Use the work–energy theorem to solve each of these problems. You can use Newton’s laws to check your answers.

1)A skier moving at 5.55 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?

2)Suppose the rough patch in part A was only 2.97 m long. How fast would the skier be moving when she reached the end of the patch?

3)At the base of a frictionless icy hill that rises at 25.0∘ above the horizontal, a toboggan has a speed of 12.5 m/s toward the hill. How high vertically above the base will it go before stopping?