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A 125 kg astronaut (with all his equipment) pushes off from his 2500 kg space capsule, acquiring a velocity of 2.0 m/s. (Assume that both astronaut and spacecraft are at rest to begin with.)
(a) What is the velocity of the space capsule, after he pushes off?
(b) If he is tethered to the space capsule by a 25 m line, what time will elapse before the line becomes taut?
(c) Where is the centre of mass of the system when this happens, and what is its momentum?
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