Jawaban:

Diketahui :

straight m subscript straight p space equals space 1 space kg straight m subscript straight R space equals space 4 space kg straight r subscript PR space equals space 6 space straight m straight m subscript straight s space equals space 2 space kg straight F subscript straight s space equals space 0

Ditanya :

rPS ?

DIjawab :

Gaya gravitasi adalah gaya tarik menarik antara dua benda yang saling didekatkan. Berikut persamaan gaya gravitasi:

straight F space equals space straight G fraction numerator straight M space straight m over denominator straight r squared end fraction

Supaya gaya gravitasi pada benda S bernilai nol, maka:

F subscript P S end subscript equals F subscript R S end subscript fraction numerator G m subscript P m subscript S over denominator r squared subscript P S end subscript end fraction equals fraction numerator G m subscript R m subscript S over denominator r squared subscript R S end subscript end fraction

Jika rPS = x, maka rRS = 6-x, sehingga:

begin mathsize 14px style m subscript P over r squared subscript P S end subscript equals m subscript R over r squared subscript R S end subscript m subscript P over x squared equals m subscript R over open parentheses 6 minus x close parentheses squared 1 over x squared equals 4 over open parentheses 6 minus x close parentheses squared 1 over x equals fraction numerator 2 over denominator open parentheses 6 minus x close parentheses end fraction 6 minus x space equals space 2 x 3 x equals 6 x equals 2 space straight m end style

Jadi, jarak pisah antara P dan S adalah 2 m.