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PHYSICS IN ACTION / LABORATORY 05

Collision table.

Two bodies. One encounter. Discover what changes and what stays the same.

Before impactFRICTIONLESS TRACK → +x
0,00 s
EXPLORE THE TIMELINE
0 sImpact · 1.28 s4,28 s
MOMENTUM p
0,00 kg·m/s
Conserved in the system
KINETIC ENERGY Ec
8,00 J
100 % of initial kinetic energy
TRANSFORMED ENERGY ΔE
0,00 J
Deformation, heat and sound

Behind the motion

Physics at a glance.

Body ABody BTransformed
WHAT IS HAPPENING?

An exchange of velocities.

Model prediction

A starting point

FOUR WAYS TO DISCOVER

Your lab notebook

Calculated values before and after impact
BodyMassInitial velocityFinal velocityInitial → final momentumInitial → final kinetic energy

Final values are an analytical prediction of the impact.

The scientific model Assumptions, equations and limits +

A collision in one dimension

Two bodies move on an ideal horizontal track, with no friction or external horizontal forces. The impact is instantaneous and head-on. Rotation, air resistance and visible deformation are omitted. The balls translate; they do not model rolling spheres.

Centres start at −3 m and +3 m. Each body has a physical half-length of 0.45 m, regardless of mass. Balls and vehicles use exactly the same model.

What we calculate

Momentum: p = m₁v₁ + m₂v₂
Kinetic energy: Ec = ½m₁v₁² + ½m₂v₂²
Restitution: v₂ − v₁ = e(u₁ − u₂)
Transformed energy: ΔE = ½μ(1 − e²)(u₁ − u₂)² · μ = m₁m₂/(m₁ + m₂).

u is initial velocity and v is final velocity. If u₁ ≤ u₂, the bodies never catch up. Transformed energy does not disappear: it becomes internal energy, deformation and sound. Their individual shares are not calculated.

How to read the scene

+ means motion to the right, − to the left. The view adapts to keep both bodies visible. Velocity arrows use a separate scale and labels remain readable. Values are rounded only for display. Velocity arrows have a capped visual length: compare magnitudes using their numerical labels.

At e = 1 the impact is elastic. At 0 < e < 1 it is partially inelastic. At e = 0 the bodies stay together, conserving total momentum but generally not kinetic energy.

QUICK GUIDE

Experiment. Watch. Understand.

  1. Prepare the encounter. Set masses, velocities and bounce, or choose an example.
  2. Make a prediction. Who will move faster? Will they bounce?
  3. Start and observe. Pause, change playback speed or move along the timeline.
  4. Look for what is conserved. Compare momentum and energy in the charts and notebook.

Negative velocities point left. If A cannot catch B, no impact occurs. Changing parameters resets time.

THINK BEFORE PRESSING PLAY

Can you predict the impact?

ReferenceOpenStax · University Physics, 9.4 · Types of Collisions

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