Final answer:
The question asks for the air speed over the upper surface of an aircraft's wing during takeoff needed to achieve the desired lift, applying principles of aerodynamics and specifically Bernoulli's principle.
Step-by-step explanation:
The question relates to the principles of lift in aerodynamics and how these principles apply to an aircraft's wing during takeoff. A wing must produce a certain amount of lift, which depends on the air speed over the upper surface of the wing. Using Bernoulli's principle and the given condition of 1000 N of lift per square meter of wing at sea level conditions, one can determine the necessary air speed over the top of the wing.
Given the density of air at sea level (1.29 kg/m³) and the aircraft traveling at 60.0 m/s relative to the bottom of the wing, the air must travel faster over the upper surface to decrease the pressure above the wing and generate lift. Since we know the speed at the bottom of the wing, we would utilize the equation derived from Bernoulli's principle to find the required speed on the top.
However, to answer the question about the specific velocity over the upper surface needed to create an ideal lift, we would need to apply Bernoulli's equation and solve for the unknown velocity, taking the pressure difference into account to achieve the desired 1000 N of lift. This process will involve use of the continuity equation and Bernoulli's equation together to calculate the desired velocity.