Question

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

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=__)

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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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