The relationship between plane mass, wing area, and lift force can be described by the equation: Lift force = 1/2 * air density * wing area * velocity^2 * lift coefficient. This means that the lift force is directly proportional to the wing area and the velocity squared, and is also affected by the density of the air and the lift coefficient of the wing.
Increasing the wing area of a plane will increase the lift force, as the larger surface area of the wing will create more lift. This is why wings of larger planes are longer and wider than those of smaller planes.
The mass of a plane is determined by its structural components, fuel, cargo, and passengers. The materials used to construct the plane, as well as its size and design, also play a role in its overall mass.
The lift coefficient is a dimensionless quantity that represents the amount of lift generated by a wing for a given angle of attack. A higher lift coefficient means that the wing is more efficient at creating lift, resulting in a higher lift force.
The air density can affect the lift force of a plane as it impacts the amount of air molecules passing over and under the wings. Higher air density means more air molecules, resulting in more lift force. This is why planes typically have more lift force at lower altitudes where the air density is higher.