In the film, 2001: A Space Odyssey, astronauts travel through space and experien

Question

In the film, 2001: A Space Odyssey, astronauts travel through space and experience artificial gravity created by a circular spinning space station. In order to experience the same gravitational acceleration as we feel on Earth, a space station spins at 39.9 m/s. How large must the diameter of the space station be in order to create a comfortable Earth-like environment for the astronauts? Number How does this compare to the International Space Station (ISS), which has a length of about 70 m, a width of 100 m and a height of 20 m? O The ISS is larger than the space station spinning at 39.9 m/s The ISS is smaller than the space station spinning at 39.9 m/s The ISS is about the same size as the space station spinning at 39.9 m/s. There is not enough information to answer this question. O O

Explanation / Answer

Here centripetal force is balanced by magnetic force

mV2/r = mg

=>r=V2/g =39.92/9.8

r=162.45 m

diameter of space station

d=2r=2*162.45

d=324.9 m=325 m(approx)

b)

answer is B)The Iss is smaller than the space station spinning at 39.9 m/s

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