In Figure P8.35, a (55-mathrm{kg}) skier heads down a slope, reaching a speed of (27 mathrm{~km} /

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In Figure P8.35, a \(55-\mathrm{kg}\) skier heads down a slope, reaching a speed of \(27 \mathrm{~km} / \mathrm{h}\). They then slide across a horizontal snow field but hit a rough area. Assume the snow before the rough area is so slippery that you can ignore any friction between the skier and the snow. However the rough area exerts a significant constant friction force. If the skier comes to rest after travelling \(50 \mathrm{~m}\) across the rough area, what is the magnitude of the friction force?

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