In Figure P8.35, a (50-mathrm{kg}) skier heads down a slope, reaching a speed of (35 mathrm{~km} /

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In Figure P8.35, a \(50-\mathrm{kg}\) skier heads down a slope, reaching a speed of \(35 \mathrm{~km} / \mathrm{h}\). She then slides across a horizontal snow field but hits a rough area. Assume the snow before the rough area is so slippery that you can ignore any friction between the skis and the snow. If the frictional force exerted by the snow in the rough area is \(40 \mathrm{~N}\), how far across the rough area does the skier travel before stopping?

Data from Figure P8.35

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