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A space station is orbiting the Earth. It moves in a circular orbit with a radius...

A space station is orbiting the Earth. It moves in a circular orbit with a radius equal to twice the Earth's radius. A supply satellite is designed to travel to the station and dock smoothly when it arrives. If the supply satellite is fired as a simple projectile from the Earth's surface, what is the minimum initial speed required for it to reach the space station and have a speed equal to the station's speed when it arrives? Ignore both air drag and the rotational motion of the Earth.

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