Ms. Terkper's Digital Classroom

Energy Flow in Technological Systems — Ms. Terkper's Digital Classroom
Science 10 Units
Unit A: Chemistry Unit B: Physics Unit C: Biology Unit D: Biosphere
Energy Flow — Unit B
Overview History Forms of Energy Motion Equations Laws & Efficiency Practice
Alberta Science 10 — Unit B

Energy Flow in Technological Systems

Ms. Terkper's Digital Classroom — Science & Technology Emphasis

Focusing Questions

"Which came first, science or technology, and is it possible for technological development to take place without help from pure science? How did efforts to improve the efficiency of heat engines result in the formulation of the first and second laws of thermodynamics? How can the analysis of moving objects help in the understanding of changes in kinetic energy, force and work? Why are efficiency and sustainability important considerations in designing energy conversion technologies?"

Program Outcomes

Outcome 1: Analyze how technologies based on thermodynamic principles were developed before the laws of thermodynamics were formulated.
Outcome 2: Explain and apply concepts used in theoretical and practical measures of energy in mechanical systems (Ek, Ep, W, scalars, vectors, acceleration).
Outcome 3: Apply the principles of energy conservation and thermodynamics to investigate, describe and predict efficiency of energy transformation in technological systems.

Key Concepts

Forms & Interconversions of Energy Thermodynamic Laws One-Dimensional Motion Kinetic & Potential Energy Mechanical Work Efficiency Sustainability Heat Engines Energy Conversion Devices

Unit Overview

The first and second laws of thermodynamics were useful in developing modern, efficient energy conversion devices. Students learn that while energy is conserved, useful energy diminishes with each conversion. Energy can only be observed when it is being transferred, and mechanical energy can be quantified.

2

History of Thermodynamics & Engines

Technology Before Theory

Key Idea

In thermodynamics, technology came before the science. Engineers improved heat engines through trial and error over centuries before scientists formalized the laws that explained why they worked. The science was derived from observing the technology.

Development of Energy Concepts
1
Count Rumford (1798): Observed that boring cannon barrels produced heat indefinitely — challenging the caloric theory. He proposed that heat is a form of motion, not a substance.
2
James Prescott Joule (1840s): Precisely measured the mechanical equivalent of heat. Showed that mechanical energy and heat are interconvertible. The SI unit of energy (joule) is named after him.
3
1st Law of Thermodynamics: Formalized by Clausius and others (1850). Energy is conserved in all processes — it cannot be created or destroyed.
4
2nd Law of Thermodynamics: Formalized to explain why engines can never be 100% efficient — heat always flows from hot to cold; disorder increases.
The Steam Engine Timeline
YearPersonContribution
1698Thomas SaveryFirst practical steam pump (mining)
1712Thomas NewcomenAtmospheric steam engine; very inefficient
1769James WattSeparate condenser — dramatically improved efficiency; defined "horsepower"
1824Sadi CarnotTheoretical maximum efficiency of any heat engine (Carnot cycle)
1850sClausius / KelvinFormal statement of both laws of thermodynamics

Aboriginal Perspectives

Pre-contact First Nations and Inuit peoples applied sophisticated understandings of thermal energy and transfer in tool making, design of structures (e.g., igloos for insulation), and heating technologies — practical thermodynamic engineering that predates European formalization of these laws.

How Energy Concepts Were Discovered

Caloric Theory (Wrong!)

Early scientists thought heat was an invisible fluid called "caloric." Rumford's cannon-boring experiment showed heat was limitless as long as boring continued — impossible if heat were a finite fluid.

Joule's Experiments

Joule used a paddle wheel turned by falling weights to heat water. By measuring the temperature rise, he calculated: 4.18 J of mechanical work = 1 cal of heat.

Watt's Innovation

James Watt observed that Newcomen's engine wasted energy re-heating the cylinder on every stroke. Adding a separate condenser kept the cylinder hot and increased efficiency dramatically.

3

Forms of Energy & Conversions

Major Forms of Energy

Kinetic

Energy of motion. Any moving object has kinetic energy. Ek = ½mv²

Examples: moving car, wind, flowing water

Gravitational Potential

Energy due to position above a reference point. Ep = mgh

Examples: water in a dam, ball held up high

Chemical Potential

Energy stored in chemical bonds — a form of potential energy.

