A crate slides across a warehouse floor at

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A 3.0 kg3.0\,\text{kg} crate slides across a warehouse floor at 8.0 m ⁣⋅ ⁣s−18.0\,\text{m}\!\cdot\!\text{s}^{-1}. For the first 5.0 m5.0\,\text{m}, the coefficient of kinetic friction is μk1=0.05\mu_{k1}=0.05. Beyond that, the floor is rougher with μk2=0.20\mu_{k2}=0.20. Assuming the coefficients are constant in their respective regions, which is closest to the total distance the crate travels before coming to rest? (a) 16 m16\,\text{m} (b) 26 m26\,\text{m} (c) 20 m20\,\text{m} (d) 35 m35\,\text{m}

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