Question

3. Calculate the force of attraction between two bodies with their mass is 100 kg each and they are 1m apart on the surface of the earth. Will the force of attraction be different if the same bodies are taken on the moon, their separation remaining constant.​

Answer 1

Answer:

The force of attraction between two bodies with their mass is 100 kg each and they are 1m 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

• 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   $m_{1} =100kg,m_{2}=100$

separation between them $r=1m$

⇒

the gravitational force,

$F=\frac{6.6*10^{-11}*100*100 }{1^{2} } =6.6*10^{-7} N$

the force in the moon is the same, that is

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