The dominant form of drag experienced by vehicles (bikes, cars, planes, etc.) at operating speeds is called form drag. it increases quadratically with velocity (essentially because the amount of air you run into increases with v and so does the amount of force you must exert on each small volume of air). thus fdrag = c dav2, where a is the cross-sectional area of the vehicle and cd is called the coefficient of drag.

consider a vehicle moving with constant velocity v. find the power dissipated by form drag.

Consider the particle-in-a-box problem in 1d. a particle with mass m is confined to move freely between two hard walls situated at x = 0 and x = l. the potential energy function is given as (a) describe the boundary conditions that must be satisfied by the wavefunctions ψ(x) (such as energy eigenfunctions). (b) solve the schr¨odinger’s equation and by using the boundary conditions of part (a) find all energy eigenfunctions, ψn(x), and the corresponding energies, en. (c) what are the allowed values of the quantum number n above? how did you decide on that? (d) what is the de broglie wavelength for the ground state? (e) sketch a plot of the lowest 3 levels’ wavefunctions (ψn(x) vs x). don’t forget to mark the positions of the walls on the graphs. (f) in a transition between the energy levels above, which transition produces the longest wavelength λ for the emitted photon? what is the corresponding wavele

Acompound machine is also called a machine. a. force b. simple c. complex d. directional

Give me a example of a decomposer. explain what would happen if decomposers were absent from a forest ecosystem