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? 2 (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?