Question

the gravitational force between two objects is F Newton. If the gravitational force acting between them is doubled, find the ratio of original distance to the new distance​

Answer 1

Answer:

If the distance between two objects is doubled the gravitational force becomes one fourth since,

F=G

R

2

m

1

×m

2

Where R is the diatnce between the bodies .

So , if R

′

=2R , then

F

′

=G

R

′2

m

1

×m

2

F

′

=G

4×R

2

m

1

×m

2

=

4

F

Answer 2

Answer:

So as two objects are separated from each other, the force of gravitational attraction between them also decreases. If the separation distance between two objects is doubled (increased by a factor of 2), then the force of gravitational attraction is decreased by a factor of 4 (2 raised to the second power).