Two carts, of inertias (m_{1}) and (m_{2}), collide head-on on a low-friction track. Before the collision, which
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Two carts, of inertias \(m_{1}\) and \(m_{2}\), collide head-on on a low-friction track. Before the collision, which is elastic, cart 1 is moving to the right at \(10 \mathrm{~m} / \mathrm{s}\) and cart 2 is at rest. After the collision, cart 1 is moving to the left at \(5 \mathrm{~m} / \mathrm{s}\). What are the speed and direction of motion of cart 2 after the collision? If \(m_{2}=6 \mathrm{~kg}\), what is the value of \(m_{1}\) ?
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