Two carts collide head-on and then ricochet off each other in opposite directions on a frictionless surface.  The first cart has a mass of 0.350 kg and an initial velocity of 1.50 m/s. The second cart  has a mass of 0.500 kg and an initial velocity of 0.75 m/s. After the collision, the smaller cart recoils with a velocity of 4.0 m/s. What is the final velocity of bigger cart?

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