Question

How does the force of gravitation between two objects change when the distance between them is reduced to half ?​

Answer 1

Answer:

According to the law of gravitation, the force of attraction acting between two bodies is given by, Thus, when the distance between the objects is reduced to half the gravitational force increases by four times the original force.

Explanation:

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Answer 2

Answer:

According to universal law of gravitation, the force of attraction between 2 objects of mass M and m respectively is directly proportional to their masses and inversely proportional to the distance between these 2 objects.

The formal for the given is as follows:

$G\dfrac{Mm}{r^2}$ where r represents the distance between the objects.

As per the question, we have to find the no. of times of force of gravitation increases, when the distance between the object is halved.

When distance is halved = $\dfrac{r}{2}$

Substituting this value in the equation,

= F = GMm / (r/2)²

= F = $4G\dfrac{Mm}{r^2}$

Therefore, from the formula, we can say that when the distance between 2 objects is decreased, the force is increased by 4 times (quadrupled).

Knowledge Bytes:

→ The Universal Law of Gravitation stated by Newton says that the force of gravitation  between any two objects is directly proportional to the product of their masses and indirectly proportional to square of the distance between them.

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