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Calculating Work Done When Force Moves an Object
7.1 Work Done by a Constant Force · Didactic approach
This unit is the chapter's entry point into the scientific meaning of work, so it is worth spending a moment letting students surface their everyday sense of 'effort' before introducing the formal definition — the contrast will pay off in the next section on zero work. Watch for students who confuse force alone with work; the wheat-bag comparison is specifically designed to show that displacement is equally essential. A useful checkpoint: students should be able to state why pushing a stationary wall involves no work before you move on.
0-8Open with the wheat-bag scenario from the chapter: ask students to compare lifting one bag 2 m versus two bags 1 m and predict which takes more effort, then poll for reasoning. Record responses on the board without evaluating.
8-25Develop the formal definition W = F × s, tracing how both force and displacement independently scale the work done, using the wheat-bag numbers as a running example. Introduce the joule as the SI unit and work through a brief numerical: a 10 N force over 3 m.
25-38Draw and interpret the force-displacement graph: show a constant-force rectangle and establish that area = work. Pose a varying-force graph (stepped or trapezoidal) and ask pairs to estimate the total work by counting approximate areas, then compare answers.
38-50Students individually write the formal definition in their own words, sketch a force-displacement graph for a 5 N force over 4 m, label the axes, shade the area, and calculate the work. Pairs exchange and check each other's shading and calculation.
Competency (C-2.5). Defines work in scientific terms and represents the relationship between potential and kinetic energy in mathematical expressions.
Learning outcome. Students can calculate the work done by a constant force using the product of force and displacement and represent this on a force-displacement graph.
A force-displacement graph for an object shows a horizontal line at 8 N from a displacement of 0 m to 3 m, and then drops to 0 N. What is the total work done on the object?
- A 3 J
- B 8 J
- C 11 J
- D 24 J
D. 24 J
What each wrong option reveals
- A Reads only the displacement value (3 m) without multiplying by force — confuses displacement with work.
- B Reads only the force value (8 N) without multiplying by displacement — confuses force with work.
- C Adds force and displacement (8 + 3 = 11) instead of multiplying — treats work as a sum rather than a product.
Also saved as 13 periods or 18 periods.
- 2Identifying Conditions Where Scientific Work Equals Zero
7.1.1 When is work done equal to zero? - 3Determining the Sign of Work Done in Opposing-Force Situations
7.1.2 Positive and negative work done - 4Applying the Work-Energy Theorem to Track Energy Transfers
7.2 The Work-Energy Theorem - 5Classifying and Converting Between Forms of Energy
7.3 Forms of Energy - 6Deriving Kinetic Energy from Newton's Second Law and Kinematics
7.4.1 Kinetic energy - 7Exploring How Positive and Negative Work Changes Kinetic Energy
7.4.1 Kinetic energy - 8Investigating Stored Energy in Deformed Objects and Position
7.4.2 Potential energy - 9Deriving Gravitational Potential Energy Using the Work-Energy Theorem
7.4.2 Potential energy - 10Proving Conservation of Mechanical Energy with a Pendulum
7.4.3 Conservation of mechanical energy - 11Solving Conservation-of-Mechanical-Energy Problems in Novel Contexts
7.4.3 Conservation of mechanical energy - 12Defining Power and Calculating the Rate of Doing Work
7.5 Power - 13Introducing Simple Machines: Effort, Load, and Mechanical Advantage
7.6 Simple Machines - 14Analysing Fixed and Movable Pulleys and Their Mechanical Advantages
7.6.1 Pulley - 15Measuring How Incline Angle Affects the Effort Needed to Raise a Load
7.6.2 Inclined plane - 16Discovering the Lever Principle Through a Ruler-and-Pencil Investigation
7.6.3 Lever - 17Building a Beam Balance and Classifying Lever Types by Fulcrum Position
7.6.3 Lever - 18Tracing Energy Transformation in the Gharat and Hydroelectric Systems
7.6.3 Lever - 19Connecting Mechanical Advantage Across All Three Simple Machines
7.6.3 Lever - 20Applying W = F × s and KE = ½mv² to Multi-Step Problem Sets
7.4.1 Kinetic energy (Revisit) - 21Reasoning About Energy Conservation and Mechanical Advantage in New Scenarios
7.4.3 Conservation of mechanical energy (Revisit) - 22Whole-Chapter Synthesis: Connecting Work, Energy, and Simple Machines
Synthesis
- 1. Exploration: Entering the World of Secondary Science
- 2. Cell: The Building Block of Life
- 3. Tissues in Action
- 4. Describing Motion Around Us
- 5. Exploring Mixtures and their Separation
- 6. How Forces Affect Motion
- 7. Work, Energy, and Simple Machines
- 8. Journey Inside the Atom
- 9. Atomic Foundations of Matter
- 10. Sound Waves: Characteristics and Applications
- 11. Reproduction: How Life Continues
- 12. Patterns in Life: Diversity and Classification
- 13. Earth as a System: Energy, Matter, and Life
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