what happens to the force of gravitation between two objects if the masses of both is doubled how does the force of gravitation change when the distance between two object is reduced into half

Open in App

Solution

Dear Student ,
According to Newton's Law of Gravitation ,the force between two objects of mass M and m respectively and if R be the distance between their centres then
$F_{G r a v i t a t i o n} = \frac{G M m}{R^{2}}$
Now when the masses are doubled then , M' =2M and m'= 2m , then the force due to gravitation is ,
$F'_{G r a v i t a t i o n} = \frac{G M' m'}{R^{2}} = \frac{4 G M m}{R^{2}} = 4 F_{G r a v i t a t i o n}$
Again when the distance between them is doubled then , R' = 2R , then the force due to gravitation is ,

$F "_{G r a v i t a t i o n} = \frac{G M m}{R'^{2}} = \frac{G M m}{4 R^{2}} = \frac{F_{G r a v i t a t i o n}}{4}$
Regards

Suggest Corrections

Similar questions

How does the gravitational force change between two objects when the distance between them is doubled ?

Join BYJU'S Learning Program