An interplanetary spaceship passes through the point in space where the gravitational forces from the sun and

Question:

An interplanetary spaceship passes through the point in space where the gravitational forces from the sun and the earth on the ship exactly cancel.
(a) How far from the center of the earth is it? Use the data in Appendix F.
(b) Once it reached the point found in part (a), could the spaceship turn off its engines and just hover there indefinitely? Explain.