Question

I have no idea how to do this problem

At what distance from the Earth will a spacecraft on the way to the Moon esperience zero net force due to these two bodies because the EArth and Mon pull with equal and opposite forces?

there\'s no data in the question to use

Answer 1

The data you need is the Mass of the Earth, Mass of the Moon, the radius of Moons orbit, and the universal gravitation constant. From the centers of Earth and Moon, you know that distance, then let some x be from center of earth. Find Force gravity of Earth at x, then find force gravity of moon at r-x. Set the forces equal and solve for x.