On Earth a baseball player can hit a ball 120 m by giving it an initial angle of 45° to the horizontal. Take the acceleration due to gravity as g=10 ms^-2 Suppose the batter repeats this exercise in a space 'habitat' that has the form of a circular cylinder of radius R = 10 km and has an angular velocity about the axis of the cylinder sufficient to give an apparent gravity of g at radius R. The batter stands on the inner surface of the habitat (at radius R) and hits the ball in the same way as on Earth (i.e., at 45° to the surface), in a plane perpendicular to the axis of the cylinder (see Figure P. 1.45). What is the furthest distance the batter can hit the ball, as measured along the surface of the habitat?
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