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A block of mass m = 1.0 kg sliding along a rough horizontal surface is traveling...

A block of mass m = 1.0 kg sliding along a rough horizontal surface is traveling at a speed v0 = 10.0m/s when it strikes a massless spring head-on (see figure) and compresses the spring a maximum distance X =0.25m. If the spring has stiffness constant k = 100. N/m, determine the coefficient of kinetic friction between block and surface.

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