4) An LFCAC with mass 50 kg is on a ski slope. He starts at elevation 2000 meter

Question

4) An LFCAC with mass 50 kg is on a ski slope. He starts at elevation 2000 meters and ends at elevation 1800 meters. His initial speed is essentially zero. Unfortunately he used the wrong kind of wax on his skis and there is a lot of friction between the skis and the slope. When he reaches the 1800 meter elevation he is travelling at a speed of 30 m/s. Assume all the work done due to friction goes into melting the snow. If it takes 3.34 x 10s Joules of energy to melt a kg of snow, how many kg of snow are melted? (10 Points)

Explanation / Answer

Applying work - energy theorem,

Work done by gravity + work done by friction = change in KE

(50 x 9.8 (2000 - 1800)) + (W) = 50 (30^2 / 2 - 0 )

W = 75500 J

75500 = m (3.34 x 10^5)

m = 0.226 kg

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