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PLEASE FORGIVE my voice quality in these (Chapter 3) videos. I made them while suffering from a severely sore throat.
1. Vector A has a magnitude of 31 units and points in the positive Y-direction. When vector B is added to A, the resultant vector A+B points in the negative y-direction with a magnitude of 17 units. Find the magnitude and direction of vector B?
Magnitude______Units?
Direction (+x, -x, +y, or -y)?
2. Vector A has a magnitude of 8.00 units and makes an angle of 45 degrees counter-clockwise from the positive x-axis. Vector B also has a magnitude of 8 units and is directed along the negative x-axis.
a). Using the graphical methods, find the vector sum, A+B. (Do this on paper. Your instructor may ask you to turn in this work).
b). Using the graphical methods, find the vector difference, A-B. (Do this on paper. Your instructor may ask you to turn in this work
3. A plane flies from base camp to lake A, a distance of 280 km at a direction of 20.0 degrees north of east. After dropping off supplies, the plane flies to lake B, which is 190 km and 30.0 degrees west of north from lake A. Graphically determine the distance and direction from lake B to the base camp. (Do this on paper. your instructor may ask you to turn in this work).
4. A force F1 of magnitude 6.60 units acts on an object at the origin in a direction θ = 26.0 degrees above the positive x-axis. (see the figure below). A second force F2 of magnitude 5.00 units acts on the object in the direction of the positive y-axis. Find graphically the magnitude and direction of the resultant force F1 + F2
Magnitude ________ Units
Direction __________ degrees counterclockwise from the +x axis
5. A person walks 30.0 degrees north of East for 3.30 km. How far due north and how far due east would she have to walk to arrive at the same location?
North ________ km
East __________km
6.The magnitude of vector A is 39.5 units and points in the direction 330 degrees counterclockwise from the positive x axis. Calculate the x and y-components of this vector
Ax = __________ Units
Ay = __________Units
7. A girl delivering newspapers covers her route by traveling 8.00 blocks west, 4.00 blocks north, and then 4.00 blocks east.
a). What is her resultant displacement?
_____ blocks
b). What is the total distance she travels?
_____ blocks
8. A vector has an x-component of -27.0 units and a y-component of 30.0 units. Find the magnitude and direction of the vector.
magnitude ______ units
direction ______ degrees (counterclockwise from the +x-axis)
9. The eye of a hurricane passes over Grand Bahama Island in a direction 60.0 degrees north of west with a speed of 44.0 km/h. Three hours later, the course of the hurricane suddenly shifts due north, and its speed slows to 22.0 km/h. How far from Grand Bahama is the hurricane 4.40 h after it passes over the island?
_______km
Purchase the Calculator for Chapter 3 Problem 9 ($1.35)
PLEASE FORGIVE my voice quality in these (Chapter 3) videos. I made them while suffering from a severely sore throat.
1. Vector A has a magnitude of 31 units and points in the positive Y-direction. When vector B is added to A, the resultant vector A+B points in the negative y-direction with a magnitude of 17 units. Find the magnitude and direction of vector B?
Magnitude______Units?
Direction (+x, -x, +y, or -y)?
2. Vector A has a magnitude of 8.00 units and makes an angle of 45 degrees counter-clockwise from the positive x-axis. Vector B also has a magnitude of 8 units and is directed along the negative x-axis.
a). Using the graphical methods, find the vector sum, A+B. (Do this on paper. Your instructor may ask you to turn in this work).
b). Using the graphical methods, find the vector difference, A-B. (Do this on paper. Your instructor may ask you to turn in this work
3. A plane flies from base camp to lake A, a distance of 280 km at a direction of 20.0 degrees north of east. After dropping off supplies, the plane flies to lake B, which is 190 km and 30.0 degrees west of north from lake A. Graphically determine the distance and direction from lake B to the base camp. (Do this on paper. your instructor may ask you to turn in this work).
4. A force F1 of magnitude 6.60 units acts on an object at the origin in a direction θ = 26.0 degrees above the positive x-axis. (see the figure below). A second force F2 of magnitude 5.00 units acts on the object in the direction of the positive y-axis. Find graphically the magnitude and direction of the resultant force F1 + F2
Magnitude ________ Units
Direction __________ degrees counterclockwise from the +x axis
5. A person walks 30.0 degrees north of East for 3.30 km. How far due north and how far due east would she have to walk to arrive at the same location?
