On an essentially frictionless, horizontal ice rink, a skater moving at v = 3.0  m/s encounters a rough patch that reduces her speed to 45% due to a friction force that is 25%  of her weight (w). Use the work-energy theorem to find the length of this rough path. Express first your answer in terms of any or all of the variables v, w, and g (acceleration due to gravity), and then its numerical value

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