A.2.22—Collision energy

Syllabus
First assessment 2025
Objective
—
Level
SL

Track Energy in Collisions and Explosions

Track the energy store

Total energy is conserved, but kinetic energy may be transferred to internal energy, sound, deformation or chemical energy during an interaction.

Collision comparison

Elastic collisions conserve total kinetic energy as well as momentum. Inelastic collisions conserve momentum but have a lower final total kinetic energy.

Explosion comparison

An explosion can convert internal energy into kinetic energy, so final kinetic energy can exceed the initial kinetic energy while total momentum remains conserved.

Common trap

“Kinetic energy is lost” is shorthand for transferred to other stores; it is not destroyed.

A.2.22 Exam Analysis

[ 3 ]

Show that the collision is inelastic.

Retrieve the A.2 Forces and Momentum Model

Build the force model

Choose the system, draw a labelled free-body diagram, classify the interactions and resolve components. Apply Newton’s laws with the correct boundary: contact forces, field forces, friction, tension, buoyancy and restoring forces each have their own direction and conditions.

Track momentum

Use ec p=m ec v, ec J=\Delta ec p and momentum conservation only after checking external impulse. Distinguish elastic and inelastic collisions, explosions and energy transfer.

Track circular motion

The inward resultant provides ac=v2/r=ω2ra_c=v^2/r=\omega^2r. It may come from tension, gravity, normal, friction or a field force. Angular and linear descriptions are linked by v=ωr=2πr/Tv=\omega r=2\pi r/T.

Final checks

Ask: Which body is the system? Which forces are external? Is mass constant? Is acceleration uniform or radial? Is kinetic energy conserved, transferred or increased?