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When the box is released, it slides across a surface that is frictionless, except for a rough patch that has a coefficient of kinetic friction Uk = 0.40 and is 6.0 cm in length. If the speed of the box is 2.7 m/s after sliding across the rough patch, determine the initial compression d (in cm) of the spring.

As shown in the figure, a 1.5 kg box is held at rest against a spring with a force constant k= 675 N/m that is compressed a distance d.
Equilibriu
position
Fough patch
6.0 cm

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