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James and Sarah stand on a stationary cart with frictionless wheels. The total mass of the cart and riders is 130 kg. At the same instant, James throws a 1.3 kg ball to Sarah at 4.7 m/s , while Sarah throws a 0.66 kg ball to James at 1.4 m/s . James's throw is to the right and Sarah's is to the left, both speeds are measured relative to the ground. After the balls are caught, what is the speed of the cart and riders?Consider direction to the right as the positive direction and pay attention to the sign of your answer.
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