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A satellite of mass 5000 kg is traveling east at 8000 m/s when it collides with...

A satellite of mass 5000 kg is traveling east at 8000 m/s when it collides with a satellite-killing projectile of mass 500 kg moving straight up (away from the earth) at 3000 m/s. The projectile mostly misses the satellite, but it knocks off and sticks to a 125 kg-piece of the satellite. The projectile and the satellite piece move away at 45 degrees upward from east at 3400 m/s. The rest of the satellite continues to move directly east at some speed. What is it, in m/s (closest answer)?

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