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Percepatan gravitasi pada permukaan bumi adalah 10 . Massa planet Mars dibandingkan dengan bumi 0,2 dan jari-jarinya 0,5. Percepatan gravitasi yang dialami suatu benda pada permukaan Mars adalah.....

Percepatan gravitasi pada permukaan bumi adalah 10 begin mathsize 14px style straight m divided by straight s squared end style. Massa planet Mars dibandingkan dengan bumi 0,2 dan jari-jarinya 0,5. Percepatan gravitasi yang dialami suatu benda pada permukaan Mars adalah..... 

  1. begin mathsize 14px style straight m divided by straight s squared end style 

  2. begin mathsize 14px style straight m divided by straight s squared end style 

  3. begin mathsize 14px style straight m divided by straight s squared end style 

  4. 10 begin mathsize 14px style straight m divided by straight s squared end style 

  5. 12 begin mathsize 14px style straight m divided by straight s squared end style 

Jawaban:

Untuk mencari Percepatan Gravitasi planet, digunakan persamaan :

begin mathsize 14px style bold italic g bold space bold equals bold space bold italic G bold space bold italic m over bold italic r to the power of bold 2 end style 

maka didapatkan perhitungan dengan melakukan perbandingan sebagai berikut :

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell bold italic g subscript bold italic B bold italic u bold italic m bold italic i end subscript over bold italic g subscript bold italic M bold italic a bold italic r bold italic s end subscript bold space end cell bold equals cell bold space fraction numerator bold italic G bold space begin display style bold italic m subscript bold italic B bold italic u bold italic m bold italic i end subscript over bold italic r subscript bold italic B bold italic u bold italic m bold italic i end subscript to the power of bold 2 end style over denominator bold italic G bold space begin display style bold italic m subscript bold italic M bold italic a bold italic r bold italic s end subscript over bold italic r subscript bold italic M bold italic a bold italic r bold italic s end subscript to the power of bold 2 end style end fraction end cell row cell g subscript B over g subscript M space end cell equals cell space m subscript B over r subscript B squared space cross times space fraction numerator begin display style r subscript M squared end style over denominator begin display style m subscript M end style end fraction end cell row cell fraction numerator 10 space straight m divided by straight s squared over denominator g subscript M end fraction space end cell equals cell space straight m over straight r squared space cross times space fraction numerator begin display style open parentheses 0 comma 5 straight r close parentheses squared end style over denominator begin display style 0 comma 2 straight m end style end fraction end cell row cell fraction numerator 10 space straight m divided by straight s squared over denominator g subscript M end fraction space end cell equals cell space fraction numerator straight m space times space 0 comma 25 straight r squared over denominator straight r squared space times space 0 comma 2 straight m end fraction end cell row cell fraction numerator 10 space straight m divided by straight s squared over denominator g subscript M end fraction space end cell equals cell space fraction numerator 0 comma 25 over denominator 0 comma 2 end fraction end cell row cell g subscript M space end cell equals cell space fraction numerator 10 space straight m divided by straight s squared space cross times space 0 comma 2 over denominator 0 comma 25 end fraction end cell row cell bold italic g subscript bold italic M bold space end cell bold equals cell bold space bold 8 bold space bold m bold divided by bold s to the power of bold 2 end cell end table end style   

Sehingga didapatkan percepatan gravitasi yang dialami suatu benda pada permukaan Mars adalah begin mathsize 14px style bold 8 bold space bold m bold divided by bold s to the power of bold 2 end style.

 

Jadi, jawaban yang tepat adalah C.

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