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A 4.0 kg box is initially moving to the right with a speed of 3.0 m/s. The coefficient of kinetic friction between the box and

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A 4.0 kg box is initially moving to the right with a speed of 3.0 m/s. The coefficient of kinetic friction between the box and the ground is 0.25. The box slides for a distance d = 0.50 m, then hits an uncompressed spring with spring constant k = 900 N/m. The surface below the spring is covered in frictionless ice (yes, this is a very realistic scenario). What maximum distance x will the spring compress? (Note: since the spring has negligible mass, you do not need to treat the box hitting the spring as a collision: the spring is not considered an object. Just treat the spring as a new force acting on the box)

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