The third stage of the rocket consists of a launch vehicle weighing 500 kg and a head cone weighing 10 kg. A compressed spring is placed between them. When tested on Earth, the spring imparted a speed of 5.1 m/s to the cone relative to the launch vehicle. Determine the speeds of the cone and the rocket if their separation occurs in orbit while moving at a speed of 8 km/s relative to the Earth.
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