suppose an alien civilization has a space station in circular orbit around its h

Question

suppose an alien civilization has a space station in circular orbit around its home planet 7.24] law can be applied to any large body and its sys- with the body's ar it can be used to determine the mass of I T HIrd law. llu tem of sat ellites by replacing the Sun's mass the centr al body once the average distance to a satellite and its period are known. 2. Suppose an alien civilization has a space station in circular orbit around its home planet. The station's orbital radius is twice the planet's radius. (a) If an alien astronaut has weight w just before launch from the surface, will she be weightless when she reaches the station and floats inside of it? (b) If not, Unless otherwise noted, all content on this page is © Cengage Learnin

Explanation / Answer

gravitational acceleration is inversely proportional to the square of the radius of rotation above the surface,

also weight is directly proportional to gravitational acceleration.

worbit/wsurface = gorbit/gsurface = (rsurface/rorbit)2 = (r/2r)2 = 1/4

=> worbit = w/4

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