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:
![F=(6.67\cdot 10^{-11}) \frac{(1.99\cdot 10^{30})(5.68\cdot 10^{26})}{(1.50\cdot 10^9)^2}=3.35\cdot 10^{28} N](https://tex.z-dn.net/?f=F%3D%286.67%5Ccdot%2010%5E%7B-11%7D%29%20%5Cfrac%7B%281.99%5Ccdot%2010%5E%7B30%7D%29%285.68%5Ccdot%2010%5E%7B26%7D%29%7D%7B%281.50%5Ccdot%2010%5E9%29%5E2%7D%3D3.35%5Ccdot%2010%5E%7B28%7D%20N)
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:
![F=(6.67\cdot 10^{-11}) \frac{(1.99\cdot 10^{30})(5.98\cdot 10^{24})}{(1.50\cdot 10^8)^2}=3.52\cdot 10^{28} N](https://tex.z-dn.net/?f=F%3D%286.67%5Ccdot%2010%5E%7B-11%7D%29%20%5Cfrac%7B%281.99%5Ccdot%2010%5E%7B30%7D%29%285.98%5Ccdot%2010%5E%7B24%7D%29%7D%7B%281.50%5Ccdot%2010%5E8%29%5E2%7D%3D3.52%5Ccdot%2010%5E%7B28%7D%20N)
So, the force between the Earth and the Sun is slightly larger than the force between the Sun and Saturn.
Learn more about gravitational force:
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