Review sheet # Which vector below represents the resultant of the two displacement vectors shown?

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1 Name: ate: 1. Which vector below represents the resultant of the two displacement vectors shown? 6. The maximum resultant of two forces acting on an object will occur when the angle between the forces is Which is a vector quantity? 7. Which vector best represents the resultant of forces F 1 and F 2 acting concurrently on point P, as shown in the diagram?. distance. time. mass. velocity.. 3. When two concurrent forces of 4 newtons and 10 newtons, respectively, act on a point, their maximum possible resultant is newtons. 10 newtons. 6 newtons. 4 newtons 4. vector is a quantity that has. magnitude, only. direction, only. either magnitude or direction 8. resultant force of 10 newtons is made up of two complete component forces acting at right angles to each other. If the magnitude of one of the components is 6.0 newtons, the magnitude of the other component must be. 16 N. 8.0 N. 6.0 N. 4 N. both magnitude and direction 5. What is the magnitude of the resultant of a 3.0-meter displacement and a 4.0-meter displacement as shown in the diagram?. 1.0 meter. 5.0 meters. 7.0 meters. 12 meters 9. Which vector best represents the resultant forces F 1 and F 2 acting concurrently on point P as shown in the diagram?.... page 1

2 10. resultant force of 10 newtons is made up of two component forces acting at right angles to each other. If the magnitude of one of the components is 6.0 newtons, the magnitude of the other component must be 14. Which vector shown represents the resultant of the concurrent vectors and in the diagram given?.. 16 N. 8.0 N. 6.0 N. 4 N. 11. Two forces ( O and O) act simultaneously at point O as shown on the diagram. The magnitude of the resultant force is closest to. 8.0 N. 11 N.. 15 N. 16 N. 12. Which diagram represents the vector with the largest downward component? [ssume each vector has the same magnitude.] student walks 3 blocks south, 4 blocks west, and 3 blocks north. What is the displacement of the student?. 10 blocks east. 10 blocks west. 4 blocks east. 4 blocks west Two perpendicular forces act on an object as shown in the diagram. What is the magnitude of the resultant force on the object?. 17 N. 13 N. 7.0 N. 5.0 N 13. person travels 6 meters north, 4 meters east, and 6 meters south. What is the total displacement?. 16 m east. 6 m north. 6 m south. 4 m east page 2

3 17. student walks 1.0 kilometer due east and 1.0 kilometer due south. Then she runs 2.0 kilometers due west. The magnitude of the student s resultant displacement is closest to. 0 km. 1.4 km. 3.4 km. 4.0 km 20. Which pair of concurrent forces could produce a resultant force having a magnitude of 10 newtons?. 10 N, 10 N. 10 N, 30 N. 4.7 N, 4.7 N. 4.7 N, 5.0 N newton force and a 4.0-newton force act concurrently on a point. In which diagram shown would the orientation of these forces produce the greatest net force on the point?. 21. What is the total displacement of a student who walks 3 blocks east, 2 blocks north, 1 block west, and then 2 blocks south? blocks east.. 2 blocks west. 8 blocks newton force acts on point P, as shown in the diagram. The magnitude of the vertical component of this force is approximately 19. Two concurrent forces have a maximum resultant of 45 newtons and a minimum resultant of 5.0 newtons. What is the magnitude of each of these forces?. 30 N. 50 N. 71 N. 87 N. 0.0 N and 45 N. 5.0 N and 9.0 N. 20 N and 25 N. 0.0 N and 50 N page 3

4 23. ase your answer to the following question on the information and vector diagram shown. The diagram is provided for practice purposes only. 28. The accompanying diagram shows a projectile moving with speed v at the top of its trajectory. 20-newton force due north and a 40-newton force due east act concurrently on a 10-kilogram object, located at point P. Which vector best represents the acceleration of the projectile in the position shown?.. Using a ruler, determine the scale used in the vector diagram by finding the number of newtons represented by each centimeter On the vector diagram, use a ruler and protractor to construct the vector that represents the resultant force. 25. What is the magnitude of the resultant force? 26. What is the measure of the angle (in degrees) between east and the resultant force? 27. Forces F 1 and F 2 act concurrently on point P, as shown in the diagram. The equilibrant of F 1 and F 2 is 29. point charge of coulomb is placed meter from a second point charge of coulomb. The magnitude of the electrostatic force between the charges is. 2.7 N N N N. 14 N southwest. 14 N southeast. 20 N southwest. 20 N southeast page 4

