A.3.1—Conservation of energy

Syllabus
First assessment 2025
Objective
Level
HL

Conserve Energy in a System

Energy is conserved

Energy cannot be created or destroyed. In a defined system, energy is transferred between stores or across the system boundary, so the total energy accounting remains balanced.

Define the system first

Name the objects included and identify transfers by work, heating, radiation or electrical means. A falling object may transfer gravitational potential energy to kinetic energy, internal energy or sound.

Follow the chain

Write the initial store, the useful output store and any dissipated or transferred energy. A Sankey diagram or energy-flow statement should account for all significant branches.

Common trap

Energy “lost” from a useful store has been transferred elsewhere; it has not disappeared.

A.3.1 Exam Analysis

Assessment in practice

2–4 marks
How it is assessed

The evidence asks learners to outline energy changes in a pumped-storage hydroelectric system or describe gravitational potential energy becoming internal energy of air.

Command terms

Outline / Describe

What earns marks

Name the initial and final energy stores and identify the transfer pathway, including useful output and dissipated energy. For a pumped-storage system, track gravitational potential energy of water through kinetic/mechanical energy to electrical output.

Watch for

Listing energy forms without stating the direction of transfer or omitting the dissipated/internal-energy branch.

Representative question

Question 1

[Maximum number: 2]

Outline, with reference to energy changes, the operation of a pumped storage hydroelectric system.

Retrieve the A.3 Work, Energy and Power Model

Account for energy

Define the system, identify energy stores and describe transfers. Work done by a force transfers energy; total energy is conserved even when mechanical energy is not.

Use the mechanical model

E_k= rac12mv^2,\quad \Delta E_{p,g}=mg\Delta h,\quad E_{p,elastic}= rac12k(\Delta x)^2

Conserve their sum only when resistive transfers are absent or included explicitly.

Use rates and ratios

P= rac{\Delta E}{\Delta t}=Fv,\qquad \eta= rac{E_{useful}}{E_{input}}= rac{P_{useful}}{P_{input}}

Fuel energy density connects available input energy to a chosen volume.

Final checks

Check the system boundary, signs of work and potential-energy changes, the reference height, extension from natural length, and whether the quantity is energy, power, efficiency or energy density.