Answer: Total Force = [tex]9.56*10^{17}[/tex]
Explanation:
Line points are: Sun - Venus - Earth - Jupiter - Saturn
Newton's law of universal gravitation states that every particle attracts every other particle in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. This means:
[tex]F=G\frac{m_{1} m_{2}}{r^{2} }[/tex]
Where,
G is the gravitational constant,
m1 and m2 are the masses of the objects,
and r is the distance between the centers of their masses.
So, if G value is [tex]6.674*10^{-11} [\frac{m^{3}}{kg*s^{2}}][/tex], then we replace the equation with the corresponding values:
[tex]F=6.674*10^{-11} (-\frac{0.815ME^{2}}{(4.2*10^{10})^{2}} + \frac{318ME^{2}}{(6.28*10^{11})^{2}} + \frac{95.1ME^{2}}{(1.28*10^{12})^{2}})[/tex]
To get the distances we subtract the distances between the sun and earth and the distances between the other planets and the sun.
