What is the required wind speed near the sheet

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Continuation of Problem 8 and Problem 37. Another explanation for the sliding stones of Racetrack Playa in Death Valley, California 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 = 4Cice?Aicev2, where Cice is the drag coefficient (2.0 × 10-3), ? 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 320 m by 690 m by 4.9 mm and has a coefficient of kinetic friction of 0.11 with the ground and a density of 917 kg/m3. Also assume that 100 stones of mass 24 kg are trapped in the ice. To maintain the motion of the sheet, what is the required wind speed near the sheet?

Reference no: EM13330103

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