Examples: gasoline, food (glucose, ATP), batteries

Thermal

Energy from random motion of particles (heat). Always produced as a "waste" in conversions.

Examples: friction, combustion heat, body heat

Electrical

Energy carried by moving charges (current).

Examples: power grid, batteries, lightning

Solar (Radiant)

Energy carried by electromagnetic waves (light).

Examples: sunlight, infrared radiation

Sound

Energy carried as pressure waves through matter.

Examples: speaker, thunder, vibration

Nuclear

Energy stored in the nucleus of atoms, released by fission or fusion.

Examples: nuclear power plants, the Sun

Interactive Energy Flow — Click any stage to learn more
Example: Coal-Burning Power Plant → Your Light Bulb
Chemical
Coal
Thermal
Combustion
Kinetic
Steam/Turbine
Electrical
Generator
Light
Light Bulb
Click a stage above to see details. Each conversion loses some energy as waste heat — this is why the overall system is less than 100% efficient.
Common Energy Conversions in Technology
DeviceInput EnergyOutput EnergyWaste
Car EngineChemicalKineticThermal
Hydroelectric DamGravitational Pot.ElectricalThermal
Solar PanelSolarElectricalThermal
Light Bulb (LED)ElectricalLightThermal
Wind TurbineKineticElectricalThermal
Nuclear PlantNuclearElectricalThermal

Evidence of Energy Transfer

Energy can only be observed when it is being transferred. Evidence that energy transfer is occurring includes:

  • Change in motion (acceleration or deceleration)
  • Change in shape (deformation, compression)
  • Change in temperature (heat gained or lost)
  • Observable physical or chemical changes
ΔE = W    (change in energy = work done)
4

One-Dimensional Motion

Scalar vs Vector Quantities
QuantityScalar or Vector?DefinitionSI Unit
DistanceScalarTotal path length travelledm
DisplacementVectorChange in position (direction matters)m
SpeedScalarDistance per unit timem/s
VelocityVectorDisplacement per unit timem/s
AccelerationVectorChange in velocity per unit timem/s²
MassScalarAmount of matter in an objectkg
ForceVectorA push or a pullN (kg·m/s²)
WorkScalarForce × displacementJ (N·m)

Key Motion Definitions

velocity = Δd / Δt

Velocity = change in position ÷ change in time. Direction is important.

a = Δv / Δt

Acceleration = change in velocity ÷ change in time. Can be positive (speeding up) or negative (slowing down).

At constant speed:

No net force is needed (in the absence of resistive forces). No energy input is required to maintain constant speed — only to overcome friction.

Reading Motion Graphs

  • d-t graph: Slope = velocity. Horizontal line = at rest.
  • v-t graph: Slope = acceleration. Area under line = displacement.
  • Constant acceleration appears as a straight line on a v-t graph.
  • Constant velocity appears as a horizontal line on a v-t graph.
Slope = velocity; a horizontal line means constant velocity (no acceleration).
5

Energy Equations & Work

Ek = ½mv²
Ek = kinetic energy (J)  |  m = mass (kg)  |  v = velocity (m/s)
Ep = mgh
Ep = gravitational potential energy (J)  |  g = 9.8 m/s²  |  h = height (m)
W = Fd = ΔE
W = work (J)  |  F = force (N)  |  d = displacement (m)

Kinetic Energy Calculator

Ek = ½mv²  —  Adjust the sliders to calculate kinetic energy in real time.
Kinetic Energy
2,500
Joules (J)
Ek = ½ × 50 × 10² = 2500 J

Gravitational Potential Energy Calculator

Ep = mgh  —  g = 9.8 m/s² (Earth)
Gravitational Potential Energy
490
Joules (J)
Ep = 10 × 9.8 × 5 = 490 J

Work Calculator

W = F × d  —  Work is done when a force moves an object in the direction of the force.
Work Done
1,000
Joules (J)
W = 100 N × 10 m = 1000 J

