Problem: Use the work–energy theorem to solve each of these problems.(a) A skier moving at 5.01  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 2.91  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 12.1 { m ; m/s} toward the hill. How high vertically above the base will it go before stopping?

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Use the work–energy theorem to solve each of these problems.
(a) A skier moving at 5.01  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 2.91  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 12.1 toward the hill. How high vertically above the base will it go before stopping?

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Based on our data, we think this problem is relevant for Professor Khondaker's class at UCF.