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An astronaut orbiting the Earth is preparing to dock with a Westar VI satellite. The satellite is in a circular orbit 700 km above the Earth's surface, where the free-fall acceleration is 8.11 m/s^2. Take the radius of the Earth as 6400 km.
(a) Determine the speed of the satellite in meters/second.
(b) Determine the time interval required to complete one orbit around the Earth, which is the period of the satellite, in minutes.

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