Energy Concepts and Calculations

Jun 17, 2025

Overview

This checkpoint covers key concepts in energy, including definitions, forms, transformations, the law of conservation, calculation of potential and kinetic energy, and practical energy conversion examples.

Basic Energy Concepts

  • Energy is the ability to do work or cause change.
  • The SI unit of energy is the Joule (J).

Types of Energy

  • Active energy (kinetic energy) is the energy of motion.
  • Potential energy is stored energy due to position or condition.
  • Active energy examples: running cheetah, moving car, flowing water.
  • Potential energy examples: stretched bow, water behind dam, raised object.

Energy Transformation

  • Energy transformation is the process of converting one form of energy into another.

Energy Transformation Diagrams

  • Rabbit jumping: potential energy → kinetic energy
  • Washing machine: electrical energy → mechanical (kinetic) + heat + sound energy
  • Eating food and running: chemical energy → kinetic energy
  • Turning on Bunsen burner: chemical energy → heat + light energy

Law of Conservation of Energy

  • Energy cannot be created or destroyed, only transformed from one form to another.

Gravitational Potential Energy Calculations

  • Ep = mgh, where g = 10 m/s².
  • (a) Ep = 84 kg × 10 × 13.4 m = 11,256 J
  • (b) Ep = 147 kg × 10 × 20.9 m = 30,723 J
  • (c) Jug A: Ep = 0.5 kg × 10 × 11.2 = 56 J; Jug B: Ep = 0.302 kg × 10 × 14.4 = 43.488 J; Jug A has more Ep.

Kinetic Energy Calculations

  • Ek = ½mv².
  • (d) Lion: Ek = 0.5 × 54 × 30² = 24,300 J
  • (e) Truck: Ek = 0.5 × 403 × 80² = 1,289,600 J
  • (f) Kea: Ek = 0.5 × 0.15 × 42² = 132.3 J; Kākāpo: Ek = 0.5 × 0.302 × 56² = 473.12 J; Kākāpo has more Ek.

Energy Conversion in Appliances

  • Hair dryer: Heat = 250 J; Useful = 250 J; Wasteful = 150 J
  • TV: Electrical = 2650 J; Useful = 1850 J; Wasteful = 800 J
  • Washing machine: Light = 200 J; Kinetic = 6300 J; Wasteful = 1700 J

Key Terms & Definitions

  • Energy — ability to do work or cause change.
  • Joule (J) — SI unit of energy.
  • Active (Kinetic) Energy — energy of moving objects.
  • Potential Energy — stored energy based on position or condition.
  • Energy Transformation — conversion from one energy form to another.
  • Law of Conservation of Energy — energy is neither created nor destroyed.

Action Items / Next Steps

  • Review formulas for Ep and Ek.
  • Complete any outstanding calculations and fill in appliance energy tables if not finished.
  • Prepare for further discussions on energy efficiency.