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Two manned satellites approach one another at a relative speed of 0.250 m/s, intending to dock....

Two manned satellites approach one another at a relative speed of 0.250 m/s, intending to dock. The first has a mass of 2.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. If the two satellites collide elastically rather than dock, what is their final relative velocity in meters per second? (Adopt the reference frame in which the second satellite is initially at rest and assume that the positive direction is directed from the second satellite towards the first satellite.)

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