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What happens to the force between two ob...

What happens to the force between two object, if
(i) the mass of one object is doubled ? (ii) the distance between the object is doubled and tripled?
(iii) the masses of both object are doubled?

Text Solution

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(i) The gravitational force between two objects is directly proportional to the product of masses of the two object .So if one of the objcts is doubled , then the force also gets doubled (it becomes 2 times ).
(ii) the gravitational force between two objects is inversely proporational to the square of distance between them.
(a) it the distance between two objects is doubled (made 2 times) the force becomes `(1/2)^(2) or 1/4` (one - fourth ) .
(b) it the distance between two objects is triped (made 2 times) the force becomes `(1/3)^(2) or 1/9` (one - ninth ) .
The gravitational force between two objects is directly proportional to the product of their masses. So, if the masses of both the objects are doubled (made 2 times each), the force between them will become `2 xx 2`= 4 times
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