Figure shows a two ended rocket that is initially stationary on a frictionless floor, with its cente

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Figure shows a two-ended "rocket" that is initially stationary on a frictionless floor, with its center at the origin of an axis. The rocket consists of a central block (of mass ) and blocks and (each of mass ) on the left and right sides. Small explosions can shoot either of the side blocks away from block and along the axis. Here is the sequence: (1) At time block is shot to the left with a speed of relative to the velocity that the explosion gives the rest of the rocket. (2) Next, at time block is shot to the right with a speed of relative to the velocity that block then has. At what are (a) the velocity of block and (b) the position of its center?

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