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I expect the gravitational force between them will become

four times as great as it was originally.

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Vada Boyer

Lvl 13
2y ago
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14y ago

The gravitational force between two bodies is proportional to the product of the two masses. Original masses = 'A' and 'B' Original force = (konstant) times (A B) New masses = (A/2) and (2B) New force = (konstant) times (A/2)(2B) = (konstant) times (2AB/2) = (konstant) times (AB) = same as original. Note: The force is also inversely proportional to the square of the distance between their centers of mass. You only asked about changes in mass, so this work only considered the masses. The work, and the answer derived, assume that the distance between the bodies doesn't change.

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12y ago

According to the universal law

F=(Gm1m2)/R2

If we let

m1<m2 ;

then m1 will accelerate towards m2 with g and the force, F is then given by Newton's 2nd law as;

F=m1g

and

m1g=(Gm1m2)/R2

g=(Gm2)/R2

thus doubling m2 would double g

i.e. 2g=2(Gm2)/R2

the lighter body would accelerate at twice the initial acceleration by doubling m2, towards the heavier body. on the other hand it would descelerate by half if m1 was to be doubled.

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11y ago

The gravitational force will decrease to 0.125 = 1/8 = 12.5% of its original value.

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12y ago

I expect the gravitational force between them will become

four times as great as it was originally.

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Q: How does the gravitational force between 2 bodies changes if mass of one body is doubled but the distance between them remains same?
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