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You are playing with two stones that slide across a smooth sheet of ice. One stone...

You are playing with two stones that slide across a smooth sheet of ice. One stone has a mass of 19.19 kg, and is traveling with a velocity 1.2x̂ + 1.2ŷ m/s. The other has a mass of 17.78 kg and is initially at rest. After the collision, the 19.19 kg stone has a velocity -1.2x̂ + 2.0ŷ m/s. What is the x component of velocity of the 17.78 kg stone after the collision? Report your result in meters per second, rounded to one decimal place

Two carts roll smoothly on a track. One cart has a mass m and is moving at a velocity v. The other cart has a mass 2m and is moving in the same direction at a velocity 0.53*v. The cart that is moving faster rear-ends the slower cart, and the two stick together. What is their velocity after the collision? Answer in terms of v, entering the coefficient rounded to two decimal places

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