi di titik P

Jawab:

Titik P mengalami gravitasi yang berasal dari m1 dan m2. Karena massa m1 dan m2 sama, dan jarak antara m1 dan m2 ke titik P sama, maka besar gravitasi g1 dan g2 juga sama besar (g).

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row g equals cell double-struck G m over R squared end cell row blank equals cell 6 comma 67 cross times 10 to the power of negative 11 end exponent 3 over 2 squared end cell row blank equals cell fraction numerator 20 comma 01 cross times 10 to the power of negative 11 end exponent over denominator 4 end fraction end cell row blank equals cell 5 comma 00 cross times 10 to the power of negative 11 end exponent space bevelled straight m over straight s squared end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell g subscript P end cell equals cell square root of g subscript 1 squared plus g subscript 2 squared plus 2 times g subscript 1 times g subscript 2 times cos theta end root end cell row blank equals cell square root of g squared plus g squared plus 2 times g times g times cos theta end root end cell row blank equals cell square root of 2 g squared plus 2 times g squared times cos theta end root end cell row blank equals cell square root of 2 open parentheses 5 cross times 10 to the power of negative 11 end exponent close parentheses squared plus 2 times open parentheses 5 cross times 10 to the power of negative 11 end exponent close parentheses squared times cos space 60 end root end cell row blank equals cell square root of 2 times 25 cross times 10 to the power of negative 22 end exponent plus 2 times 25 cross times 10 to the power of negative 22 end exponent times 1 half end root end cell row blank equals cell square root of 50 cross times 10 to the power of negative 22 end exponent plus 25 cross times 10 to the power of negative 22 end exponent end root end cell row blank equals cell square root of 75 cross times 10 to the power of negative 22 end exponent end root end cell row blank equals cell 5 square root of 3 cross times 10 to the power of negative 11 end exponent space bevelled straight m over straight s squared end cell end table end style
    
Jadi, jawaban yang tepat adalah A.

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