physics hey damon one more please! =]
posted by Jon on .
Consider a spaceship located on the EarthMoon center line (i.e. a line that intersects the centers of both bodies) such that, at that point, the tugs on the spaceship from each celestial body exactly cancel, leaving the craft literally weightless. Take the distance between the centers of the Earth and Moon to be 3.72E+5 km and the MoontoEarth mass ratio to be 1.200E2. What is the spaceship's distance from the center of the Moon?

Let R be the distance from Earth to Moon.
Let r be the distance from Earth to the spaceship, and Rr the distance from Moon to spaceship.
Then the force of gravity from spacecraft to Earth is EQUAL to the force of gravity from Spacecraft to Moon.
Set them equal, and solve for r.