Consider a person with a mass of 72 kg who is in the space station described in Example 14...

Consider a person with a mass of 72 kg who is in the space station described in Example 14.7. When he is in the occupied outer ring, his simulated weight in newtons is  Suppose that he climbs to a position in one of the radial tunnels that leads to the center of the station. Let r be his distance in meters from the center of the station,

(a) Determine Ins simulated weight in his new position in terms of r.

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(b) What would his simulated weight be when he reaches the center of the station?