Physics, asked by thejaswini23, 1 year ago

The gravitational force between 2 objects is F. How will the force change when the distance between them is reduced to 1/4th?

Answers

Answered by PriyaviKhandelwal
94
HeYa..!!!
here is Ur answer.....

We know, that the force of gravitation between two objects is inversely proportional to the square of distance between them.
That is, F∞1/r²
Now when the distance between two objects is reduced to 1/4tg that's is made ¼,then the force between them will become 16
i.e. (1/¼)²
= 16

thejaswini23: Can u explain through working
thejaswini23: Plss
PriyaviKhandelwal: how..?
thejaswini23: Through working
thejaswini23: ??
thejaswini23: Means not through writings ie explanation but through numbers
PriyaviKhandelwal: ok...
PriyaviKhandelwal: DM....
thejaswini23: Explain
Answered by dabest1202
48

Answer:

F = (G m1m2)/r2

Where m1m2 = the masses of the two bodies,

r = distance between them

G = gravitational Constant

When the distance is reduced to half i.e. r’ = (1/2) r then,

F’ = (G m1m2)/r2

= (G m1m2)/(r/2)2

= (4 G m1m2)/ (r2) = 4F

Therefore when the distance between the objects is reduced to half, then the force of gravitation increases by four times the original force.

Explanation:

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