The gravitational force between the Earth and the Sun is slightly larger than the force between the Sun and Saturn
Explanation:
The magnitude of the gravitational force between two objects is given by
where
is the gravitational constant
m1, m2 are the masses of the two objects
r is the separation between them
For the Sun and Saturn, we have:
(mass of the Sun)
(mass of Saturn)
is the distance between the Sun and Saturn
Substituting, we find the gravitational force between the Sun and Saturn:
For the Sun and the Earth, we have:
(mass of the Sun)
(mass of the Earth)
is the distance between the Sun and the Earth
Substituting, we find the gravitational force between the Sun and the Earth:
So, the force between the Earth and the Sun is slightly larger than the force between the Sun and Saturn.
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