In this unit you will learn how physicists keep track of energy. You will start with the forms of energy and the law of conservation of energy, then define work precisely (W = FΔd) and learn when a force does positive, negative or zero work. From work you will derive kinetic energy (Ek = ½mv²) and the work–energy theorem, and you will store energy as gravitational potential energy (Eg = mgh). You will use conservation of energy to predict speeds and heights for falling objects, pendulums, roller coasters and toboggans, first without friction and then with the thermal energy friction produces, and you will test conservation in your own ramp or pendulum investigation. Next come power (P = ΔE ÷ Δt), including an investigation that measures your own power on the stairs, and efficiency, with Sankey diagrams and the link between efficiency and thermal energy. You will compare the input energy, useful output and efficiency of hydroelectric, natural gas, nuclear, wind and solar generation and analyse how thermal stations can be made more efficient. The unit ends with E = mc², which joins conservation of mass and conservation of energy into one law.
Remember from earlier grades: in Grade 8 you calculated work and the efficiency of machines; in Grade 9 you calculated electrical power, energy in kilowatt-hours and efficiency, drew Sankey diagrams and compared Ontario's sources of electrical energy. This unit also uses Newton's laws and free-body diagrams from the Forces unit and the equations of motion from the Kinematics unit. Heat calculations (Q = mcΔT, latent heat), heating curves, fission, fusion and radioactivity are in the companion unit, Thermal and Nuclear Energy. You will need a scientific calculator; we use g = 9.8 N/kg. Every lesson has worked examples, a hands-on activity, lots of practice and a short quiz. These ideas continue in SPH4U (Grade 12 Physics), where work, energy and momentum are extended to two dimensions.
Curriculum: The Ontario Curriculum, Grades 11 and 12: Science (2008, revised), Physics, Grade 11, University Preparation (SPH3U), strand D. Energy and Society: D2.1 to D2.8, D3.1 to D3.5, and D1.1 and D1.2 as they apply to generating stations. The scientific investigation skills of strand A (A1.1, A1.4, A1.5, A1.6, A1.8, A1.10, A1.12, A1.13) and career exploration (A2.1, A2.2) are woven through the lessons. Expectations D2.9 to D2.11 and D3.6 to D3.12 are taught in Thermal and Nuclear Energy.