What happens to the gravitational force between two objects, if the distance between them is doubled and everything else remains the same?
The force becomes one-fourth
Newton's Law of Universal Gravitation states: \(F = \dfrac{Gm_1m_2}{r^2}\). The force is inversely proportional to the square of the distance between the objects.
If the distance \(r\) is doubled to \(2r\), the new force is: \(F' = \dfrac{Gm_1m_2}{(2r)^2} = \dfrac{Gm_1m_2}{4r^2} = \dfrac{F}{4}\).
The gravitational force becomes one-fourth of its original value.
Important Questions from Gravity
Which of the following statement is correct?
I. Gravitation is a weak force unless large masses are involved.
II. The weight is equal to the product of mass and acceleration due to gravity.
The mass of the Earth is ________.
What is the reason that the value of g (acceleration due to gravity) becomes greater at the poles than at the equator?
If the acceleration due to gravity on the surface of earth is g, then the acceleration due to gravity on the surface of a planet whose mass is same as that of earth and radius is twice as that of earth is ___________.
A man's mass is 72 kg on the earth. His mass on the moon will be:
