Question

If the distance between the two objects increases 5 times the gravitational force becomes_________ times​

Answer 1

Answer:

Let gravitational force between the objects be F. When r is increased by 5 times, let m1 be increased by k times to maintain the same gravitational force between the objects. Solving the above equation, we get k=25. Thus the mass of one of the objects would have to be increased 25 times.

Answer 2

Answer:

Given,

Distance increased twice.

Gravitational force,F=GM

r

2

m

where m and r is variable.

If r increase to twice, keeping F= constant.

F=GM

(2r)

2

m

′

GM

r

2

m

=GM

4r

2

m

′

m

′

=4m

Hence, one mass increase to four times.

Explanation:

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