The equation upper e equals startfraction 1 over 2 pi epsilon subscript 0 endfraction startfraction q ⁢ d over z superscript 3 endfraction is approximation of the magnitude of the electric field of an electric dipole, at points along the dipole axis. consider a point p on that axis at distance z = 9.00d from the dipole center (d is the separation distance between the particles of the dipole). let eappr be the magnitude of the field at point p as approximated by the equations below. let eact be the actual magnitude. what is the ratio eappr /eact?

Part f - example: finding two forces (part i) two dimensional dynamics often involves solving for two unknown quantities in two separate equations describing the total force. the block in (figure 1) has a mass m=10kg and is being pulled by a force f on a table with coefficient of static friction îľs=0.3. four forces act on it: the applied force f (directed î¸=30â above the horizontal). the force of gravity fg=mg (directly down, where g=9.8m/s2). the normal force n (directly up). the force of static friction fs (directly left, opposing any potential motion). if we want to find the size of the force necessary to just barely overcome static friction (in which case fs=îľsn), we use the condition that the sum of the forces in both directions must be 0. using some basic trigonometry, we can write this condition out for the forces in both the horizontal and vertical directions, respectively, as: fcosî¸â’îľsn=0 fsinî¸+nâ’mg=0 in order to find the magnitude of force f, we have to solve a system of two equations with both f and the normal force n unknown. use the methods we have learned to find an expression for f in terms of m, g, î¸, and îľs (no n).

What do you think car designers do if the damage caused by a crash test is too severe?

Considering only the earth's rotation, determine how much later the asteroid would have had to arrive to put the explosion above helsinki at longitude 25˚ e? this would have obliterated the city.