Question

The moon has a mass of 7.35 E 22 kg and is located 3.84 E 8 meters from the Earth. If Ellen, an earthling, has a mass of 47 kg, what is the gravitational force between Ellen and the moon? I found the correct answer but I am confused on how I did so, please explain.

Answer 1

Under the law of universal attraction:F=km₁m₂/r²=6.67*10⁻¹¹*7.347*10²²*47/3.844*10⁸=23.0321*10¹³/3.844*10⁸=5.99*10⁵≈6*10⁵ N

It's probably going to be a phase out of the approximations