Question

how does the force of gravitation between two objects change when the distance between them is reduced to half ​

Answer 1

Answer:

Explanation:

We know that According to the law of gravitation, the force between any two objects of mass M and m is directly proportional to their masses and inversely proportional to the square of the distance between them.

F=G  

r  

2

 

Mm

​

 

So, if Distance is halved, i.e new r=  

2

r

​

 

So, New F=G  

2  

2

 

r  

2

 

​

 

Mm

​

 

⇒F=4G  

r  

2

 

Mm

​

 

So, Force of gravitation increases by 4 times when distance reduced by half