# Problem: A 61.0-kg skier starts from rest at the top of a ski slope of height 66.0 m .If frictional forces do −1.06×104 J of work on her as she descends, how fast is she going at the bottom of the slope?Now moving horizontally, the skier crosses a patch of soft snow, where the coefficient of friction is 0.21. If the patch is of width 66.0 m and the average force of air resistance on the skier is 170 N , how fast is she going after crossing the patch?After crossing the patch of soft snow, the skier hits a snowdrift and penetrates a distance 2.6 m into it before coming to a stop. What is the average force exerted on her by the snowdrift as it stops her?

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###### Problem Details

A 61.0-kg skier starts from rest at the top of a ski slope of height 66.0 m .

If frictional forces do −1.06×104 J of work on her as she descends, how fast is she going at the bottom of the slope?

Now moving horizontally, the skier crosses a patch of soft snow, where the coefficient of friction is 0.21. If the patch is of width 66.0 m and the average force of air resistance on the skier is 170 N , how fast is she going after crossing the patch?

After crossing the patch of soft snow, the skier hits a snowdrift and penetrates a distance 2.6 m into it before coming to a stop. What is the average force exerted on her by the snowdrift as it stops her?

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Conservative Forces & Inclined Planes concept. You can view video lessons to learn Conservative Forces & Inclined Planes. Or if you need more Conservative Forces & Inclined Planes practice, you can also practice Conservative Forces & Inclined Planes practice problems.