5 30. The accompanying vector represents the resultant of two forces acting concurrently on an object at point P. 31. 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 accompanying diagram. Which pair of vectors best represents two concurrent forces that combine to produce this resultant force vector?. Which vector best represents the resultant of these two forces? The accompanying diagram represents a block sliding down an incline. Which vector best represents the frictional force acting on the block?.... page 5

6 33. force vector was resolved into two perpendicular components, F 1 and F 2, as shown in the accompanying diagram. 34. ase your answer(s) to the following question(s) on the information and diagram below newton box sits on a 10.-meter-long frictionless plane inclined at an angle of 30. to the horizontal as shown. Force (F) applied to a rope attached to the box causes the box to move with a constant speed up the incline. Which vector best represents the original force?.... On the diagram below, construct a vector to represent the weight of the box. Use a metric ruler and a scale of 1.0 centimeter = 40. newtons. egin the vector at point and label its magnitude in newtons. 35. In the accompanying diagram, a box is at rest on an inclined plane. Which vector best represents the direction of the normal force acting on the box?.... page 6

7 36. Which vector diagram represents the greatest magnitude of displacement for an object? 38. The diagram below shows a resultant vector, R... Which diagram best represents a pair of component vectors, and, that would combine to form resultant vector R? Forces and have a resultant R. Force and resultant R are represented in the diagram.. Which vector best represents force?.... page 7

8 39. The diagram below shows a sled and rider sliding down a snow-covered hill that makes an angle of 30. with the horizontal. 40. The vector diagram below represents two forces, F 1 and F 2, simultaneously acting on an object. Which vector best represents the resultant of the two forces?. Which vector best represents the direction of the normal force, F N, exerted by the hill on the sled? page 8

9 41. ase your answer(s) to the following question(s) on the information and diagram below. 10.-kilogram box, sliding to the right across a rough horizontal floor, accelerates at -2.0 meters per second2 due to the force of friction. 42. Which vector diagram best represents a cart slowing down as it travels to the right on a horizontal surface?. On the diagram above, draw a vector representing the net force acting on the box. egin the vector at point P and use a scale of 1.0 centimeter = 5.0 newtons.... page 9

10 43. The diagram below represents a force vector,, and a resultant vector, R. 46. Which is a vector quantity?. electric charge. electric field strength. electric potential difference Which force vector below could be added to force vector to produce resultant vector R?. electric resistance ase your answer(s) to the following question(s) on the information and vector diagram below. dog walks 8.0 meters due north and then 6.0 meters due east. 44. volleyball hit into the air has an initial speed of 10. meters per second. Which vector best represents the angle above the horizontal that the ball should be hit to remain in the air for the greatest amount of time?.. Using a metric ruler and the vector diagram, determine the scale used in the diagram Scalar is to vector as. speed is to velocity. displacement is to distance. displacement is to velocity. speed is to distance 45. Explain the difference between a scalar and a vector quantity. page 10

11 49. blinking light of constant period is situated on a lab cart. Which diagram best represents a photograph of the light as the cart moves with constant velocity? What is the average velocity of a car that travels 30. kilometers due west in 0.50 hour?. 15 km/hr. 60. km/hr. 15 km/hr west. 60. km/hr west car travels 20 meters east in 1.0 second. The displacement of the car at the end of this 1.0-second interval is. 20 m. 20 m/s. 20 m east. 20 m/s east 51. car is driven from uffalo to lbany and on to New York ity, as shown in the diagram. ompared to the magnitude of the car s total displacement, the distance driven is 54. ase your answer(s) to the following question(s) on the information and diagram below. student standing on a knoll throws a snowball horizontally 4.5 meters above the level ground toward a smokestack 15 meters away. The snowball hits the smokestack 0.65 second after being released. [Neglect air resistance] t the instant the snowball is released, the horizontal component of its velocity is approximately. shorter. longer. the same. 6.9 m/s. 9.8 m/s. 17 m/s. 23 m/s 52. student walks 40 meters along a hallway that heads due north, then turns and walks 30 meters along another hallway that heads due east. What is the magnitude of the student s resultant displacement?. 10 m. 35 m. 50 m. 70 m page 11

