Question

The space station is rotating to create artificial gravity. The speed of the inner ring is...

The space station is rotating to create artificial gravity. The speed of the inner ring is one half that of the outer ring. As an astronaut walks from the inner to the outer ring, what happens to her apparent weight? choice on of them?

Her apparent weight becomes four times as great.
Her apparent weight does not change.
Her apparent weight becomes one-fourth as great.
Her apparent weight becomes half as great.
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Answer #1

Her apparent weight becomes twice as great.
The magnitude of the centripetal force acting on the astronaut is equal to her apparent weight. The centripetal force is Fc = mv2/r, which depends on the square (v2) of the astronaut's speed and inversely (1/r) on the radius of the ring. r = vT/(2π), the radius is directly proportional to the speed. Thus, the centripetal force is directly proportional to the speed v of the astronaut. As the astronaut walks from the inner ring to the outer ring, her speed doubles and so does her apparent weight.

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