(20%) Problem 5: Zorch1 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 'om NASA, which was originally used to send astronauts to the Moon. This rocket can exert a thiust of F = 3.95 X 107 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 K 106 in for Earth's radius t; 82 50% Part (a) If the original angular velocity ofEarth is [do and Zorch is trying to get the Earth to an angular velocity of [0, how much time will it take him? Use M and)? for the mass and radius of the Earth. I i A 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.)