The movie 2001: A Space Odyssey (released in 1968) features a massive rotating space sta...

The movie 2001: A Space Odyssey (released in 1968) features a massive rotating space station of radius 100 m, similar to the one in Figure 5.13B. (a) What period of rotation is needed to provide an artificial gravity of g at the rim? (b) At what speed is the rim moving? (c) What is your apparent weight if you run along the rim at 4.2 m/s opposite the rotation direction? (d) What is your apparent weight if you instead run in the direction of rotation? (e) In which direction would you run (either with or against the rotation) to get the best workout? Would it matter?

(reference figure 5.13B)