Continuation of 8 and 37. Another explanation is that the stones move only when the
Chapter 6, Problem 65(choose chapter or problem)
Continuation of 8 and 37. Another explanation is that the stones move only when the water dumped on the playa during a storm freezes into a large, thin sheet of ice. The stones are trapped in place in the ice. Then, as air flows across the ice during a wind, the air-drag forces on the ice and stones move them both, with the stones gouging out the trails. The magnitude of the air-drag force on this horizontal ice sail is given by Dice 4CicerAicev2 , where Cice is the drag coefficient (2.0 103 ), r is the air density (1.21 kg/m3 ), Aice is the horizontal area of the ice, and v is the wind speed along the ice. Assume the following: The ice sheet measures 400 m by 500 m by 4.0 mm and has a coefficient of kinetic friction of 0.10 with the ground and a density of 917 kg/m3 . Also assume that 100 stones identical to the one in are trapped in the ice. To maintain the motion of the sheet, what are the required wind speeds (a) near the sheet and (b) at a height of 10 m? (c) Are these reasonable values for high-speed winds in a storm?
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