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1. Which pair of concurrent forces may have a resultant of 20. Newtons? (1) 5.0 N and 10. N (3) 20. N and 50. N (2) 20. N and 20. N (4) 30. N and 5.0 N 2. As the angle between two concurrent forces is increased from 10º to 75º, the magnitude of the resultant force (1) decreases (3) remains the same (2) increases 3. An object is displaced 3 meters to the west and then 4 meters to the south. Which vector shown below best represents the resultant displacement of the block? (1) (3) 6. Forces A and B have a resultant R. Force A and resultant R are shown in the diagram below. Which vector below best represents force B? (1) (3) (2) (4) 7. A girl attempts to swim directly across a stream 15 meters wide. When she reaches the other side, she is 15 meters downstream. The magnitude of her displacement is closest to (1) 30 m (3) 17 m (2) 21 m (4) 15 m 8. Which vector below best represents the resultant of the two vectors shown to the right? (2) (4) 4. Two concurrent forces of 40 Newtons and X Newtons have a resultant of 100 Newtons. Force X could be (1) 20 Newtons (3) 80 Newtons (2) 40 Newtons (4) 150 Newtons 5. Two forces of 100 Newtons and 25 Newtons act concurrently on an object. These two forces could have a resultant force of (1) 0 N (3) 100 N (2) 50 N (4) 150 N (1) (3) (2) (4) 9. An object is displaced 12 meters to the right and then 16 meters upward. The magnitude of the resultant displacement is (1) 1.3 meters (3) 28 meters (2) 20 meters (4) 4.0 meters 10. The resultant of two concurrent forces is minimum when the angle between them is (1) 0º (3) 90º (2) 45º (4) 180º 11. As the angle between two concurrent forces of 5.0 Newtons and 7.0 Newtons increases from 0º to 180º, the magnitude of their resultant changes from (1) 0 N to 35 N (3) 12 N to 2.0 N (2) 2.0 N to 12 N (4) 12 N to 0 N 12. Two concurrent forces act at right angles to each other. If one of the forces is 40 Newtons and the resultant of the two forces is 50 Newtons, the magnitude of the other force must be (1) 10 N (3) 30 N (2) 20 N (4) 40 N 13. The resultant of two forces acting on the same point at the same time will be greatest when the angle between the forces is (1) 0º (3) 90º (2) 45º (4) 180º 14. If a woman runs 100 meters north and then 70 meters south, her total displacement will be (1) 30 m north (3) 170 m north (2) 30 m south (4) 170 m south 15. Two forces (OA and OB) act simultaneously at point O as shown on the diagram to the right. The magnitude of the resultant force is closest to (1) 8.0 N (3) 15 N (2) 11 N (4) 16 N 16. Which vector best represents the resultant of forces F1 and F2 acting concurrently on point P as shown in the diagram to the right? (1) (3) (2) (4) 17. Two perpendicular forces act on an object as shown in the diagram to the right. What is the magnitude of the resultant force on the object? (1) 17 N (3) 7.0 N (2) 13 N (4) 5.0 N 18. A boat heads directly eastward across a river at 12 meters per second. If the current in the river is flowing at 5.0 meters per second due south, what is the magnitude of the boat's resultant velocity? (1) 7.0 m/s (3) 13 m/s (2) 8.5 m/s (4) 17 m/s 19. Which pair of concurrent forces could produce a resultant force having a magnitude of 10. Newtons? (1) 10. N. 10. N (3) 4.7 N. 4.7 N (2) 10. N. 30. N (4) 4.7 N. 5.0 N 20. Which is a scalar quantity? (1) speed (3) force (2) displacement (4) momentum 21. A 3.0-newton force and a 4.0-newton force act concurrently on a point. In which diagram below would the orientation of these forces produce the greatest net force on the point? (1) 23. A 150.-newton force, F1, and a 200.-newton force, F2, are applied simultaneously to the same point on a large crate resting on a frictionless, horizontal surface. Which diagram shows the forces positioned to give the crate the greatest acceleration? (3) (1) (2) (4) 22. A river flows due east at 1.5 meters per second. A motorboat leaves the north shore of the river and heads due south at 2.0 meters per second, as shown in the diagram below. Which vector best represents the resultant velocity of the boat relative to the riverbank? (2) (3) (4) 24. A ball is fired with a velocity of 12 meters per second from a cannon pointing north, while the cannon is moving eastward at a velocity of 24 meters per second. Which vector best represents the resultant velocity of the ball as it leaves the cannon? (1) (3) (2) (4) (1) (3) (2) (4) 25. A person walks 5.0 kilometers north, then 5.0 kilometers east. His displacement is closest to (1) 7.1 kilometers northeast (2) 7.1 kilometers northwest (3) 10 kilometers northeast (4) 10 kilometers northwest 26. Forces F1 and F2 act concurrently on point P, as shown in the diagram below. 30. A 6-newton force and an 8-newton force act concurrently on a box located on a frictionless horizontal surface. Which top-view diagram shows the forces producing the smallest magnitude of acceleration of the box? (1) (2) The equilibrant of F1 and F2 is (1) 14 N southwest (3) 20. N southwest (2) 14 N southeast (4) 20. N southeast 27. Which combination of three concurrent forces acting on a body could not produce equilibrium? (1) 1 N, 3 N, 5 N (3) 3 N, 4 N, 5 N (2) 2 N, 2 N, 2 N (4) 4 N, 4 N, 5 N 28. 