# ANSWER KEY. Work and Machines

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1 Chapter Project Worksheet 1 1. inclined plane, wedge, screw, lever, wheel and axle, pulley 2. pulley 3. lever 4. inclined plane 5. Answers will vary: top, side, or bottom 6. Answers will vary; only one of the six simple machines must be mentioned. 7. Answers will vary; only one of the six simple machines must be mentioned Students designs will vary. What Is Work? Guided Reading and Study Use Target Reading Skills Sample questions and answers: Q. What is work? A. Work is done when a causes an object to move in the direction of the. Q. How is work calculated? A. Work is times distance. Q. What is power? A. Power is the rate at work is done. 1. You do work when you exert a on an object that causes the object to move a distance in the same direction as the exerted. 2. pull out books: work lift newspapers: work push on stuck car: no work hold wood in place: no work pull sled: work hold bag: no work 3. distance 4. In carrying an object, you exert an upward. But to do work, you must exert a in the same direction as the object s motion. Since the object s motion is horizontal and the extended is vertical, no work is done. 5. When you pull a suitcase with wheels, you pull at an angle to the ground. Your has a horizontal part and a vertical part. Only the horizontal part does work because that is in the same direction as the motion of the suitcase. 6., distance 7. true 8. Work = Force Distance 9. joule, or N m joule 11. Power is the rate at work is done or the amount of work done in a unit of time. 12. true 13. Power = Work Time 14. Power = (Force Distance) Time What Is Work? Review and Rein 1. She is doing work if the causes the box to move some distance in the direction of the. 2. Use this formula: Work = Force Distance J 4. Exerting a on an object that causes the object to move some distance in the direction of the. 5. Amount of work done when you exert a of 1 newton to move an object a distance of 1 meter. 6. The rate at work is done. What Is Work? Enrich Total Work (in joules) As the angle increases, the fraction of the that contributes to work decreases. 2. None of the applied to the object contributed to its movement because the directions of the and movement were at right angles to one another. 3. No

2 How Machines Do Work Guided Reading and Study Use Target Reading Skills Sample main idea: The mechanical advantage of a machine helps by: Sample details: changing changing distance changing direction 1. A machine is a device with you can do work in a way that is easier or more effective. 2. false 3. a, c, d 4. input 5. output 6. true 7. distance 8. true The number of times a exerted on a machine is multiplied by the machine. 11. Mechanical advantage = 12. output, input 13. friction 14. efficiency 15. Efficiency = ( work work) 100% 16. actual 17. ideal How Machines Do Work Review and Rein 1. true 2. increasing 3. true 4. without 5. mechanical advantage 6. input 7. machine 8. ideal mechanical advantage 9. actual mechanical advantage 10. efficiency 11. output How Machines Do Work Enrich 1. The person is pulled downward by the of gravity. 2. Force = 75 kg 9.8 m/s 2 = 735 N Work = 735 N 0.5 m = J 3. Force = 750 kg 9.8m/s 2 = 7,350 N Work = 7,350 N 0.05m = J It is the same amount of work. 4. : 735 N : 7,350 N Mechanical advantage: 7,350 N 735 N = Efficiency: (367.5 J J) 100% = 100%. This is complete efficiency and is very unlikely. Friction would cause a real treadmill to be less efficient. Seesaw Science Skills Lab For answers, see the Teacher s Edition.

3 Simple Machines Guided Reading and Study Use Target Reading Skills Sample questions and answers: Q. What are the three classes of levers? A. First, second, and third Q. Which type of lever always changes the direction of the input? A. First-class levers 1. inclined plane, lever, wedge, wheel and axle, screw, pulley 2. An inclined plane is a flat, slanted surface. 3. Ideal mechanical advantage = length of incline height of incline 4. a, b, d 5. input 6. A wedge is a device that is thick at one end and tapers to a thin edge at the other end. 7. true 8. true 9. A screw is an inclined plane wrapped around a cylinder. 10. threads 11. The input is applied to the top of the screw. As the screw turns, the threads exert an output on the wood. 12. A lever is a rigid bar that is free to pivot, or rotate, around a fixed point. 13. fulcrum 14. a, b, c Second-class lever First-class lever Third-class lever 17. Ideal mechanical advantage = distance from fulcrum to input distance from fulcrum to output 18. A wheel and axle is a simple machine made of two circular objects that are fastened together and that rotate around a common axis. 19. Ideal mechanical advantage = Radius of wheel Radius of axle 20. A pulley is a grooved wheel with a rope (or chain, or even a steel cable) wrapped around it. 21. fixed pulley 22. moveable pulley 23. They consist of bones and muscles. 24. tendons 25. The joint near where the tendon is attached to the bone acts as the fulcrum. 26. First-class levers Second-class levers Third-class levers

