STEM REASONING AND EVIDENCE WORKBENCH
Compare modeled constant-force work with kinetic-energy change and audit consistency claims under an explicit percentage 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
Constant-force work W equals force magnitude F times displacement d times cosine of included angle theta. Kinetic-energy change delta K equals one half mass times final speed squared minus initial speed squared. Residual equals W minus delta K. Residual percentage is absolute residual divided by the larger of one hundredth, absolute W, and absolute delta K, times one hundred. A supported claim means its yes or no label matches the entered residual threshold. Small residuals support compatibility with this bounded model; they do not prove that the chosen force was the only transfer or that measurements are unbiased. Large residuals invite checks of force direction, friction, elevation, rotation, sensor calibration, timing, uncertainty, and system boundaries.
Confirm the question, approved source, units, notation, signs, response coding, model assumptions, and review threshold. Keep an unchanged copy of measurements or learner evidence.
Run the worked example, inspect every intermediate row, and compare the result with a hand calculation, diagram, representation, periodic table, or approved laboratory method.
Record the method, assumptions, uncertainty, units, classifications, and flagged rows. Verify the editable report independently before instruction, assessment, or laboratory use.
How to interpret the result
Use while planning or reviewing a bounded cart, block, or particle investigation where one modeled constant force is expected to account for kinetic-energy change. It makes sign and residual evidence explicit. It does not integrate a variable force, include rotational energy, infer unmeasured friction, separate several forces, certify sensors, determine uncertainty automatically, or prove conservation from agreement alone.
A two-kilogram cart changing from zero to two metres per second gains four joules, matching two newtons over two metres. A force opposite displacement does negative four joules and matches the kinetic decrease. A perpendicular force produces approximately zero work and no kinetic change. The final trial gains eight joules but models only four joules of work, so a yes claim fails the five-percent rule.
Constant-force work W equals force magnitude F times displacement d times cosine of included angle theta. Kinetic-energy change delta K equals one half mass times final speed squared minus initial speed squared. Residual equals W minus delta K. Residual percentage is absolute residual divided by the larger of one hundredth, absolute W, and absolute delta K, times one hundred.
A supported claim means its yes or no label matches the entered residual threshold. Small residuals support compatibility with this bounded model; they do not prove that the chosen force was the only transfer or that measurements are unbiased. Large residuals invite checks of force direction, friction, elevation, rotation, sensor calibration, timing, uncertainty, and system boundaries.
Do not omit cosine, use degrees as radians, make every work value positive, square a velocity difference instead of each velocity, confuse speed with signed velocity in kinetic energy, divide by a near-zero result without a scale floor, round early, or call unexplained residual energy loss. Draw the force direction, declare the system, retain guard digits, and compare with uncertainty.
Learning boundary
This browser-local workbench applies only the disclosed rules. It cannot diagnose a learner, certify an experiment, establish a chemical structure, 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 school-approved system.
No. It describes entered evidence under one disclosed rule. Compare several evidence sources and ask for reasoning before drawing a conclusion.
Treat it as an editable calculation aid. Show your own reasoning, cite required sources, and follow the course method and academic-integrity rules.
YOUR NIRMION
