A (1.0-mathrm{kg}) standard cart A collides with a (0.10-mathrm{kg}) cart B. The (x) component of the velocity
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A \(1.0-\mathrm{kg}\) standard cart A collides with a \(0.10-\mathrm{kg}\) cart B. The \(x\) component of the velocity of cart \(\mathrm{A}\) is \(+0.60 \mathrm{~m} / \mathrm{s}\) before the collision and \(+0.50 \mathrm{~m} / \mathrm{s}\) after the collision. Cart B is initially traveling toward cart A at \(0.40 \mathrm{~m} / \mathrm{s}\), and after the collision the \(x\) component of its velocity is \(+0.60 \mathrm{~m} / \mathrm{s}\). What are \((a)\) the \(x\) component of the change in the momentum of \(\mathrm{A},(b)\) the \(x\) component of the change in the momentum of \(\mathrm{B}\), and
(c) the sum of these two \(x\) components of the changes in momentum?
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