How Strong is the Moon's Gravitational Pull on a 1-kg Mass on Earth?

[needhelp83]

A 1-kg mass at the Earth's surface is gravitationally attracted to Earth with a force of 9.8 N. Calculate the force of gravity with which the 1-kg mass on Earth is attracted to the moon. (The moon's mass is 7.4 x 10^22 kg)

Would this be setup correctly?


F=(G me mb)/r^2

F=(6.67*10^(-11))(7.4*10^22 kg)(5.98*10^24 kg)/(3.84*10^20)^2=1.99*10^20 N

F=ma
F=(1kg)(1.99*10^20 N)=1.99*10^20 N

 

[Doc Al]

Do you really think that your answer makes sense? That an object right on the surface of the huge Earth feels a force of about 10 N towards the earth, but also feels a force a gazillion times bigger pulling it to the smaller and more distant moon?

Hint: You need the gravitational force between Object and Moon, so the only masses involved would be that of the object and the moon.