Density of states of a free electron gas (a) calculate the density of states of a three-dimensional free electron gas dg(e) at zero temperature (b) using a computer program: plot the density of states dg (e) at zero temperature and at finite temperature, i. e. do(e) ffd(e, t) (c) calculate the density of states at the fermi energy, i. e. do(ef) (at t 0 k) (d) calculate the mean value of the energy of the electronic system (at t 0 k) ef 1 e 2dc (e) de (e)t=0k =

If the speed of a particle triples ,by what factor does its kinetic energy increase?

Aball tossed vertically upward from the ground next to a building passes the bottom of a window 1.8 s after being tossed and passes the top of the window 0.20 s later. the window is 2.0 m high from top to bottom. what was the ball's initial velocity? the unit vector j^ is directed upward. how far is the bottom of the window from the launch position? how high does the ball rise above the launch position?

Acarpenter builds an exterior house wall with a layer of wood 2.9 cm thick on the outside and a layer of styrofoam insulation 2.3 cm thick on the inside wall surface. the wood has k=0.080w/(m⋅k), and the styrofoam has k= 0.010 w/(m⋅k). the interior surface temperature is 19.0 ∘c , and the exterior surface temperature is -15.0 ∘c . a.)what is the temperature at the plane where the wood meets the styrofoam? celsius b.)what is the rate of heat flow per square meter through this wall? /m^2