Spacecraft pulled by the moon

The idea is- as the moon is passing over, the pull of Earth's gravity on immediate area surrounding the spacecraft somehow temporarily cancelled out (still working on the how) and the craft falls toward the moon. After clearing Earth's atmosphere the craft's thrusters (or other means of propulsion) direct the vessel away from the moon to avoid crashing into it.

Assuming a way to nullify Earth's pull exists (asking a lot, I know), how light would the spacecraft need to be? What likely velocity would the 'moonfall' (for lack of a better phrase) have for say, a two-person craft?

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Spacecraft pulled by the moon

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