Respuesta :

Answer:

system A has more gravitational force

Explanation:

From the given information:

[tex]\left[\begin{array}{cccc}sys&mass_1&mass_2&distance\\A&30&40&100\\B&10&20&200\end{array}\right][/tex]

According to Newton's universal law of gravitation ,

[tex]F_{g} \alpha M_{1}M_{2}//F_{g} \alpha \frac{1}{r^2}[/tex]

Where [tex]M_1,M_2[/tex] are the masses of the bodies having the force of attraction and [tex]r[/tex] is the distance between them .

Thus ,

  • SYSTEM A :

[tex]F_A \alpha\frac{30*40}{100^2}\\ F_A=12k[/tex]

  • SYSTEM B :

[tex]F_B \alpha\frac{10*20}{200^2}\\ F_B=0.5k[/tex]

Thus ,

[tex]F_A\geq F_B[/tex]

And [tex]k\neq 0[/tex] ;

ANSWER : system A has more gravitational force.