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Two air carts of mass m = 0.90kg and m = 0.44 kg are placed on a frictionless track. Cart 1 is at rest initially, and has a spring bumper with a force constant of 690N/m. Cart 2 has a flat metal surface for a bumper, and moves toward the bumper of the stationary cart with an initial speed v=0.61 m/s . Assume that positive -axis is directed toward the direction of motion of cart 2.

What is the speed of the two carts at the moment when their speeds are equal?
How much energy is stored in the spring bumper when the carts have the same speed?
What is the final speed of the cart 1 after the collision?
What is the final speed of the cart 2 after the collision?

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