A factory robot drops a 10 kg computer onto a conveyor belt running at 3.1 m/s.The materials are such that μ_s = 0.50 and μ_k = 0.30 between the belt and the computer.How far is the computer dragged before it is riding smoothly on the belt? A) 1.6 m B) 0.98 m C) 2.3 m D) 3.0 m

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Quizplus · Accepted Answer

The force of kinetic friction is:$$f_k=\mu_k n=\mu_k mg$$The acceleration of the computer is:$$a=\frac{f_k}{m}=\mu_k g$$The distance the computer is dragged is:$$d=\frac{v^2}{2a}=\frac{v^2}{2\mu_k g}=\frac{(3.1	ext{ m/s})^2}{2(0.30)(9.8	ext{ m/s}^2)}=1.6	ext{ m}$$

A Factory Robot Drops a 10 Kg Computer onto a Conveyor