KHAEMENES ACADEMY · PHYSICS 12 · WEEK 15 · DAY 04

Collision-Data Investigation

Use supplied or simulated collision data to test momentum conservation and quantify uncertainty.

Explicit physics instruction

A conservation claim should be tested by comparing total momentum before and after across repeated trials.

Calculate Δp_system=p_after−p_before and compare that residual with measurement uncertainty. A small nonzero residual may be consistent with friction or measurement limits.

Preserve raw mass/velocity data before calculated momenta so the analysis remains reproducible.

Vocabulary: raw data; momentum residual; uncertainty; repeated trial; conservation test.

Worked example with reasoning

Trial: p_before=1.20 kg·m/s and p_after=1.16 kg·m/s gives Δp=−0.04 kg·m/s. Whether that meaningfully violates conservation depends on the uncertainty scale.

Guided question

How would velocity measurement uncertainty propagate into confidence about momentum conservation?

Independent work

  1. Preserve the raw collision table.
  2. Calculate object and system momenta before/after.
  3. Graph or tabulate momentum residuals.
  4. Write one uncertainty statement and one method revision.

Investigation / Data Lab

Preserve raw mass/velocity data, signed momenta, system residuals, uncertainty, and one revision.

Misconception check

A small difference between before and after does not automatically falsify conservation; compare it with uncertainty and external impulse.

Formative understanding check

What is stronger evidence than one nearly conserved trial?

Reveal response

Repeated trials with residuals that remain small relative to uncertainty and expected external impulse.

Mentor evidence conference

Ask Archaemenes to audit the system boundary, sign convention, and conservation assumption.

Teacher guidance

Foundation: Use supplied mass/velocity tables.

Core: Calculate residuals and evaluate conservation.

Extended: Propagate simple velocity uncertainty into momentum uncertainty.