Half Hour Rush M2: Millennium Falcon (4 points) In the Star Wars franchise, passengers in the Millennium Falcon appear to experience gravitational forces similar to those on Earth. While this is explained with fictional devices, artificial gravity is, in fact, possible in space, through rotation. Consider the Falcon as a disc with diameter d = 25.6 m, which rotates with con- stant angular velocity about an axis parallel to the disc's flat surface at perpendicular distance r = 50.0 m away from the disc's centre, as illustrated below. W d Luke stands on the flat surface of the disk and releases a ball from his position. Depending on where he stands, the initial magnitude of acceleration of the ball from his perspective differs. Denoting the maximum and minimum initial accelerations of the ball as amax and amin respectively, find the ratio amax/am. Assume there are no celestial bodies nearby, and that the ball's initial height above the floor is much smaller than r. Leave your answer to 3 significant figures