Use the work–energy theorem to solve each of these problems.You can use Newton’s laws to check your answers. (a) A skiermoving at 5.00 m/s encounters a long, rough horizontal patch of snowhaving a coefficient of kinetic friction of 0.220 with her skis. How fardoes she travel on this patch before stopping? (b) Suppose the roughpatch in part (a) was only 2.90 m long. How fast would the skier bemoving when she reached the end of the patch? (c) At the base of a frictionlessicy hill that rises at 25.0° above the horizontal, a toboggan hasa speed of 12.0 m>s toward the hill. How high vertically above the basewill it go before stopping?

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Use the work–energy theorem to solve each of these problems.
You can use Newton’s laws to check your answers. (a) A skier
moving at 5.00 m/s encounters a long, rough horizontal patch of snow
having a coefficient of kinetic friction of 0.220 with her skis. How far
does she travel on this patch before stopping? (b) Suppose the rough
patch in part (a) was only 2.90 m long. How fast would the skier be
moving when she reached the end of the patch? (c) At the base of a frictionless
icy hill that rises at 25.0° above the horizontal, a toboggan has
a speed of 12.0 m>s toward the hill. How high vertically above the base
will it go before stopping?

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