Final answer:
The question deals with physics concepts related to forces on a balloon in the wind and the Bernoulli effect on a roof. The net force causes the balloon to accelerate in the wind's direction, and the Bernoulli principle aids in approximating wind's force impact on structures.
Step-by-step explanation:
The student's question involves concepts from physics, specifically related to the effects of wind pressures and the forces acting on an object, in this case, a balloon. In the diagram provided, Fg denotes the force due to gravity, and Fb denotes the buoyant force. These forces are equal in magnitude but opposite in direction. Fc represents the force of the current, and Fw represents the force of the wind. The net force on the balloon is calculated as Fw - Fc = 4.0 N, which means the balloon will accelerate in the direction the wind is blowing. Bernoulli's principle is used to understand the impact of winds on surfaces, such as the force on a roof due to the Bernoulli effect and on a sail based on wind velocities on its front and back surfaces.
Regarding the specific question about the force due to the Bernoulli effect on a roof having an area of 220 m² in Boulder, Colorado, it involves the calculation of forces using Bernoulli's principle and additional information such as the air density and atmospheric pressure. This calculation will provide an approximate result due to the turbulent conditions. Vector calculus is often used to capture such dynamics involving rates of change in pressure or wind speed, which are critical in understanding atmospheric motion driven by pressure and temperature changes.