Need help on both parts!

(14%) Problem 6: Zorch, an archenemy of Superman, decides to slow Earth's rotation to once per 29.5 h by exerting a force parallel to the equator, opposing the rotation. He uses an old Saturn V rocket, stolen from NASA, which was originally used to send astronauts to the Moon. This rocket can exert a thrust of F= 4.15 x 10' N. For the purposes calculations in this problem you should treat the Earth as a sphere of uniform density even though it isn't. Additionally, use 5.979 x 1024 kg for Earth's mass and 6.376 x 100 m for Earth's radius . 4 50% Part (a) If the original angular velocity of Earth is w, and Zorch is trying to get the Earth to an angular velocity of w, how much time will it take him? Use M and R for the mass and radius of the Earth. 7 9 HOM 1-2 g M R N VC BACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 3% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback. 4 50% Part (b) How long, in seconds, will it take him to do this? (Notice that this period gives Superman time to devote to thwarting other villains.)