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1- A block slides along a frictionless surface at 2.4 m/s. A second 3.5-kg block, sliding...

1- A block slides along a frictionless surface at 2.4 m/s. A second 3.5-kg block, sliding at a faster 7.5 m/s, collides with the first from behind and sticks to it. The final velocity of the combined blocks is 4.6 m/s. What was the mass of the first block?

2-A 15 g ball of clay traveling west at 4 m/s collides with a 50 g ball of clay traveling 30° north of east at 3.5 m/s. What is the speed of the resulting 65 g blob of clay?

3- A firecracker in a coconut blows the coconut into three pieces. Two pieces of equal mass fly off east and north, perpendicular to each other, at 36 m/s. The mass of the third piece is four times as much as the mass of the other two. What is the speed the third piece?

4- Four identical train cars, coupled together, are rolling east at 1.5 m/s. A fifth car traveling east at 3 m/s catches up with the four and couples to make a five-car train. A moment later, the train cars hit a six car that was at rest on the tracks, and it couples to make a six-car train. What is the speed of the six-car train?

5- Disk A, with a mass of 6 kg and a diameter of 76 cm, rotates clockwise about a frictionless vertical axle at 34 rev/s. Disk B, 3 kg and a diameter of 44 cm, rotates counterclockwise about that same axle, but at a greater height than disk A, at 28 rev/s. Disk B slides down the axle until it lands on top of disk A, after which they rotate together. After the collision, what is their common angular speed (in rev/s)?

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