The distance between the two objects must be [tex]6.57\cdot 10^{-6} m[/tex]
Explanation:
Using the GUESS method:
G: The given information are
[tex]m_1 = m_2 = 8 kg[/tex] is the mass of the two objects
F = 99 N is the gravitational force between the two objects
U: The unknown information is:
r = ? the distance between the two objects
E: equation
The equation to use is the equation that gives the gravitational force between two objects:
[tex]F=G\frac{m_1 m_2}{r^2}[/tex]
where
[tex]G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}[/tex] is the gravitational constant
S: Substitution
We now re-arrange the equation and substitute the given values to find r:
[tex]r=\sqrt{\frac{Gm_1m_2}{F}}=\sqrt{\frac{(6.67\cdot 10^{-11})(8)(8)}{99}}[/tex]
S: solving
By plugging the values into the calculator, we get
[tex]r=6.57\cdot 10^{-6} m[/tex]
Learn more about gravitational force:
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