An astronaut orbiting the earth is preparing to dock with a westar vi satellite. the satellite is in a circular orbit 500 km above the earth's surface, where the free-fall acceleration is 8.25 m/s2. take the radius of the earth as 6400 km. determine the speed of the satellite.

As the satellite is in free fall, therefore we use the formula

Here, v is the orbital speed, r is radius of Earth plus satellite is in a circular orbit 500 km above the earth's surface and g is the satellite free-fall acceleration    .

Given   and

Substituting these values in above equation we get,

Thus, the speed of satellite in  order to maintain the  orbit is

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