Tiga buah benda yang disusun seperti gambar di bawah: Jika G=6,67×10−11 Nm2/kg2 maka besar gaya gravitasi yang dialami benda m1?

Pertanyaan

Tiga buah benda yang disusun seperti gambar di bawah:



Jika begin mathsize 14px style G equals 6 comma 67 cross times 10 to the power of negative 11 end exponent space text Nm end text squared text /kg end text squared end style maka besar gaya gravitasi yang dialami benda m1?

  1. ....undefined 

  2. ....undefined 

O. Salu

Master Teacher

Mahasiswa/Alumni Universitas Sam Ratulangi

Jawaban terverifikasi

Jawaban

besar gaya gravitasi yang dialami benda 1 adalah begin mathsize 14px style bold 70 bold comma bold 4 bold cross times bold 10 to the power of bold minus bold 7 end exponent end style N.

Pembahasan

Besar gaya gravitasi benda 1 dipengaruhi benda 2

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 fraction numerator open parentheses 6 comma 67 cross times 10 to the power of negative 11 end exponent close parentheses open parentheses 50 close parentheses open parentheses 25 close parentheses over denominator open parentheses 15 cross times 10 to the power of negative 2 end exponent close parentheses squared end fraction end cell row blank equals cell fraction numerator 8337 comma 5 cross times 10 to the power of negative 11 end exponent over denominator 225 cross times 10 to the power of negative 4 end exponent end fraction end cell row blank equals cell 37 comma 05 cross times 10 to the power of negative 7 end exponent space text N end text end cell end table end style 

Besar gaya gravitasi benda 1 dipengaruhi benda 3

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 fraction numerator left parenthesis 6 comma 67 cross times 10 to the power of negative 11 end exponent right parenthesis left parenthesis 50 right parenthesis left parenthesis 10 right parenthesis over denominator blank end fraction end cell row blank equals cell fraction numerator 3335 cross times 10 to the power of negative 11 end exponent over denominator 10 to the power of negative 2 end exponent end fraction end cell row blank equals cell 3335 cross times 10 to the power of negative 9 end exponent space text N end text end cell row blank equals cell 33 comma 35 cross times 10 to the power of negative 7 end exponent text N end text end cell end table end style 

Besar resultan gaya gravitasi

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell F subscript 1 end cell equals cell F subscript 12 plus F subscript 13 end cell row blank equals cell 37 comma 05 cross times 10 to the power of negative 7 end exponent plus 33 comma 35 cross times 10 to the power of 7 end cell row blank equals cell 70 comma 4 cross times 10 to the power of negative 7 end exponent space text N end text end cell end table end style 

Jadi, besar gaya gravitasi yang dialami benda 1 adalah begin mathsize 14px style bold 70 bold comma bold 4 bold cross times bold 10 to the power of bold minus bold 7 end exponent end style N.

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Dua benda masing-masing bermassa 6 kg dan 3 kg dan kedua benda terpisah sejauh 3 m. Jika tetapan gravitasi umum 6,67×10−11 Nm2/kg2, maka gaya gravitasi antara kedua benda tersebut adalah ...

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