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Tiga buah benda A, B, dan C membentuk segitiga sik...

Tiga buah benda A, B, dan C membentuk segitiga siku-siku seperti gambar berikut.

Tentukan besar gaya gravitasi pada benda B!

Jawaban:

Gaya BA:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell F subscript 1 end cell equals cell G fraction numerator M m over denominator r squared end fraction end cell row cell F subscript 1 end cell equals cell open parentheses 6 comma 67 cross times 10 to the power of negative 11 end exponent close parentheses fraction numerator open parentheses 1 close parentheses open parentheses 1 close parentheses over denominator open parentheses 1 close parentheses squared end fraction end cell row cell F subscript 1 end cell equals cell 6 comma 67 cross times 10 to the power of negative 11 end exponent space straight N end cell end table end style 

Gaya BC:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank F end table subscript 2 table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank G end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator M m over denominator r squared end fraction end cell end table F subscript 2 equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses 6 comma 67 cross times 10 to the power of negative 11 end exponent close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator open parentheses 1 close parentheses open parentheses 1 close parentheses over denominator open parentheses square root of 2 close parentheses squared end fraction end cell end table F subscript 2 equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 335 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cross times end table 10 to the power of negative 11 end exponent space table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight N end table end style   

Resultan gaya yang bekerja pada benda B:

F subscript B equals square root of open parentheses 6 comma 67 cross times 10 to the power of negative 11 end exponent close parentheses squared plus open parentheses 3 comma 335 cross times 10 to the power of negative 11 end exponent close parentheses squared plus 2 open parentheses 6 comma 67 cross times 10 to the power of negative 11 end exponent close parentheses open parentheses 3 comma 335 cross times 10 to the power of negative 11 end exponent close parentheses space cos space 45 degree end root F subscript B equals 9 comma 3 cross times 10 to the power of negative 11 end exponent space straight N  

Jadi, resultan gaya yang bekerja pada benda B adalah 9,3 × 10-11 N.

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