12 55. s shown in the diagram, a painter climbs 7.3 meters up a vertical scaffold from to and then walks 11.0 meters from to along a level platform. The magnitude of the painter s total displacement while moving from to is. 3.7 m m m m 57. ase your answer(s) to the following question(s) on the information and data table below. car is traveling due north at 24.0 meters per second when the driver sees an obstruction on the highway. The data table shows the velocity of the car at 1.0-second intervals as it is brought to rest on the straight, level highway. Time (s) Velocity (m/s) Using the information in the data table, construct a graph on the grid, following the directions below. 56. ase your answer(s) to the following question(s) on the graph, which represents the relationship between the displacement of an object and its time of travel along a straight line. Plot the data points for velocity versus time. What is the magnitude of the object s total displacement after 8.0 seconds?. 0 m. 2 m. 8 m. 16 m page 12

13 cart moving across a level surface accelerates uniformly at 1.0 meter per second 2 for 2.0 seconds. What additional information is required to determine the distance traveled by the cart during this 2.0-second interval?. coefficient of friction between the cart and the surface. mass of the cart. net force acting on the cart. initial velocity of the cart The accompanying map shows the route traveled by a school bus. What is the magnitude of the total displacement of the school bus from the start to the end of its trip?. 400 m. 500 m. 800 m. 1,800 m 59. Which pair of graphs represent the same motion? The accompanying table lists the coefficients of kinetic friction for four materials sliding over steel. Material oefficient of Kinetic Friction aluminum 0.47 brass 0.44 copper 0.36 steel kilogram block of each of these materials is pulled horizontally across a steel floor at constant velocity. Which block requires the smallest applied force to keep it moving at constant velocity?.. aluminum. brass. copper. steel. page 13

14 62. ase your answer(s) to the following question(s) on the information and diagram below. ball is thrown horizontally with an initial velocity of 20.0 meters per second from the top of a tower 60.0 meters high. 63. ase your answer(s) to the following question(s) on the information and diagram below golf ball leaves a golf club with an initial velocity of 40.0 meters per second at an angle of 40. with the horizontal. What is the vertical component of the golf ball s initial velocity? What is the initial vertical velocity of the ball? m/s m/s m/s m/s. 0 m/s m/s m/s m/s 64. ase your answer(s) to the following question(s) on the information and diagram below. child kicks a ball with an initial velocity of 8.5 meters per second at an angle of 35 with the horizontal, as shown. The ball has an initial vertical velocity of 4.9 meters per second and a total time of flight of 1.0 second. [Neglect air resistance.] The horizontal component of the ball s initial velocity is approximately. 3.6 m/s. 4.9 m/s. 7.0 m/s. 13 m/s page 14

15 65. The maximum height reached by the ball is approximately. 1.2 m. 2.5 m. 4.9 m. 8.5 m 69. lab cart is loaded with different masses and moved at various velocities. Which diagram shows the cartmass system with the greatest inertia?. 66. ase your answer(s) to the following question(s) on the information below. n 8.00-kilogram ball is fired horizontally from a kilogram cannon initially at rest. fter having been fired, the momentum of the ball is kilogram meters per second east. [Neglect friction.]. Identify the direction of the cannon s velocity after the ball is fired uring a 5.0-second interval, an object s velocity changes from 25 meters per second east to 15 meters per second east. etermine the magnitude and direction of the object s acceleration. Examples of 2-redit Responses 2.0 m/s 2 west 2.0 m/s 2 east. 68. projectile has an initial horizontal velocity of 15 meters per second and an initial vertical velocity of 25 meters per second. etermine the projectile s horizontal displacement if the total time of flight is 5.0 seconds. [Neglect friction] page 15

16 70. Which pair of graphs represents the same motion of an object?. 71. ase your answer(s) to the following question(s) on the information and diagram below. n object was projected horizontally from a tall cliff. The diagram below represents the path of the object, neglecting friction... How does the magnitude of the horizontal component of the object s velocity at point compare with the magnitude of the horizontal component of the object s velocity at point?. 72. How does the magnitude of the vertical component of the object s velocity at point compare with the magnitude of the vertical component of the object s velocity at point? 73. student on her way to school walks four blocks east, three blocks north, and another four blocks east, as shown in the diagram. ompared to the distance she walks, the magnitude of her displacement from home to school is. less. greater. the same page 16