Free Fall — Energy Conservation

At height h: all energy is Ep = mgh. At the bottom: all energy is Ek = ½mv². Total energy is conserved.
Initial Ep (at top)
980
Joules
Final Ek (at bottom)
980
Joules
Impact velocity:  —  Ep = Ek confirms conservation of energy
Joule Derivation from Fundamental Units

The SI unit of energy and work is the joule (J). It is derived from:

W = F × d
1 J = 1 N × 1 m
1 N = 1 kg·m/s²
∴ 1 J = 1 kg·m²/s²

This confirms that energy and work share the same fundamental units, consistent with the work-energy theorem: ΔE = W

5 Worked Problems
1. Ek of a 1000 kg car at 20 m/s?
Ek = ½mv² = 0.5 × 1000 × 20² = 200,000 J = 200 kJ
2. Ep of a 5 kg ball at 12 m height?
Ep = mgh = 5 × 9.8 × 12 = 588 J
3. Work done pushing 200 N over 15 m?
W = Fd = 200 × 15 = 3000 J = 3 kJ
4. Speed of a 2 kg object with Ek = 100 J?
v = √(2Ek/m) = √(200/2) = √100 = 10 m/s
5. Acceleration of 4 kg object from 0 to 6 m/s in 3 s?
a = Δv/Δt = (6−0)/3 = 2 m/s²
6

Laws of Thermodynamics & Efficiency

1

First Law of Thermodynamics

Conservation of Energy:
Energy cannot be created or destroyed; it can only be converted from one form to another. The total energy of an isolated system remains constant.

Etotal in = Etotal out

Consequence: You cannot build a perpetual motion machine that creates energy from nothing.

2

Second Law of Thermodynamics

Energy Degradation:
In every energy conversion, some energy is converted to thermal energy (heat) that cannot be fully recovered as useful work. Disorder (entropy) always increases.

Efficiency < 100% (always)

Consequence: Heat engines are never 100% efficient — some energy always "leaks" as waste heat.

Efficiency Formula

Efficiency = (Euseful out / Etotal in) × 100%
Efficiency is always between 0% and 100%

Worked Efficiency Example

A car engine burns fuel containing 400,000 J of chemical energy and produces 100,000 J of useful kinetic energy. What is its efficiency?

Efficiency = (100,000 / 400,000) × 100%
Efficiency = 0.25 × 100% = 25%
Waste heat = 400,000 − 100,000 = 300,000 J

Why Can't Engines Be 100% Efficient?

The Second Law requires that heat always flows from hot to cold. In a heat engine, some of the thermal energy must be rejected to the cold reservoir (exhaust). This is not a design flaw — it is a fundamental law of nature.

Interactive Efficiency Explorer
Select a real device or enter custom values:
Car Engine
~25%
LED Bulb
~90%
Incandescent
~10%
Hydro Dam
~90%
Coal Plant
~35%
Elec Motor
~95%
Solar Cell
~20%
Fuel Cell
~60%
25% Useful
Useful Output
25 J
Wasted as Heat
75 J
Fuel Comparison — Alberta Power Plants
FuelEnergy ContentTypical EfficiencyCostEnvironmental ImpactSustainability
Coal~24 MJ/kg~35%LowHigh CO2, SO2, particulatesNot sustainable
Natural Gas~55 MJ/kg~50%MediumLower CO2 than coal; cleaner burnLimited
HydroelectricVaries with flow~90%Low (operating)Low emissions; habitat changeRenewable
WindVaries with wind~45%Medium (capital)Very low; some wildlife impactRenewable
Solar (PV)~1400 W/m²~20%Medium–HighLow (manufacturing impact)Renewable
Nuclear~3.9M MJ/kg U~33%High (capital)Low emissions; waste disposalLong-term concerns
7

Interactive Practice & Quizzes

Knowledge Check Quiz

Test your understanding of energy, motion and thermodynamics.

Energy Flow — Science 10

Question 1 of 10 0 / 0

Energy Conversion Match

Match each device on the left with its primary energy conversion on the right.

0 of 6 matched

Vocabulary Flashcards

Click the card to flip it. Use the arrows to navigate.

Click to flip
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