4. The diagram below represents two concurrent forces.
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1 1. Two 20.-newton forces act concurrently on an object. What angle between these forces will produce a resultant force with the greatest magnitude? A) 0º B) 45º C) 90.º D) 180.º 2. Two forces act concurrently on an object on a horizontal, frictionless surface, as shown in the diagram below. What additional force, when applied to the object, will establish equilibrium? A) 16 N toward the right B) 16 N toward the left C) 4 N toward the right D) 4 N toward the left 3. A motorboat, which has a speed of 5.0 meters per second in still water, is headed east as it crosses a river flowing south at 3.3 meters per second. What is the magnitude of the boat's resultant velocity with respect to the starting point? A) 3.3 m/s B) 5.0 m/s C) 6.0 m/s D) 8.3 m/s 4. The diagram below represents two concurrent forces. Which vector represents the force that will produce equilibrium with these two forces? A) B) C) D)
2 5. In the diagram below, a 20.-newton force due north and a 20.-newton force due east act concurrently on an object, as shown in the diagram below. The additional force necessary to bring the object into a state of equilibrium is A) 20. N, northeast B) 20. N, southwest C) 28 N, northeast D) 28 N, southwest 6. The diagram below shows a resultant vector, R. Which diagram best represents a pair of component vectors, A and B, that would combine to form resultant vector R? A) B) C) D)
3 7. Which vector diagram represents the greatest magnitude of displacement for an object? A) B) C) D) 8. What is the total displacement of a student who walks 3 blocks east, 2 blocks north, 1 block west, and then 2 blocks south? A) 0 B) 2 blocks east C) 2 blocks west D) 8 blocks 9. Two students push on a sled. One pushes with a force of 30. newtons east and the other exerts a force of 40. newtons south, as shown in the topview diagram below. Which vector best represents the resultant of these two forces? A) B) 11. The components of a 15-meters-per-second velocity at an angle of 60. above the horizontal are A) 7.5 m/s vertical and 13 m/s horizontal B) 13 m/s vertical and 7.5 m/s horizontal C) 6.0 m/s vertical and 9.0 m/s horizontal D) 9.0 m/s vertical and 6.0 m/s horizontal 12. A ball is thrown with an initial speed of 10. meters per second. At what angle above the horizontal should the ball be thrown to reach the greatest height? A) 0 B) 30. C) 45 D) A child pulls a wagon at a constant velocity along a level sidewalk. The child does this by applying a 22-newton force to the wagon handle, which is inclined at 35 to the sidewalk as shown below. C) D) 10. A 5-newton force directed east and a 5-newton force directed north act concurrently on a point. The resultant of the two forces is A) 5 N northeast B) 10 N southwest C) 7 N northeast D) 7 N southwest What is the magnitude of the force of friction on the wagon? A) 11 N B) 13 N C) 18 N D) 22 N 14. Which quantity is scalar? A) mass B) force C) momentum D) acceleration
4 15. Base your answer to the following question on the information below. In a drill during basketball practice, a player runs the length of the 30.-meter court and back. The player does this three times in 60. seconds. The magnitude of the player's total displacement after running the drill is A) 0.0 m B) 30. m C) 60. m D) 180 m 16. Scalar is to vector as A) speed is to velocity B) displacement is to distance C) displacement is to velocity D) speed is to distance 17. The speedometer in a car does not measure the car s velocity because velocity is a A) vector quantity and has a direction associated with it B) vector quantity and does not have a direction associated with it C) scalar quantity and has a direction associated with it D) scalar quantity and does not have a direction associated with it
5 Base your answers to questions 18 through 21 on the information and vector diagram below and on your knowledge of physics. A hiker starts at point P and walks 2.0 kilometers due east and then 1.4 kilometers due north. The vectors in the diagram below represent these two displacements. 18. Determine the magnitude of the hiker's resultant displacement. 19. Determine the magnitude of the hiker's resultant displacement. 20. Using a protractor, determine the angle between east and the hiker's resultant displacement. 21. Determine the magnitude of the hiker's resultant displacement.
6 22. Draw a diagram for the following question. Solve the following question using the math and scaled version! A car travels 30m west and 20m north. Scaled: Draw a scaled diagram 1. 1 cm = meters 2. Resultant = cm ==> Resultant = meters 3. Equilibrant = cm ==> Equilibrant = meters Mathematically: 1. What is the exact value of the resultant? 2. What is the exact value of the equilibrant? Why is the math scaled versions not exactly the same?
7 Answer Key vector review sheet 1. A 2. D 3. C 4. C 5. D 6. A 7. B 8. B 9. D 10. C 11. B 12. D 13. C 14. A 15. A 16. A 17. A km 0.2 km or for an answer that is the product of the length of the resultant (in cm) drawn by the student for question 67 and km 0.2 km or for an answer that is the product of the length of the resultant (in cm) drawn by the student for question 67 and or for an answer that is the angle between the 2.0-km vector and km 0.2 km or for an answer that is the product of the length of the resultant (in cm) drawn by the student for question 67 and
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