What is Newton's law of gravitation?

Newton's law of gravitation states that the force that between two objects of mass is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centres.

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What is the formula for Newton's law of gravitation linking two objects of mass (m1 and m2), the gravitational constant (G), and the distance between the centre of the masses (r)? 

F = r2Gm1m2


F = force between the two masses (N)

G = gravitational constant = 6.67 x 10-11 (N m2 kg-2)

m1 = mass of object 1 (kg)

m2 = mass of object 1 (kg)

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What does the 'r' in Newton's law of gravitation formula represent?

'r' represents the distance between the centres of the two bodies.


Be careful because this is not the same as the distance between the surfaces of the two bodies.

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What does Newton's law of gravitation tell us about the force between two objects as the distance between them increases?

As the distance between the two objects increases, the gravitational force between them decreases.

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What happens to the gravitational force if the distance between two objects is doubled?

If the distance between two objects is doubled, the gravitational force becomes one-quarter.


The relationship between force and distance follows an inverse square law.

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What happens to the gravitational force if the mass of one object is doubled?

If the mass of one object is doubled, the gravitational force also doubles.

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