Problem. You are skiing downhill in Lake Tahoe Ski Resort. You start from the height 500 m above the lake level and slide 500 m over the run that makes 30° angle with respect to horizontal. Initially your speed is zero. Lake level 30° We learned from the last quiz that if you neglect friction and air resistance, your speed at the end of the run will be as large as 220 mph! Now lets account for friction and air resistance in your downhill run: a) What will be your speed at the end of the run if you take into account air resistance but neglect friction? Assume the drag coefficient 0.6, the air density is 1.2 kg/m³, the typical mass of a human 80 kg and its cross- sectional area 0.5 m², and that the skier will reach its terminal velocity at the end of the run. Give the final answer in miles per hour. Acceleration of gravity is 9.8 m/s², and 1 mile = 1.609 km. b) What will be your speed at the end of the run if you now account for friction between your skis and the snow but neglect air resistance? Assume the kinetic friction coefficient 0.5. Give the answer in miles per hour. c) What will be your speed at the end of the run if you take both friction and air resistance into account? Assume the same data as above and that the skier will reach its terminal velocity at the end of the run. Give the answer in miles per hour.
Problem. You are skiing downhill in Lake Tahoe Ski Resort. You start from the height 500 m above the lake level and slide 500 m over the run that makes 30° angle with respect to horizontal. Initially your speed is zero. Lake level 30° We learned from the last quiz that if you neglect friction and air resistance, your speed at the end of the run will be as large as 220 mph! Now lets account for friction and air resistance in your downhill run: a) What will be your speed at the end of the run if you take into account air resistance but neglect friction? Assume the drag coefficient 0.6, the air density is 1.2 kg/m³, the typical mass of a human 80 kg and its cross- sectional area 0.5 m², and that the skier will reach its terminal velocity at the end of the run. Give the final answer in miles per hour. Acceleration of gravity is 9.8 m/s², and 1 mile = 1.609 km. b) What will be your speed at the end of the run if you now account for friction between your skis and the snow but neglect air resistance? Assume the kinetic friction coefficient 0.5. Give the answer in miles per hour. c) What will be your speed at the end of the run if you take both friction and air resistance into account? Assume the same data as above and that the skier will reach its terminal velocity at the end of the run. Give the answer in miles per hour.
College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter5: Energy
Section5.3: Gravitational Potential Energy
Problem 5.2QQ: Three identical halls are thrown from the top of a building, all with the same initial speed. The...
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