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
Who among the following was the first to conclude that in vacuum all objects fall with the same acceleration g and reach the ground at the same time?
Who among the following is credited with postulating three laws of planetary motion?
When did Henry Cavendish report the measurement of the gravitational constant with the mass and density of the Earth?
Which of the following law states that, "The force between two objects is directly proportional to the product of their masses?"
Which of the following statements about the movement of planets is true?
A. A planet's orbit is elliptical with the Sun at one of two focal points.
B. The orbit of a planet is circular with the sun in the center.
C. The orbit of a planet is elliptical with another planet in one of the two center-points.
D. The orbit of a planet is circular with another planet in the center.
