Topic 8 Scalars and Vectors - Tenbury House话题8标量和矢量-滕伯里房子

Topic 8 Scalars and Vectors - Tenbury House话题8标量和矢量-滕伯里房子 9. The diagram shows a 9 N force and a 12N force acting at Unit 11: Scalars and Vectors right angles. 1. Which of the following is a vector quantity? A energy C temperature E velocity B mass D time Which of the following diagrams shows the resultant force? 2. Which of the following lists of physical quantities consists only of vectors? A acceleration, force, volume B mass, velocity, acceleration C time, mass, velocity 33 D velocity, acceleration, force 10. A container holds 5m of a liquid whose density is 800kg/m 0 E volume, force, temperature at 20C. The weight of the container and the liquid is 45000N. It takes 300s to empty the container. Which of the following can be represented by a vector? 3303. Which of the following lists only vector quantities? A 5 m B 800 kg/m C 20 C D 45 000 N E 300 s A energy, mass and force B energy, mass and power C velocity, force and acceleration 11. Which diagram represents the direction of the vectors X and D velocity, power and acceleration Y and their resultant Z? 4. Which row correctly describes force, mass and acceleration as a vector or scalar quantities? force mass acceleration A scalar scalar scalar B scalar vector scalar C vector scalar vector D vector vector vector 5. Which of the following is a scalar quantity? A the braking force needed to stop a car 12. A man travels 5.0km due North from his starting point and B the effort needed to hammer a nail into wood then travels a further 8.0km in a straight line in the direction 0 C the heat needed to boil some water 30 East of North. By means of a scale diagram, determine D the thrust needed to lift a rocket off the ground how far in a straight line he is from his starting point. State the scale of your diagram. 6. Which of the following are correctly identified as a scalar and a vector? 13. Scalar Vector A force speed B mass temperature C time acceleration D weight velocity 7. A vector contains more information than a scalar. Two forces of magnitude 5.0N and 7.0N act on a small body, What is the extra information? B. The angle between the directions along which the forces A acceleration B direction C resultant D size 0act is 40. Determine the magnitude of the resultant force on the body, B, by completing the diagram using a suitable scale. State clearly the scale you have used. 8. Which diagram correctly shows the addition of 4 N and 3 N vectors? 14. A barge is pulled at a steady speed through still water by two horizontal cables as shown in the plan view below. By means of a scale diagram determine the magnitude and direction of the resultant force exerted on the barge by the cables. State the scale you have used. 1 15. A large vessel is towed by two tugs, which exert forces of 20. A river that is 40 m wide flows at 0.4 m/s in the direction 3500 N and 2500 N. The angle between the ropes from the shown. A man sets out from A in a rowing boat heading in 0tugs is 60. By drawing a scale diagram, determine: the direction AB. His speed through the water is 0.80 m/s. a) the resultant force exerted by the ropes on the vessel, b) the angle between the direction of this resultant force and the direction in which the pull of 3500N is exerted. State the scale used for your diagram. 16. Two men attempt to move a small tree stump: they tie ropes to the stump and pull horizontally, one man exerting a force Determine: of 700N and the other a force of 850N, in the directions a) the time taken to reach the far bank, shown in the diagram below. b) the distance from B at which he reaches the bank 21. The engine of a boat drives it through the water with a velocity 2.6 m/s in the direction XY shown in the diagram. The water flows with a velocity 1.2 m/s in the direction CD, which is perpendicular to XY. Use a scale diagram to determine the angle to XY at which the boat travels. By drawing a scale diagram find the resultant force on the Y tree stump: a) magnitude of resultant force: b) angle between the direction of the resultant and the direction of the 850 N force. 17. An aerial is held by wires; the tensions in two of the wires C D and the directions in which they act are as shown in the diagram. X a) scale used b) angle to XY 22. By means of a scale diagram, determine the resultant force exerted on the aerial by the two wires. a) scale used b) magnitude of resultant c) angle between direction of resultant and direction of T. 1 18. In the diagram, XY represents a flat kite of weight 4.0N. At a 0certain instant, XY is inclined at 30 to the horizontal and the wind exerts a steady force of 6.0N at right angles to XY so that the kite flies freely. A motorboat travels due north at a steady speed of 3.0 m/s through calm water in which there is no current. The boat then enters an area of water in which a steady current flows at 2.0 m/s in a southwest direction, as shown in the next picture. Both the engine power and the course setting remain unchanged. a) explain how the above paragraph gives information not only about the speed of the boat but also about its Draw a scale diagram to find the magnitude of the resultant velocity. force acting on the kite and the angle to the horizontal at b) draw a vector diagram showing the velocity of the boat which the force acts. and the velocity of the current. Use the diagram to find i) the magnitude of the resultant velocity 19. A small aircraft may be considered to be acted on by three ii) the angle between due north and the direction of forces. The effective forward force is 6000N and acts travel of the boat. horizontally. The weight of the aircraft is 5000N and the c) calculate the distance the boat now travels in 5 mins; lifting force (acting vertically upwards) produced by the 3d) mass of boat is 3.0 x 10kg (3000kg). Calculate the wings is 7000N. Determine the magnitude and direction of additional force that needs to be applied to give the boat the resultant force acting on the aircraft. -222an initial acceleration of 2.5 x 10m/s (0.025 m/s). a) magnitude b) direction 2