A 60-g bullet is fired horizontally with a velocity v₁ = 600 m/s into the 3-kg block of soft wood initially at rest on the horizontal surface. The bullet emerges from the block with the velocity v₂ = 400 m/s, and the block is observed to slide a distance of 2.70 m before coming to rest. Determine the coefficient of kinetic friction μ_k between the block and the supporting surface.

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3 kg 400 m/s 600 m/s 60 g 2.70 m-