A (0.25-mathrm{kg}) cart is held at rest against a compressed spring as in Figure (5.8 a) and

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A \(0.25-\mathrm{kg}\) cart is held at rest against a compressed spring as in Figure \(5.8 a\) and then released. The cart's speed after it separates from the spring is \(2.5 \mathrm{~m} / \mathrm{s}\). The spring is then compressed by the same amount between a \(0.25-\mathrm{kg}\) cart and a \(0.50-\mathrm{kg}\) cart, as shown in Figure \(5.22 a\), and the carts are released from rest. What are the carts' speeds after separating from the spring?

Data from Figure 5.22a

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