A space station consists of three modules, connected triangle of side length 82.0 m. Suppose 100 people,

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I'm not sure if I solved part C correctly. The value I got is larger than the original distance; if the acceleration doubles wouldn't that result in a larger value of R?

A space station consists of three modules, connected to form an equilateral
triangle of side length 82.0 m. Suppose 100 people, with an average mass of
75.0 kg each, live in each capsule and the mass of the modules is negligible
compared to the mass of the people. At the current rotational rate the effec-
tive acceleration of gravity is g/2.
(a) What angular momentum of the system?
(b) If the modules are pulled closer what should happen to the rota-
tional rate? Explain.
(c) Determine the distance between the modules which would give an
effective acceleration of gravity equal to g?
(d) Use the Proportionality sensemaking technique to evaluate whether the effective acceleration of
gravity changes as expected with a change in the distance between modules.
Transcribed Image Text:A space station consists of three modules, connected to form an equilateral triangle of side length 82.0 m. Suppose 100 people, with an average mass of 75.0 kg each, live in each capsule and the mass of the modules is negligible compared to the mass of the people. At the current rotational rate the effec- tive acceleration of gravity is g/2. (a) What angular momentum of the system? (b) If the modules are pulled closer what should happen to the rota- tional rate? Explain. (c) Determine the distance between the modules which would give an effective acceleration of gravity equal to g? (d) Use the Proportionality sensemaking technique to evaluate whether the effective acceleration of gravity changes as expected with a change in the distance between modules.
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