5.66 .. CP A box is sliding with a constant speed of 4.00 m>s in the +x-direction on a horizontal frictionless surface. At x = 0 the box encounters a rough patch of the surface and then the surface becomes even rougher. Between x = 0 and x = 2.00 m the coefficient of kinetic friction between the box and the surface is 0.200; between x = 2.00 m and x = 4.00 m it is 0.400. (a) What is the x-coordinate of the point where the box comes to rest? (b) How much time does it take the box to come to rest after it first encounters the rough patch at x = 0?

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Question source: “University Physics with Modern Physics by Hugh Young and Roger Freedman

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