You fly your not-so-trusty Scooty Puff Pro spaceship away from the Earth along a line that con- nects the center of the Earth to the center of the Moon.
(a) How far away are you from the center of the Moon when the force of gravity from the Earth is 2/3 the magnitude of the force of gravity from the Moon?
(b) Does your answer depend on the mass of your spaceship? Explain.