# 6.69 . CALC Varying Coefficient of Friction. A box is sliding with a speed of 4.50 m>s on a horizontal surface when at point P it encounters a rough section. The coefficient of friction there is not constant; it starts at 0.100 at P and increases linearly with distance past P reaching a value of 0.600 at 12.5 m past point P. (a) Use the work–energy theorem to find how far this box slides before stopping. (b) What is the coefficient of friction at the stopping point? (c) How far would the box have slid if the friction coefficient didn’t increase but instead had the constant value of 0.100?

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

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