STEM PRACTICE AND EVIDENCE WORKBENCH
Calculate signed one-dimensional momentum before and after collisions and audit conservation claims under an explicit tolerance.
Review output
Load the worked example to inspect realistic inputs, or enter anonymous classroom or laboratory evidence. Results remain in this browser tab until you copy or download them.
Transparent method
Total one-dimensional momentum before is m1u1 plus m2u2; after is m1v1 plus m2v2. Residual is after minus before. Residual percentage is its absolute magnitude divided by the larger of before magnitude, after magnitude, and a small floor. Conserved means that percentage does not exceed the entered tolerance. Supported means the yes-or-no claim matches the residual rule. Numerical agreement supports compatibility with conservation for the declared system, but does not prove external impulse is negligible. Review direction signs, frame, timing, mass constancy, uncertainty, friction, track tilt, rotation, deformation, and kinetic energy as separate evidence.
Confirm the question, source, units, notation, response coding, model assumptions, and review threshold. Keep an unchanged copy of the original evidence.
Run the worked example, inspect every intermediate row, and compare it with a hand calculation, diagram, representation, or approved subject method.
Record the method, assumptions, units, classifications, and flagged rows. Verify the editable report independently before educational or laboratory use.
How to interpret the result
Use to plan or review a bounded two-object collision investigation after synchronized masses and velocities are available. The planner shows component momenta and residuals. It does not solve unknown velocities, infer collision type, evaluate kinetic energy, handle two-dimensional vectors, correct sensors, or prove the system is isolated.
Equal sticky carts with one moving at two units per second have momentum two before and after both move at one. An elastic exchange also preserves the signed total, as does the opposite-direction example. The review trial begins with total four but ends with total two, so the entered yes claim is flagged beyond the two-percent tolerance.
Total one-dimensional momentum before is m1u1 plus m2u2; after is m1v1 plus m2v2. Residual is after minus before. Residual percentage is its absolute magnitude divided by the larger of before magnitude, after magnitude, and a small floor. Conserved means that percentage does not exceed the entered tolerance.
Supported means the yes-or-no claim matches the residual rule. Numerical agreement supports compatibility with conservation for the declared system, but does not prove external impulse is negligible. Review direction signs, frame, timing, mass constancy, uncertainty, friction, track tilt, rotation, deformation, and kinetic energy as separate evidence.
Do not discard negative velocity, compare speed totals, average velocities without mass, calculate each object in a different positive direction, divide momenta instead of summing, label every collision elastic, or assume a small residual proves isolation. Draw the system and vector direction, retain guard digits, and assess uncertainty.
Learning boundary
This browser-local workbench applies only the disclosed rules. It cannot diagnose a learner, certify an experiment, or replace teacher, laboratory, and safety judgment.
Review checklist
Practical questions
No. Processing occurs in the current browser tab. Avoid personal information and retain authoritative records only in the approved school system.
No. It describes entered evidence under one disclosed rule. Review reasoning, uncertainty, access, and several evidence sources.
Treat it as an editable calculation aid. Show your own reasoning, cite required sources, and follow course and academic-integrity rules.
YOUR NIRMION
