Three sisters go skiing. Each has a mass of m = 50 kg. There are three different

Question

Three sisters go skiing. Each has a mass of m = 50 kg. There are three different routes to the bottom. Route A: a constant slope of 3.81 degrees for 12,027 meters. Route B: a gentle slope of 1.83 degrees for 25,013 meters. Route C: a steep slope of 18.43 degrees for 2527 meters. Each sister takes one route, and each starts from rest at the top of the hill letting gravity do the work. Ignore friction. (a) How much work does gravity do on each sister during the descent? (6 pts). (b) How fast is each sister going when she reaches the bottom?

Explanation / Answer

a)W=mg*l1 sin theta 1=mgl2 sin theta2=mgl3 sin theta3=391593.6 b)v = sqrt(2*g*l1 sin theta 1)=sqrt(2*g*l2 sin theta 2)=sqrt(2*g*l3 sin theta 3)=125.15

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