The international space station is maintained in a nearly circular orbit with a mean altitude of $330 k m$ and a maximum of $410 k m$ . An astronaut is floating in the space station's cabin. The acceleration of astronaut as measured from the earth is.

Zero

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Nearly zero and directed towards the earth

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Nearly

g

and directed along the line of travel of the station.

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Nearly

g

and directed towards the earth.

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Solution

The correct option is B Nearly $g$ and directed towards the earth.
From earth as one takes a a body outward in space to height h, gravitation acceleration varies as $g_{h} = \frac{g R^{2}}{(R + h)^{2}}$ ; R is the radius of earth.
Now h is small compared to R, so $g_{h} \approx g$ and directed towards earth.

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The international space station is maintained in a nearly circular orbit with a mean altitude of 330km and a maximum of 410km. An astronaut is floating in the space station's cabin. The acceleration of astronaut as measured from the earth is.

The correct option is B Nearly g and directed towards the earth.From earth as one takes a a body outward in space to height h, gravitation acceleration varies as gh=gR2(R+h)2; R is the radius of earth. Now h is small compared to R, so gh≈g and directed towards earth.

The international space station is maintained in a nearly circular orbit with a mean altitude of $330 k m$ and a maximum of $410 k m$ . An astronaut is floating in the space station's cabin. The acceleration of astronaut as measured from the earth is.