North ________ km
East __________km
6.The magnitude of vector A is 39.5 units and points in the direction 330 degrees counterclockwise from the positive x axis. Calculate the x and y-components of this vector
Ax = __________ Units
Ay = __________Units
7. A girl delivering newspapers covers her route by traveling 8.00 blocks west, 4.00 blocks north, and then 4.00 blocks east.
a). What is her resultant displacement?
_____ blocks
b). What is the total distance she travels?
_____ blocks
8. A vector has an x-component of -27.0 units and a y-component of 30.0 units. Find the magnitude and direction of the vector.
magnitude ______ units
direction ______ degrees (counterclockwise from the +x-axis)
9. The eye of a hurricane passes over Grand Bahama Island in a direction 60.0 degrees north of west with a speed of 44.0 km/h. Three hours later, the course of the hurricane suddenly shifts due north, and its speed slows to 22.0 km/h. How far from Grand Bahama is the hurricane 4.40 h after it passes over the island?
_______km
Purchase the Calculator for Chapter 3 Problem 9 ($1.35)
10. A map suggests that Atlanta is 730 miles in a direction 5.00 degrees north of east from Dallas. The same map shows that Chicago is 560 miles in a direction 21.0 degrees west of north from Atlanta. The figure below shows the location of these three cities. Modeling the Earth as flat, use this information to find the displacement from Dallas to Chicago.
Magnitude _______mi
Direction _______ degrees north of east of Dallas
11. A commuter airplane starts from an airport and takes the route shown in the figure below. The plane first flies to city A, located 175 km away in the direction 30.0 degrees north of east. Next, it flies for 150 km 20.0 degrees west of north, to city B. Finally, the plane flies 190 km due west, to city C. Find the location of city C relative to the location of the starting point.
Distance ________ km
angle _________ degrees west of north
12. The helicopter view in the figure below shows two people pulling on a stubborn mule. (Take F1 = 146 N and F2 = 79.0 N).
a) Find the single force that is equivalent to the two forces shown above.
Magnitude __________ N
direction _________ degrees counter clockwise from the x-axis
b) Find the force that a third person would have to exert on the mule to make the net force equal to zero.
Magnitude ________ N
direction _________ degrees (counterclockwise from the x-axis)
13.One of the fastest recorded pitches in major-league baseball, thrown by Tim Lincecum in 2009, was clocked at 101.0 mi/h (see the figure). If a pitch were thrown horizontally with this velocity, how far would the ball fall vertically by the time it reached home plate, 60.5 ft away?
______ ft
14. The best leaper in the animal kingdom is the puma, which can jump to a height of 3.7 m when leaving the ground at an angle of 45 degrees. With what speed must the animal leave the ground to reach that height?
___________m/s
Another way to solve this problem:
15. A place-kicker must kick a football from a point of 36.0 m (about 40 yards) from the goal. Half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 22.8 m/s at an angle of 50.0 degrees to the horizontal.
a). By how much does the ball clear or fall short (vertically) of clearing the crossbar? (Enter a negative answer if it falls short).
______m
b). Does the ball approach the crossbar (and cross above or beneath it) while still rising or while falling?
--Rising
--Falling
16. A brick is thrown upward from the top of a building at an angle of 20 degrees to the horizontal and with an initial speed of 12 m/s. If the brick is in flight for 3.0 s, how tall is the building?
_______ m
17. An artillery shell is fired with an initial velocity of 300 m/s at 55 degrees above the horizontal. To clear an avalanche, it explodes on a mountainside 43.0 s after firing. What are the x- and y-coordinates of the shell where it explodes, relative to its firing point?
x = ______ m
y = _______ m
18. A fireman d = 56.0 m away from a burning building directs a stream of water from a ground-level fire hose at an angle of θi = 24.0 degrees above the horizontal as shown in the figure. If the speed of the streram as it leaves the hose is vi = 40.0 m/s, at what height will the stream of water strike the building?
________ m