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Please explain in detail and step by step a 1.0kg block is held at rest against a spring with a force constant k = 740N/m . Initially, the spring is compressed a distance d. When the block is released, it slides across a surface that is frictionless except for a rough patch of width 5.0cm that has a coefficient of kinetic friction = 0.40. Find d such that the block's speed after crossing the rough patch is 2.4m/s.

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