1. A block of mass 1.71 kg is placed on a frictionless floor and initially pushed northward, whereupon it begins sliding with a constant speed of 3.50 m/s. It eventually collides with a second, stationary block, of mass 4.04 kg, head-on, and rebounds back to the south. The collision is 100% elastic. What will be the speeds of the 1.71-kg and 4.04-kg blocks, respectively, after this collision?

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1. A block of mass 1.71 kg is placed on a frictionless floor and initially pushed northward, whereupon it begins sliding with a constant speed of 3.50 m/s. It eventually collides with a second, stationary block, of mass 4.04 kg, head-on, and rebounds back to the south. The collision is 100% elastic. What will be the speeds of the 1.71-kg and 4.04-kg blocks, respectively, after this collision?

2. Same situation as before. This time it s a block of mass 1.07 kg sliding with a constant velocity of 3.51 m/s to the north, which collides 100% elastically with a second, stationary block, of mass 4.28 kg, head-on, and rebounds back to the south, eventually colliding 100% elastically with a wall and rebounding northward. It then overtakes the second block, which is still moving north as a result of the first collision. What will be the speeds of the 1.07-kg and 4.28-kg blocks, respectively, after their SECOND collision with one another?

3. Consider a non-rotating space station in the shape of a long thin uniform rod of mass 6.07 x 10^6 kg and length 613 meters. Rocket motors on both ends of the rod are ignited, applying a constant force of F = 1.79 x 10^5 N to each end of the rod as shown in the diagram, causing the station to rotate about its center. If the motors are left running for 2 minutes and 39 seconds before shutting off, then how fast will the station be rotating when the engines stop? (attached is the diagram for this question)