Solution
Force between pair of objects of masses 1kg and 2kg that are 1m apart is given as
[tex]F=G\times \frac{1\times 2}{1^2}[/tex]
here G is gravitational constant
G=[tex]6.674\times10^{-11}Nm^2kg^{-2}[/tex]
therefore,
[tex]F=6.674\times10^{-11}Nm^2kg^{-2}\times 2[/tex]
[tex]F=13.348\times10^{-11}Nm^2kg^{-2}[/tex]
similarly Force between pair of objects of masses 2kg each that are 1m apart is given as
[tex]F'=G\times \frac{2\times 2}{1^2}[/tex]
[tex]F'=6.674\times10^{-11}Nm^2kg^{-2}\times 4[/tex]
[tex]F'=2\times 13.348\times10^{-11}Nm^2kg^{-2}[/tex]
or F'=2F
it means Force between pair of objects of masses 2kg each that are 1m apart is equal to twice the Force between pair of objects of masses 1kg and 2kg that are 1m
