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A skier weighing 55.0 kg starts from rest at the top of a frictionless incline of height 20.0m, as shown in Figure Q1(b). At the bottom of the incline, she encounters a horizontal surface where the coefficient of kinetic friction between skis and snow is 0.210 instead of being assumed frictionless as for the slope. The angle of the triagle is 20 deegrees. (Assume gravitational acceleration is 9.8 m/s2) (i) Calculate her speed at the bottom of the incline. (ii) Calculate the friction force on the horizontal surface. (iii) Calculate the energy loss to the horizontal surface when the skier stops on the horizontal surface. (iv) Determine how far she travels on the horizontal surface before coming to rest. (v) Find the distance the skier travels along the horizontal surface before coming to rest if the incline also has a coefficient of kinetic friction equal to 0.210.
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