Two snowy peaks are 996 m and 896 m above the valley, Ask an Expert

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Two snowy peaks are 996 m and 896 m above the valley between them. A ski run extends down from the top of the higher peak and then back up to the top of the lower one, with a total length of 3.3 km and an average slope of 30.0°. A skier starts from rest on the higher peak.

a) At what speed will she arrive at the top of the lower peak if she just coasts without using the poles? Ignore friction.

b) Approximately what coefficient of kinetic friction between the snow and skis would make the skier stop just at the top of the lower peak?

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