Student task
Student can explain why "N = m(g + a)" follows from the diagram state and givens.
Focus checkpoints
- Choose the upward vertical axis
- Apply Newton's second law vertically
- Solve for the scale force
- Substitute values
Observe for
- Does the student avoid this trap without prompting: Using N = mg and ignoring the upward acceleration.
- Which checkpoint caused the first real hesitation or correction?
- Did the reveal help them explain the equation, or only copy the next algebra line?
Equation-choice spot checks
- Choose the upward vertical axisWhat feature of the diagram, sign convention, or givens makes "Choose the upward vertical axis" the right next equation?Listen for: The elevator accelerates upward, so choosing +y upward makes the acceleration positive.Flag if: Student can only quote "+y = upward" without connecting it to the diagram state or givens.
- Apply Newton's second law verticallyWhat feature of the diagram, sign convention, or givens makes "Apply Newton's second law vertically" the right next equation?Listen for: Normal force is positive and weight is negative on the chosen axis. The net upward force equals ma.Flag if: Using N = mg and ignoring the upward acceleration.
- Solve for the scale forceWhat feature of the diagram, sign convention, or givens makes "Solve for the scale force" the right next equation?Listen for: Rearranging the vertical equation shows the scale must support weight and provide the extra upward acceleration.Flag if: Subtracting ma from mg for an upward-accelerating elevator.; Reporting 65 kg as the scale reading instead of converting the force model to newtons.
- Substitute valuesWhat feature of the diagram, sign convention, or givens makes "Substitute values" the right next equation?Listen for: The upward acceleration makes the scale reading larger than the passenger's weight. The scale reads about 7.5e2 N.Flag if: Student can only quote "N = 65(9.8 + 1.8) = 754 N" without connecting it to the diagram state or givens.
- Open the Solve-mode link for Passenger in an accelerating elevator and ask the student to restate the target unknown before writing equations.
- Ask for the diagram state first: axes, direction assumptions, and the force or motion components they expect to use.
- Let the student attempt one scratch line before any checkpoint reveal, then use Check this line only after the attempt.
- If they stall, reveal one checkpoint and ask them to say which diagram element or given made that equation necessary.
- After the result checkpoint, ask for one sentence explaining why the chosen governing equation was the right model.