Question

Calculate the force of attraction between two bodies, each of mass
200 kg and 2 m apart on the surface of the Earth. Will the force
of attraction be different, if the same bodies are placed on the
moon, keeping the separation same?

Answer 1

F = 13348 N
a slight difference might be noted but all and all it can be neglected because the gravitational pull on the moon is quite dull 

Answer 2

Answer:

The force of attraction between two bodies with their mass is 200 kg each and they are 2m apart on the surface of the earth is $F=6.6*10^{-7} N$ Now the force of attraction, if the same arrangement is taken on the moon is the same, that is $F=6.6*10^{-7} N$

Explanation:

• The gravitational force is the interaction between two objects with mass separated by a distance  

• If two bodies with masses $m_{1} ,m_{2}$  are separated by a distance $r$, the force between them is   $F=G\frac{m_{1} m_{2} }{r^{2} }$

        where $G=6.6*10^{-11} Nm^{2} kg^{-2}$

• In the moon, only the weight of the body changes due to the change in acceleration due to gravity, but gravitational force remains the same since masses and distance are the same

From the question, we have

the masses are   $m_{1} =200kg,m_{2}=200$

separation between them $r=2m$

⇒

the gravitational force,

$F=\frac{6.6*10^{-11}*200*200 }{2^{2} } =6.6*10^{-7} N$

the force in the moon is the same, that is

$F=6.6*10^{-7} N$