The gravitational force between two objects is F. If masses of both objects are doubled and the distance between them is also doubled, then the gravitational force would become * F/4 4F F 6F
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Answer:
The gravitational force between two objects is F. If the masses of both objects are doubled and the distance between them is also doubled, then the gravitational force would be F itself.
Explanation:
By the universal law of gravitation, the force of attraction between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them. Mathematically,
F = G Mm / d²
'F' is the force of attraction
'G' is the universal gravitational constant
'M' and 'm' are the masses and 'd' is the distance of separation between them.
If masses are doubled, then the total mass will be (4 × Mm).
If the distance is doubled then d = 2d
⇒ F = G × (4 × Mm) / (2d)²
= 4GMm / 4d²
∴ F = G Mm / d²
So even if the masses are doubled the force remains the same by doubling the distance between the objects.