1. The problem statement, all variables and given/known data How far away from earth does a spacecraft have to be for the astonauts in it to be weightless? 2. Relevant equations 3. The attempt at a solution Is this correct: Since the gravitational force is a long range force, no matter what finite distance the spacecraft and earth are from each other, there will still be gravitational attraction. In order for the astronauts to be truly weightless the distance between the ship and the earth would have to be infinite. -I had second thoughts about what weightless meant. My book define weight as a normal force, so if the astronauts are floating around in the spacecraft, they have no normal force acting on them, but are they truly weightless?