You hike for 1.9 hours at a speed of 3 mph in the southwest direction (-135 degrees ). Then you head ESE (-16 degrees) for 7.3 miles at the same speed. a) How many miles have you hiked?

b) How many miles your destination is from your starting point (as the crow flies).

c) What direction is your destination from your starting point? What would a compass read?

d) For how many hours have you hiked?

What color would an object that reflects green and blue light appear to be in white light? a. blue b. cyan c. magenta d. black

Heena wants to measure the volume of a ball that is 24 cm across. how should she set up her equation?

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).