Question

The gravitational force between two objects is F. How will this force change when (a) The distance between them is doubled? (b) The mass of each object is reduced to half?​

Answer 1

Explanation: If the mass of both of the objects is doubled, then the force of gravity between them is quadrupled; and so on. ... If the separation distance between two objects is doubled (increased by a factor of 2), then the force of gravitational attraction is decreased by a factor of 4 (2 raised to the second power).

Answer 2

A) we know that G.F = GMm/ r2

So ,

F = GMm/ (2R)2
F= GMm/ 4r2

Ans = the force becomes F/4

B) let m1 = m1/2. And m2 = m2/2

Now,

F = GMm/r2
F= Gm1m2 / 4 *r2
F= 1/4

Ans= if each mass is reduced to half so the force becomes F/4


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