Question

A spacecraft is launched from Earth toward the moon.

Where will the spacecraft be when the gravitational forces acting on it are equal?

closer to Earth than to the moon because the moon has greater mass than Earth
closer to the moon than to Earth because the moon has greater mass than Earth
closer to Earth than to the moon because Earth has greater mass than the moon
closer to the moon than to Earth because Earth has greater mass than the moon

Answer 1

closer to the moon than to Earth because Earth has greater mass than the moon.

Reason: gravitational force F = G M / r^2, so for Earth (Me) and Moon (Mm) at distances re and rm we set Me/re^2 = Mm/rm^2. Since Me > Mm, re must be > rm, so the point of equal forces lies closer to the Moon.