Answer:
The gravitational force between the two planets is [tex]4\cdot 10^{-20} \ N[/tex]
Explanation:
Newton’s Law of Universal Gravitation
Objects attract each other with a force that is proportional to their masses and inversely proportional to the square of the distance between them.
[tex]\displaystyle F=G{\frac {m_{1}m_{2}}{r^{2}}}[/tex]
Where:
m1 = mass of object 1
m2 = mass of object 2
r = distance between the objects' center of masses
G = gravitational constant: [tex]6.67\cdot 10^{-11}~Nw*m^2/Kg^2[/tex]
The mass of the planets are:
[tex]m1 = 3\cdot 10^{12}\ Kg[/tex]
[tex]m2 = 2\cdot 10^{10}\ Kg[/tex]
And the distance is:
[tex]r = 10\cdot 10^{15}\ m[/tex]
Applying the formula:
[tex]\displaystyle F=6.67\cdot 10^{-11}{\frac {3\cdot 10^{12}*2\cdot 10^{10}}{(10\cdot 10^{15})^{2}}}[/tex]
Calculating:
[tex]\displaystyle F=6.67\cdot 10^{-11}{\frac {6\cdot 10^{22}}{1\cdot 10^{32}}[/tex]
[tex]F = 4\cdot 10^{-20} \ N[/tex]
The gravitational force between the two planets is [tex]4\cdot 10^{-20} \ N[/tex]
