Halliday, Resnick & Walker — Force and Motion–II: Problem 37_M_FCP

Continuation of Problem 8. Now assume that Eq. 6.2.1 gives the magnitude of the air drag force on the typical 20 kg stone, which presents to the wind a vertical cross-sectional area of $0.040 \text{ m}^2$ and has a drag coefficient $C$ of 0.80. Take the air density to be $1.21 \text{ kg/m}^3$, and the coefficient of kinetic friction to be 0.80. (a) In kilometers per hour, what wind speed $V$ along the ground is needed to maintain the stone’s motion once it has started moving? Because winds along the ground are retarded by the ground, the wind speeds reported for storms are often measured at a height of 10 m. Assume wind speeds are 2.00 times those along the ground. (b) For your answer to (a), what wind speed would be reported for the storm? (c) Is that value reasonable for a high-speed wind in a storm? (Story continues with Problem 65.)