Three identical carts on a low-friction track have putty on their ends so that they stick together

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Three identical carts on a low-friction track have putty on their ends so that they stick together when they collide. In Figure P4.66a, two carts already stuck together and moving at speed \(v\) collide with the single cart initially at rest. In Figure P4.66b, there are two collisions: First the center cart, moving at speed \(v\), collides with the cart on the right (and they stick together). Then the left cart, moving at speed \(v\), collides with those two carts. In which case is the final speed of the three carts greater?

Data from Figure P4.66

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