What is the gravitational attraction between the Earth and the Moon? The Earth has a mass of 5.97 × 10^{24 }kg, while the moon has a mass of 7.36 × 10^{22}kg. The average distance between them is 384,400km. Estimate G as 6.67 × 10^{-11} N (m/kg) ^{²}

To solve this problem, we use the equation F = G (m_{1} m_{2}) /r^{2} .

We are given that m_{1} = 5.97 × 10^{24}, m_{2} = 7.36 × 10^{22}, and that r = 384400000.

We plug these values into the equation and we get that

F = ((6.67 × 10^{-11}) (5.97 × 10^{24},) (7.36 × 10^{22})) / (384400000) ^{2} = 1.98 × 10^{20} N