Problem 7 (Parachutes)
A skydiver relies on her parachute to reduce her acceleration toward the ground. Assume the drag is only inertial.
A. If she has a mass of 100 kg (parachute included, but not deployed) and a cross-sectional area of 0.7 m², what is her terminal speed in mi/hr? Assume she reaches this speed before she hits the ground. (Use g = 10 m/s², CD = 1, Ļair = 1.225 kg/m³, 1 m/s = 2.24 mi/hr.)
B. Even though the inertial drag on her body prevents her from accelerating indefinitely, landing with the terminal speed you found in part A would still be lethal. Fortunately, she can deploy her parachute, which has a cross-sectional area of 18 m² and a drag coefficient of 1.5. The drag force the air exerts on her body is negligible compared to that exerted on the parachute, so we ignore it and treat the parachute+skydiver system as a unit with the area and drag coefficient given above. What is the new terminal speed of the system in mi/hr?