Aspacecraft is positioned at the point directly between the center of jupiter and the center of jupiter's moon europa, so that the net force on it due to the gravity of jupiter and europa together is zero (a) (9 points) how far is the spacecraft from the center of the jupiter? your answer should be a number (b) (3 points) if the spacecraft were moved a very small distance along the line between planet and moon and away from the point where the net force on it is zero, would it undergo simple harmonic motion? explain briefly (c) (3 points) if the spacecraft were moved a very small distance not along the line between planet and moon and away from the point where the net force on it is zero, would it undergo simple harmonic motion? explain briefly (d) (9 points) at what speed would you need to launch a projectile straight up from europa in order for it to rise to the point you found in part (a) before falling back to the surface? neglect the rotation of europa. your answer should be a number. note: you will get full credit for this question if you do it correctly using an incorrect answer to part (a) mass of the europa jupiter-to-europa distance radius of europa 6.71x10 km 4.80x1022 kg 1.90x1027 kg mass of the jupiter 1550 km