The force, F, acting on the wings of an aircraft moving through the air of velocity, v, and density, ρ, is given by the equation F = \(kv^xρ^yA^z\), where k is a dimensionless constant and A is the surface area of the wings of the aircraft. Use dimensional analysis to determine the values of x, y, and z.

a. Define strain energy.

b. Write an expression for the energy stored, E, in a stretched wire of original length, l , cross-sectional area, A, extension, e, and Young's modulus, Y, of the material of the wire.

a. A projectile is fired at an angle, θ, to the horizontal with velocity, u. Show that at any time, t, during the motion, the: i. horizontal component of the velocity is independent of t;

ii. vertical component of the velocity depends on t.

b. State the assumption on which projectile motion is based.

State three differences between geostationary satellites and polar satellites.

a. Using the kinetic theory, explain the term diffusion of fluid molecules.

b. Name one phenomenon that demonstrates that light behaves as a:

 i. wave ii. particles