Arectangular slab with uniform volume charge density rho has thick- ness 2l in the x direction and infinite extent in the y and z direc- tions. let the x coordinate be measured relative to the center plane of the slab. for values of x both inside and outside the slab: (a) find the electric field e(x) (you can do this by considering the amount of charge on either side of x, or by using gauss’s law); (b) find the potential φ(x), with φ taken to be zero at x = 0; (c) verify that rho(x) = ε0∇ · e(x) and rho(x) = −ε0∇2φ(x).

It is may 5 and you are somewhere in the northern hemisphere. if you determine that the noon sun is 51 degrees above your southern horizon, what is the latitude of your location

Askydiver weighing 140 lb (including equipment) falls vertically downward from an altitude of 19,000 ft and opens the parachute after 18 s of free fall. assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0.55|v| when the parachute is closed and is of magnitude 14|v| when the parachute is open, where the velocity v is measured in ft/s. assume that acceleration due to gravity has magnitude 32 ft/s/s; remember that weight is the product of mass and gravitational acceleration. (a) find the speed of the skydiver when the parachute opens. (b) find the distance fallen before the parachute opens. (c) what is the limiting velocity vl after the parachute opens? (d) determine how long the sky diver is in the air after the parachute opens. (e) plot the graph of velocity versus time from the beginning of the fall until the skydiver reaches the ground.

In a voltaic cell, electrons flow from the (positive/negative) to the (positive/negative) terminal.