Question

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

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Answer 1

Answer:

1) As Force is directly proportional to the mass of each object, the force will be doubled. 2) d is doubled, Force will become 1/4th as Force is inversely proportional to the square of distance.

Explanation:

(i) If the mass of one of the objects is doubled, then the force of gravity between them is doubled. If the mass of one of the objects is tripled, then the force of gravity between them is tripled. If the mass of both of the objects is doubled, then the force of gravity between them is quadrupled; and so on.

(ii) If the distance between the two objects is doubled, then Thus, the gravitational force between the two objects becomes one-fourth. If the distance between the two objects is tripled, then Thus, the gravitational force between the two objects becomes one-ninth.

(iii) From the relationship, (i) If the mass of one object (say body 1) is doubled, then Thus, the gravitational force between the two objects gets doubled. ... (iii) If the masses of both the objects are doubled, then Thus, the gravitational force between the two objects becomes 4 times.

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Answer 2

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What happens to the force between two objects, if

(i) the mass of one object is doubled?

(ii) the distance between the objects is doubled and tripled?

(iii) the masses of both objects are doubled?

${\huge{\purple{\underline{\underline{\bf{\pink{\mathfrak{Answer}}}}}}}}$

• If the mass of one object is doubled, the force of gravitation will also increase as the gravitational force is directly proportional to the mass of the object.

• If the distance between two objects is doubled or tripled, the the force of gravitation will decrease as the gravitational force is inversely proportional to the square of the distance between them.

• If the mass of both the objects is doubled and are also the same, then they will attract each other having 0 as net force and due to attraction, the may collapse. But if even after doubling the masses of both objects, one object is having greater mass, then the body will higher mass will attract the body of lower mass towards it.

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