Question

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

Part A) A skier moving at 5.23 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? (s=__)

Part B) Suppose the rough patch in part A was only 2.85 m long. How fast would the skier be moving when she reached the end of the patch? (v=__)

Part C) At the base of a frictionless icy hill that rises at 25.0? above the horizontal, a toboggan has a speed of 12.3 m/s toward the hill. How high vertically above the base will it go before stopping? (y=__)

Answer #1

A) By conservation of energy

Hence the distance traveled before she stops is

B) If the rough patch is d = 2.85 long

work energy conservation gives

Hence the speed after she reaches the end of the patch is

C) The energy conservation gives

Hence the vertical height reached before stopping is

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