The gravitational force between the Sun and the Earth is [tex]3.54\cdot 10^{22}N[/tex]
Explanation:
The magnitude of the gravitational force between two bodies is given by :
[tex]F=G\frac{m_1 m_2}{r^2}[/tex]
where
[tex]G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}[/tex] is the gravitational constant
[tex]m_1, m_2[/tex] are the masses of the two bodies
r is the separation between the bodies
Here in this problem we have:
[tex]m_1 = 1.99\cdot 10^{30} kg[/tex] is the mass of the Sun
[tex]m_2 = 5.97\cdot 10^{24} kg[/tex] is the mass of the Earth
[tex]r=1.496\cdot 10^{11} m[/tex] is their separation
Substituting into the equation, we find the gravitational force between the Sun and the Earth:
[tex]F=(6.67\cdot 10^{-11})\frac{(1.99\cdot 10^{30})(5.97\cdot 10^{24})}{(1.496\cdot 10^{11})^2}=3.54\cdot 10^{22}N[/tex]
Learn more about gravitational force:
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