(mp24573) pavlyukovskyy Homework 3 Weathers (17104) This print-out should have 9 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 (part 1 of 2) 10.0 points Two sides of a triangle are 17.6 cm and 21.8 cm, with the included angle 113 . a) What is the length of the third side? Answer in units of cm. 002 (part 2 of 2) 10.0 points b) What is angle opposite the side 17.6 cm? Answer in units of . 003 10.0 points A high fountain of water is located at the center of a circular pool as in the gure. A student walks around the pool and estimates its circumference to be 120 m. Next, the student stands at the edge of the pool and uses a protractor to gauge the angle of elevation of the top of the fountain to be 78.7 .
N W S y B R A x E
1
Find the magnitude of the cars resultant displacement. Answer in units of km. 006 (part 2 of 2) 10.0 points Calculate the direction of the cars resultant displacement, measured counterclockwise from the northerly direction. Answer in units of . 007 (part 1 of 2) 10.0 points A man pushing a mop across a oor causes the mop to undergo two displacements. The rst has a magnitude of 177 cm and makes an angle 142 of with the positive x-axis. The resultant displacement has a magnitude of 163 cm and is directed at an angle of 26.1 to the positive x-axis. Find the magnitude of the second displacement. Answer in units of cm. 008 (part 2 of 2) 10.0 points Find the direction of the second displacement with respect to positive x axis. (Consider counterclockwise to be positive and answer within the limits of 180 to 180 .) Answer in units of . 009 10.0 points Particle 1 is moving on the x-axis with an acceleration of 4.65 m/s2 in the positive xdirection. Particle 2 is moving on the yaxis with an acceleration of 6.2 m/s2 in the negative y-direction. Both particles were at rest at the origin at t = 0 s. Find the speed of particle 1 with respect to particle 2 at 6.01 s. Answer in units of m/s.
How high is the fountain? Answer in units of m. 004 10.0 points Two airplanes leave an airport at the same time. The velocity of the rst airplane is 740 m/h at a heading of 37.4 . The velocity of the second is 550 m/h at a heading of 116 . How far apart are they after 2.7 h? Answer in units of m. 005 (part 1 of 2) 10.0 points A car travels 21.5 km due north and then 30.9 km in a direction = 42.3 west of north.