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. (3) (4) 31. A constant force is exerted on a box as shown in the diagram. The additional force necessary to bring the object into a state of equilibrium is (1) 20. N, northeast (3) 28 N, northeast (2) 20. N, southwest (4) 28 N, southwest 29. Into how many possible components can a single force be resolved? (1) an unlimited number (2) two components (3) three components (4) four components at right angles to each other As the angle θ decreases to 0° , the magnitude of the horizontal component of the force (1) decreases (3) remains the same (2) increases 32. Which is a vector quantity? (1) displacement (3) speed (2) mass (4) energy 33. 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? 36. A force vector was resolved into two perpendicular components, F1 and F2, as shown in the diagram below. Which vector best represents the original force? (1) (3) (1) (2) (4) (2) (3) 34. The diagram below represents a constant force F acting on a box located on a frictionless horizontal surface. (4) As the angle between the force and the horizontal increases, the acceleration of the box will (1) decrease (3) remain the same (2) increase 35. Which is a vector quantity? (1) distance (3) speed (2) time (4) acceleration 37. Which term represents a vector quantity? (1) work (3) force (2) power (4) distance 38. Which vector diagram best represents a cart slowing down as it travels to the right on a horizontal surface? (1) 40. Which diagram represents a box in equilibrium? (1) (2) (2) (3) (4) (3) 41. Which diagram represents the vector with the largest downward component? [Assume each vector has the same magnitude.] (4) (1) (2) 39. Which terms represent a vector quantity and its respective unit? (1) weight – kilogram (2) mass – kilogram (3) force – newton (4) momentum – newton (3) (4) 42. A block is at rest on an inclined plane as shown in the diagram at the right. As angle θ is increased, the component of the block's weight parallel to the plane (1) decreases (2) increases 45. The diagram at the right represents a force acting at point P. Which pair of concurrent forces would produce equilibrium when added to the force acting at point P? (1) (3) (2) (4) (3) remains the same 43. The diagram below represents a car resting on a hill. 46. The handle of a lawn roller is held at 45º from the horizontal. A force, F, of 28.0 Newtons is applied to the handle as the roller is pushed across a level lawn, as shown in the diagram below. Which vector best represents the weight of the car? (1) A (3) C (2) B (4) D 44. In the diagram below, the weight of a box on a plane inclined at 30.º is represented by the vector W. What is the magnitude of the component of the weight (W) that acts parallel to the incline? (1) W (3) 0.87 W (2) 0.50 W (4) 1.5 W What is the magnitude of the force moving the roller forward? (1) 7.00 N (3) 19.8 N (2) 14.0 N (4) 39.0 N 47. A ship changes direction several times and finishes 20 miles north of its starting point. This displacement is a vector quantity because it has (1) both magnitude and direction (2) magnitude but no direction (3) direction but no magnitude (4) neither magnitude nor direction 48. A 100.-newton force acts on point P, as shown in the diagram below. The magnitude of the vertical component of this force is approximately (1) 30. N (3) 71 N (2) 50. N (4) 87 N 49. In the diagram below, a block rests on a ramp, making angle Θ with the horizontal. 51. The diagram below shows a block on a horizontal frictionless surface. A 100.- newton force acts on the block at an angle of 30.° above the horizontal. What is the magnitude of force F if it establishes equilibrium? (1) 50.0 N (3) 100. N (2) 86.6 N (4) 187 N 52. The diagram below shows a 10.0-kilogram mass held at rest on a frictionless 30.0° incline by force F. If angle Θ is increased, what will occur? (1) The block's mass will decrease. (2) The block's weight will increase. (3) The block's component of weight parallel to the ramp will decrease. (4) The block's component of weight parallel to the ramp will increase. 50. In the diagram below, a box is at rest on an inclined plane. Which vector best represents the direction of the normal force acting on the box? (1) A (3) C (2) B (4) D What is the approximate magnitude of force F? (1) 9.81 N (3) 85.0 N (2) 49.1 N (4) 98.1 N 53. The speedometer in a car does not measure the car’s velocity because velocity is a (1) vector quantity and has a direction associated with it (2) vector quantity and does not have a direction associated with it (3) scalar quantity and has a direction associated with it (4) scalar quantity and does not have a direction associated with it 54. The diagram below shows a sled and rider sliding down a snow-covered hill that makes an angle of 30.° with the horizontal. Which vector best represents the direction of the normal force, FN, exerted by the hill on the sled? (1) (2) (3) 55. The diagram below represents a force vector, A and resultant vector, R. Which force vector B below could be added to force vector A to produce resultant vector, R. (1) (3) (2) (4) (4) Answer Key [New Exam] 1. 2 25. 1 49. 4 2. 1 26. 1 50. 3 3. 3 27. 1 51. 2 4. 3 28. 4 52. 2 5. 3 29. 1 53. 1 6. 3 30. 4 54. 3 7. 2 31. 2 55. 1 8. 1 32. 1 9. 2 33. 4 10. 4 34. 1 11. 3 35. 4 12. 3 36. 4 13. 1 37. 3 14. 1 38. 2 15. 2 39. 3 16. 3 40. 3 17. 2 41. 1 18. 3 42. 2 19. 1 43. 2 20. 1 44. 2 21. 1 45. 4 22. 4 46. 3 23. 1 47. 1 24. 3 48. 2