A box slides to the right on a horizontal surface while a constant force pulls it…

PHYSICS · Single correct · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A 4.0 kg4.0\,\text{kg} box slides to the right on a horizontal surface while a constant 12 N12\,\text{N} force pulls it toward +x. The coefficient of kinetic friction varies with time according to μk(t)=0.10+0.020 t\mu_k(t)=0.10+0.020\,t, where tt is in seconds. Take g=9.8 m/s2g=9.8\,\text{m/s}^2. At what time will the box first begin to slow down? (a) 5.1 s5.1\,\text{s} (b) 15 s15\,\text{s} (c) 10 s10\,\text{s} (d) 8.2 s8.2\,\text{s}

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