Question

if the distance between two body is increase by 25% than the percentage change into the gravitation force​

Answer 1

gravitational force is inversly proportional to square of distance

increase in 25 percent distance means increase of 1/4 part of the previous distance

so gravitational,force will decrease by,1/16,of the real value

percentage change =1/16 ×100

=6.25

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Answer 2

If distance is increased by 25% it means the new distance is,

r + 25r/100 = 5r/4

The gravitation force with previous distance,

g = GM/r²

With new increased distance,

g' = GM/r'²

g' = GM/(5r/4)²

g' = 16/25 x GM/r²

g' = 16g/25

Hence gravity will become 16/25.

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