Question

I am struggling with the question below, pls help: What is the distance between the moon and the earth if the mass of the moon is 7.34 x 10²² kg and the force of attraction between the two is 2.00 x 10 ^ 20.

Thank you in advance!

Answer 1

Step-by-step explanation:

What you forgot to include is the mass of the earth, which is 5.98 × 10²⁴ kg. NOW we can do the problem:

`F=(Gm_1m_2)/(r^2)` where m1 and m2 are the masses of the objects experiencing this force of gravity, F. G is the universal gravitational constant. Filling in:

`2.00*10^(20)=((6.67*10^(-11))(7.34*10^(22))(5.98*10^(24)))/(r^2)`

We are going to rearrange and solve for r before we do any math on this thing:

`r=\sqrt{((6.67*10^(-11))(7.34*10^(22))(5.98*10^(24)))/(2.00*10^(20)) }` and when we plug all that mess into our calculators we will do it just like that and then round to 3 significant digits at the very end.

Doing all of that gives us that

r = 3.83 × 10⁸ m