Suppose you take two steps a and b (that is, two nonzero displacements). under what circumstances can you end up at your starting point? more generally, under what circumstances can two nonzero vectors add to give zero? is the maximum distance you can end up from the starting point a+b the sum of the lengths of the two steps?

Aray diagram for a refracted light day is shown. what does the dashed line represent

Jessie ran 5000 meters from the cops and an average speed of 6 meters / second before he got caught . how long did he run?

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).