Energy

Jun 6, 2025

Overview

This lecture covers the concept of energy, different energy stores, key equations for energy calculations, practical experiments, efficiency, and types of energy sources.

Energy Concepts and Conservation

  • Energy is a number that describes what happens when objects interact within a system.
  • Total energy in an interaction is always conserved; energy cannot be created or destroyed (except via mass-energy conversion in nuclear reactions).
  • Energy is measured in Joules (J).

Types (Stores) of Energy

  • Kinetic Energy: Calculated by ( E = \frac{1}{2}mv^2 ); depends on mass and speed.
  • Gravitational Potential Energy (GPE): Calculated by ( E = mgh ); depends on mass, gravitational field strength, and height.
  • Elastic Potential Energy: Calculated by ( E = \frac{1}{2}kx^2 ); depends on a spring's stiffness (k) and extension (x).
  • Thermal Energy (Change): Calculated by ( E = mc\Delta T ); depends on mass, specific heat capacity, and temperature change.
  • Chemical Potential Energy: Present in fuels and food; no specific equation at this level.

Energy Transfer and Closed Systems

  • Energy transfers occur between objects or energy stores for any change in a system.
  • In closed systems, no energy is lost to or gained from surroundings, allowing equations like energy lost = energy gained.

Example Calculations and Rearranging Equations

  • For falling objects: GPE lost equals KE gained (( mgh = \frac{1}{2}mv^2 )).
  • To solve for speed: ( v = \sqrt{2gh} ) if masses cancel out.
  • Energy may be lost to surroundings if not a closed system, usually due to friction or air resistance.

Specific Heat Capacity Practical

  • Measure the mass and temperature rise of a heated block to calculate specific heat capacity.
  • Some energy is lost to surroundings, making measured SHC values higher than actual.
  • Power (( P )) is the rate of energy transfer: ( P = \frac{E}{t} ) (watts = joules/second).

Efficiency

  • Efficiency = useful energy out / total energy in (can use power values too).
  • Efficiency may be given as a decimal or percentage; lost energy is often in the form of heat.

Energy Sources

  • Finite (Non-renewable): Fossil fuels (coal, oil, gas) and nuclear fuel (uranium).
  • Renewable: Wind, hydroelectric, solar, geothermal, and biofuels.

Key Terms & Definitions

  • Energy Store — Form of energy kept in an object or system (e.g., kinetic, potential).
  • Closed System — No energy enters or leaves the system.
  • Specific Heat Capacity (SHC) — Energy needed to raise 1 kg of a substance by 1°C.
  • Power (P) — Rate at which energy is transferred (watts, W).
  • Efficiency — Ratio of useful energy output to total energy input.

Action Items / Next Steps

  • Practice rearranging and using energy equations.
  • Understand practical setups for measuring SHC.
  • Review types of energy sources and their properties.