4 27. wedges 28. When you bite down on something, the wedge shape of your teeth produces enough to break it in half, just as an ax is used to split a log. 29. A compound machine is a machine that utilizes two or more simple machines. 30. You must know the mechanical advantage of each simple machine utilized in the compound machine. Simple Machines Review and Rein 1. wedge 2. wheel and axle 3. lever 4. inclined plane 5. pulley 6. screw 7. compound machine 8. lever 9. pulley 10. screw 11. inclined plane 12. fulcrum 13. wedge 14. wheel and axle Simple Machines Enrich 1. lever 2. inclined plane 3. pulley 4. wheel and axle 5. first-class lever 6. the magnifying glass (A) and the paper bag (B) Angling for Access Skills Lab For answers, see the Teacher s Edition. Key Terms 1. wedge 2. compound 3. output 4. fulcrum 5. work 6. axle 7. efficiency 8. lever 9. input 10. inclined 11. pulley 12. machine 13. joule 14. screw Math Skills J 2. 15,000 J 3. 25,000 W or 25 kw W % 8. 75%

5 Connecting Concepts This concept map is only one way to represent the main ideas and relationships in this chapter. Accept other logical answers from students. Axis Grooved wheel Move Cylinder pivots around a that rotate around an around a that can wrapped around a Force Distance Direction change is a Rigid bar is a Flat, sloped surface is Two circular objects is Cable is an Inclined plane is an Inclined plane Lever Inclined plane Wheel and axle Pulley Wedge Screw Work made easier by Machines can be six types Simple combine to form Compound machines is Force multiplied by Distance measured using the unit Joule divided by Time equals Power measured using the unit Watt

6 Laboratory Investigation Pulleys as Simple Machines Pre-Lab Discussion 1. The mechanical advantage of a machine is the number of times a machine multiplies a exerted on it. 2. Machines make work easier by changing the direction or amount of needed to accomplish a task. Pulleys and pulley systems do both of these. Analyze and Conclude 1. Yes, The single fixed pulley has an ideal mechanical advantage of 1; the ideal mechanical advantage of the single moveable pulley is 2. Actual mechanical advantage for these pulleys will probably be somewhat different because of friction and measurement of error. 2. Less input was needed with more pulleys. 3. The number and arrangement of the pulleys determine what the mechanical advantage will be. Critical Thinking and Applications 1. The single fixed pulley has an ideal mechanical advantage of 1. Its practical use is to change the direction of effort. 2. a. 1 b. 2 c. 2 d. 3 e Mechanical advantage for a pulley system is the same no matter how it is calculated. However, measurements of actual mechanical advantages will vary because of friction and measurement error. 4. Diagrams should show six supporting sections of rope. 5. The distance through the input moves increases. 6. In a machine, work output can never be greater than work input. Because work input is input times distance, if the input decreases, the distance must increase. More to Explore If the input and the output move the same distance, the pulley system will have a mechanical advantage of 1. If the input moves a greater distance than the output moves, the pulley will have a mechanical advantage greater than 1. Performance Assessment Students tables will vary. See expected outcome on the Teacher Notes page for some examples of possible machines and their benefits. Analyze and Conclude 1. Answers will vary. Sample: I would choose my first-class lever made from a triangular block and a rectangular block. It was simple to make and had only two parts. It was the only machine I made that both multiplied the input and changed the direction of the. 2. Answers will vary. Check students work. For an inclined plane, the ideal mechanical advantage is equal to the length divided by the height. For a lever it is equal to the distance from the fulcrum to the input divided by the distance from the fulcrum to the output. 3. Answers will vary. Sample: I could combine the pulley and the wheels and axle. Instead of pulling down on the pulley s string to lift the weight, the string could be tied to the axle. Then the wheels could be turned to lift the weight.

7 Chapter Test 1. b 2. a 3. a 4. d 5. c 6. d 7. b 8. a 9. c 10. b 11. move some distance 12. mechanical advantage 13. axle 14. tendons 15. ideal mechanical advantage 16. does not decrease 17. screw 18. true 19. direction 20. true 21. Since the table and stool moved, Eric and Jill did work. 22. Jill performs 120 J of work. Eric performs 60 J of work. Jill performs more work. 23. Answers will vary. Sample: You would exert a, but not do work when you hold a heavy bag of groceries. You would exert a and also do work when you lift that heavy bag of groceries out of a shopping cart. 24. The six kinds of simple machines and examples are: screw jar lid; inclined plane wheelchair ramp; pulley flagpole; wedge sharp knife; lever baseball bat; wheel and axle bicycle 25. A machine makes work easier by changing the amount of you exert, the distance over you exert the, or the direction in you exert your. A ramp lets you exert a smaller over a larger distance. The higher gears on a bicycle let you apply a greater over a shorter distance. A pulley lets you change the direction over you exert a. 26. The ramp makes the work easier by multiplying the distance and reducing the required input. 27. I.M.A. = length of incline divided by height of incline = Because a machine makes work easier by changing the direction or the amount of needed 29. The input and output s are the same. Students examples may vary. Sample: a fixed pulley 30. The more friction there is, the less efficient a machine is. You could make a machine more efficient by reducing friction by lubricating the machine.

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