Question

How can you say the distance between the object inversely proportional to the Gravitation force between them?
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Answer 1

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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 Mmr^2 So, if Distance is halved, i.e new r = r2 So, New F = G Mm r^22^2 F = 4G Mmr^2 So, Force of gravitation increases by 4 times when distance reduced by

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

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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 dista…

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Answer 2

Answer:

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

Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. So as two objects are separated from each other, the force of gravitational attraction between them also decreases. 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). If the separation distance between any two objects is tripled (increased by a factor of 3), then the force of gravitational attraction is decreased by a factor of 9 (3 raised to the second power).