17 74. In the diagram below, a block of mass M initially at rest on a frictionless horizontal surface is struck by a bullet of mass m moving with horizontal velocity v. 77. woman with horizontal velocity v 1 jumps off a dock into a stationary boat. fter landing in the boat, the woman and the boat move with velocity v 2. ompared to velocity v 1, velocity v 2 has. the same magnitude and the same direction. the same magnitude and opposite direction What is the velocity of the bullet-block system after the bullet embeds itself in the block?. smaller magnitude and the same direction. larger magnitude and the same direction.. ( M + v M ) m. ( m + v ) m. M ( m + M m ) v ( m ) v m + M 78. Which graph best represents the relationship between the velocity of an object thrown straight upward from Earth s surface and the time that elapses while it is in the air? [Neglect friction.]. 75. golf ball is propelled with an initial velocity of 60. meters per second at 37 above the horizontal. The horizontal component of the golf ball s initial velocity is. 30. m/s. 36 m/s. 40. m/s. 48 m/s. 76. ase your answer(s) to the following question(s) on the information and diagram below kilogram block is pushed across a floor by a horizontal force of 50. newtons. The block moves from point to point in 3.0 seconds. Using a scale of 1.0 centimeter = 1.0 meter, determine the magnitude of the displacement of the block as it moves from point to point.. page 17

18 79. block weighing 10.0 newtons is on a ramp inclined at 30.0 to the horizontal. 3.0-newton force of friction, F f, acts on the block as it is pulled up the ramp at constant velocity with force F, which is parallel to the ramp, as shown in the diagram below. 81. Which graph best represents the motion of an object in equilibrium?.. What is the magnitude of force F?. 7.0 N. 8.0 N. 10. N. 13 N The graph below represents the velocity of an object traveling in a straight line as a function of time. 82. person walks 150. meters due east and then walks 30. meters due west. The entire trip takes the person 10. minutes. etermine the magnitude and the direction of the person s total displacement. etermine the magnitude of the total displacement of the object at the end of the first 6.0 seconds. 83. cart travels 4.00 meters east and then 4.00 meters north. etermine the magnitude of the cart s resultant displacement. [1] page 18

19 84. ase your answer(s) to the following question(s) on the information below. The path of a stunt car driven horizontally off a cliff is represented in the diagram below. fter leaving the cliff, the car falls freely to point in 0.50 second and to point in 1.00 second. 87. ase your answer(s) to the following question(s) on the information and diagram below. model airplane heads due east at 1.50 meters per second, while the wind blows due north at 0.70 meter per second. The scaled diagram below represents these vector quantities. Using a ruler, determine the scale used in the vector diagram. 88. On the diagram provided below, use a protractor and a ruler to construct a vector to represent the resultant velocity of the airplane. Label the vector R. etermine the magnitude of the horizontal component of the velocity of the car at point. [Neglect friction.] 85. etermine the magnitude of the vertical velocity of the car at point. 89. etermine the magnitude of the resultant velocity. 90. ase your answer(s) to the following question(s) 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. 86. alculate the magnitude of the vertical displacement, dy, of the car from point to point. [Neglect friction.] [Show all work, including the equation and substitution with units.] The magnitude of the player s total displacement after running the drill is. 0.0 m. 30. m. 60. m. 180 m page 19

20 cces format version c Educide Software Licensed for use by Problem-ttic Review sheet # 2 01/23/ N (or equivalent) N (or equivalent) 27 +/- 2 (or equivalent)

21 Teacher s Key Page length of 4.0 cm (±0.2 cm) scalar quantity has magnitude only. vector quantity has both magnitude and direction. - vector quantity has direction. - scalar quantity has no direction. 1.0 cm = 2.0 m ±0.2 m west opposite backward Examples of 1-redt Responses 2.0 m/s 2 east 2.0 m/s 2 west 75 m

22 Teacher s Key Page They are the same Velocity (or vertical velocity) at is less than at. 8.0 m ±0.2 m 50. m 120. m east m m/s 4.9 m/s d y = 3.7 m m/s cm=0.20 m/s ±0.04 m/s