Question

Q3. The gravitational force between two objects is 100 N. How should the
distance between the objects can be changed so that force between
becomes a) 25 N and b) 400 N.​

Answer 1

Answer:

a 25 N

Explanation:

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Answer 2

Answer:

a)Distance should be doubled

b)Distance should be halfed (make 1/2 times the original)

Explanation:

Initial gravitational force=G×m1×m2/r²=100N

a)We know that,

25N=100N

Let the distance needed he x.

=>G×m1×m2/x²=25N=100N/4

=>G×m1×m2/x²=(G×m1×m2/r²)/4

=>1/x²=1/4r²

=>x=√4r²

=>x=2r.

Therefore, for the first case distance should be doubled.

b) For this case we can use the similar step but instead of 100N/4, take 100N×4 to find for 400N.