Question

When distance between two objects is decreased by d times, the gravitational force between them increases 4 times. The value of d is.

Explane in detail.​

Answer 1

Answer:

The force of gravitation between two objects is inversely proportional to the square of the distance between them therefore the gravity will become four times if distance between them is reduced to half.

Answer 2

Answer:

We know that According to the law of gravitation, the force between any two objects of mass M and m is directly proportional to their masses and inversely proportional to the square of the distance between them.

F=G

r

2

Mm

So, if Distance is halved, i.e new r=

2

r

So, New F=G

2

2

r

2

Mm

⇒F=4G

r

2

Mm

So, Force of gravitation increases by 4 times when distance reduced by half

Explanation:

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