a relationship exists between gravity, mass, and distance. the greater the mass of the objects, the greater…

Answer:

B. two objects, each with a mass of 20 kg, separated by a distance of 10 m

Explanation:

Step1: Recall gravitational - force formula

The gravitational force formula is $F = G\frac{m_1m_2}{r^2}$, where $G$ is the gravitational constant, $m_1$ and $m_2$ are the masses of the two objects, and $r$ is the distance between them.

Step2: Analyze option A

For two objects each with $m = 10$ kg and $r = 10$ m, $F_A=G\frac{10\times10}{10^2}=G$.

Step3: Analyze option B

For two objects each with $m = 20$ kg and $r = 10$ m, $F_B=G\frac{20\times20}{10^2}=4G$.

Step4: Analyze option C

For two objects each with $m = 20$ kg and $r = 15$ m, $F_C=G\frac{20\times20}{15^2}=G\frac{400}{225}\approx1.78G$.

Step5: Analyze option D

For two objects each with $m = 10$ kg and $r = 15$ m, $F_D=G\frac{10\times10}{15^2}=G\frac{100}{225}\approx0.44G$. Since $F_B>F_C>F_A>F_D$, the pair in option B has the greatest gravitational force.