The gravitational force between Mars and the Sun is [tex]1.65\cdot 10^{21} N[/tex]
Explanation:
The magnitude of the gravitational force between two objects is given by the equation:
[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
m1, m2 are the masses of the two objects
r is the separation between them
In this problem, we have:
[tex]m_1 = 1.99\cdot 10^{30} kg[/tex] is the mass of the Sun
[tex]m_2 = 6.39\cdot 10^{23} kg[/tex] is the mass of Mars
[tex]r=229\cdot 10^6 km = 229\cdot 10^9 m[/tex] is the average distance Mars-Sun
Substituting into the equation, we find the gravitational force:
[tex]F=(6.67\cdot 10^{-11})\frac{(1.99\cdot 10^{30})(6.39\cdot 10^{23})}{(229\cdot 10^9)^2}=1.62\cdot 10^{21} N[/tex]
So, the closest answer is
[tex]1.65\cdot 10^{21} N[/tex]
Learn more about gravitational force:
brainly.com/question/1724648
brainly.com/question/12785992
#LearnwithBrainly
